tag:blogger.com,1999:blog-88270175894959074642024-03-14T08:11:44.278-03:00Ciência X ReligiãoEste blog é destinado ao debate científico contra a superstição. Não permitirei ofensas pessoais, brincadeiras tolas e palavras de baixo calão.
O debate está aberto a todos - cientistas, leigos, religiosos, agnósticos e ateus, mas será útil que apresentem evidências plausíveis de seus contra-pontos.
Não serão aceitos comentários de anônimos ou comentários que façam apenas proselitismo religioso.
GRATO PELA COLABORAÇÃO
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.comBlogger230125tag:blogger.com,1999:blog-8827017589495907464.post-49212249647413216072013-12-26T14:40:00.000-02:002013-12-26T14:40:29.935-02:00 O UNIVERSO DOS TÁQUIONS - Parte 12.14<!--[if gte mso 9]><xml>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">5 - Conclusão:</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";"></span></div>
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<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">De acordo com o acima exposto, as objeções, tanto quanto à
velocidade de dobra, como aos wormholes são muito maiores que suas
posibilidade, o que as torna praticamnete improváveis, seja no aspecto de sua
geração, como em mantê-las em um regime permanente que propicie uma viagem de
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Ao que parece, a matéria exótica que propiciaria a
velocidade de dobra proposta por Alcubierre seria a matéria taquiônica, a qual
possui massa imaginária, e, sendo assim, o quadrado de sua massa seria
negativo.</span></div>
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<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Entretanto, conforme foi apresentado acima, a warp drive e
os wormholes, sejam eles naturais ou artificiais, parecem ser um tanto
impossibilitados por questões apresentadas na física quântica, bem como na
teoria relativística.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Há que se considerar além disso, os perigos que uma dobra
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">No caso dos wormholes, haveria o perigo de conectarem um
ponto a outros pontos indesejáveis, como o núcleo de uma estrela ou o núcleo de
um buraco negro ou ainda a um mundo em outra dimensão, no passado, presente ou
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aquém da possibilidade de um dia podermos executar viagens espacial a
velocidades superluminais.</span></div>
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com8tag:blogger.com,1999:blog-8827017589495907464.post-15863786522462711202013-12-26T14:33:00.000-02:002013-12-26T14:33:06.509-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.13<!--[if gte mso 9]><xml>
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<b style="mso-bidi-font-weight: normal;"><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">5 - </span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A matéria exótica:</span></b></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
matéria exótica possui as seguintes propriedades:</span></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="color: #990000;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> <b style="mso-bidi-font-weight: normal;">- Massa negativa (obs.: a antimatéria possui massa
positiva; não se conhece nenhuma partícula com tal propriedade);</b></span></span></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<span style="color: #990000;">
</span><div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="color: #990000;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> - Massa
imaginária (no caso os táquions);</span></b></span></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<span style="color: #990000;">
</span><div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="color: #990000;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> </span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">- Bárions exóticos – partículas
hipotéticas compostas hipotéticos que apresentam estados ligados de 4 ou mais
quarks e partículas elementares adicionais. Os bárions ordinários são estados
ligados de apenas 3 quarks. As partículas adicionais podem incluir quarks,
antiquarks e glúons.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"></span></span></div>
<span style="color: #990000;">
</span><div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<span style="color: #990000;">
</span><div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="color: #990000;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">- </span></b><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://pt.wikipedia.org/wiki/Estado_da_mat%C3%A9ria" title="Estado da matéria">Estados da matéria</a></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> que não é comum encontrar, como o </span></b><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://pt.wikipedia.org/wiki/Condensado_de_Bose-Einstein" title="Condensado de Bose-Einstein">Condensado de
Bose-Einstein</a></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;"> ou </span></b><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://pt.wikipedia.org/wiki/Plasma_de_quarks-gl%C3%BAons" title="Plasma de quarks-glúons">plasma de quarks e glúons</a></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">, mas cujas propriedades inserem-se perfeitamente no
domínio do atual paradigma físico.</span></b></span></div>
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<br /></div>
<span style="color: #990000;">
</span><div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="color: #990000;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">- Estados da matéria
cujas propriedades são atualmente mal compreendidas pela ciência, como as
partículas de </span></b><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://pt.wikipedia.org/wiki/Mat%C3%A9ria_escura" title="Matéria escura">matéria escura</a></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%;">, cujos candidatos são
os WIMP e MACHO. WIMP é um acrônimo para partícula massiva de interação fraca e
MACHO é um acrônimo para objeto de halo compacto maciço (astrofísico). </span></b></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"></span></div>
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<br /></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Essa
matéria exótica seria aquela utilizada para proporcionar a velocidade de dobra
ou mesmo abrir e manter aberto um wormhole, conforme os esquemas abaixo:</span></div>
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<a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><img alt="" 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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">No caso da bolha de dobra, a energia negativa é produzida por
matéria exótica:</span></div>
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<br />
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/></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> Em momento oportuno a questão da matéria exótica será melhor tratada.</span></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-19910315065096633812013-12-26T13:26:00.000-02:002013-12-26T13:57:43.688-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.12<div style="text-align: center;">
<b>Objeções à velocidade de dobra:</b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:RelyOnVML/>
<o:AllowPNG/>
</o:OfficeDocumentSettings>
</xml><![endif]--></b></div>
<div style="text-align: justify;">
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<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
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<w:DontVertAlignCellWithSp/>
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<w:DontVertAlignInTxbx/>
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<w:CachedColBalance/>
<w:UseFELayout/>
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<m:mathPr>
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<m:brkBin m:val="before"/>
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<m:smallFrac m:val="off"/>
<m:dispDef/>
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<w:LsdException Locked="false" Priority="0" SemiHidden="false"
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<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
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<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
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<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
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<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
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<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">No entanto</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">, é improvável <span class="hps">que se possa</span> <span class="hps">livrar-se</span> <span class="hps">do movimento</span> <span class="hps">taquiônico</span>
<span class="hps">da</span> <span class="hps">matéria exótica</span> <span class="hps">sem a introdução de</span> <span class="hps">uma singularidade</span> <span class="hps">curvatura</span> <span class="hps">nua na</span> <span class="hps">frente
da</span> <span class="hps">bolha, sendo que ainda conforme demonstra o traballho </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">“<a href="http://www.ccsenet.org/journal/index.php/apr/article/viewFile/14748/10133">Violation
of the Spatial Quantum Inequality and the Quantum Interest Conjecture: A New
Approach</a>”, pode ser demonstrado que para um campo escalar desprovido de
massa no espaço-tempo na dimensão 1-1, pode-se formular um estado quântico em
que a QI é violada.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Quanto
ao estado da QIC, este é violado, pois com a evolução do tempo haverá dois
pulsos de densidade de energia cinética negativa movendo-se em oposição de
direções, com a velocidade da luz.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">No trabalho “</span><a href="http://arxiv.org/pdf/gr-qc/9905084v5.pdf"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">A warp drive with more reasonable total energy requirements</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">”, ao se modificar a geometria proposta por
Alcubierre, ha a redução de energia negativa necessária para que se crie e se
mantenha a bolha de dobra.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Além do fato de que o total de energias
é de magnitude estelar, há as excessivamente grandes densidades de energia envolvidas,
como foi igualmente o caso para a unidade Alcubierre original. Mesmo se as
desigualdades quânticas sobre violações da condição fraca de energia estejam
satisfeitas, resta a questão de gerar energia negativa suficiente.<br />
<br />
Além disso, a geometria tem ainda estrutura com tamanhos apenas de algumas ordens
de magnitude acima da escala de Planck, o que parece ser genérico para espaços-tempos,
o que permite a viagem superluminal.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">No entanto, o que foi mostrado neste
trabalho é que as energias necessárias para sustentar uma bolha de dobra são
muito menores. Isto significa que um motor de dobra modificado cai
sensivelmente na faixa de massa de um grande buraco de minhoca transversal,
embora, a velocidade de dobra tenha topologia trivial.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br />
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Quando aplicada a wormholes e
velocidade de dobra, a QI implica que tais estruturas se encontram limitadas à
escala microscópica e, quando se apresentam de modo macroscópico, as escalas de
energia negativa devem estar confinadas a bandas demasiado estreitas.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Um
wormhole submicroscópico possui um raio de borda em torno de 10<sup>-32</sup>
metros, um pouco maior que o comprimento de Planck, da ordem de 10<sup>-35</sup>
metros, a menor distância que apresenta significado definido.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Há
a possibilidade de que wormholes em escala macroscópica existam, mas a energia negativa
deverá estar concentrada em bandas muito estreitas de sua garganta; e.g. uma
garganta com raio de 1 metro requer uma energia negativa concentrada em uma
banda não maior que 10<sup>-21</sup> metros, o que quer dizer que essa energia
negativa é da ordem de magnitude equivalente ao total da energia liberada por uma
estrela durante 10<sup>10</sup> anosde vida!!!</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Considerando-se
wormholes grandes, para o mesmo modelo, a espessura máxima permitida para a
banda de energia é proporcional à raiz cúbica do raio da garganta do wormhole ,ou
seja:</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span></span></b><b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Θ</span></b><b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;"> </span></b><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="color: red; font-family: "Gulim","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";">∼</span></b><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;"> </span></b><b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">ρ</span></b><b style="mso-bidi-font-weight: normal;"><sup><span lang="EN-US" style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">1/3</span></sup></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Assim,
ainda que o raio de um wormhole cresça a um ano-luz, a energia negativa deverá
estar confinada em uma região menor que o raio de um próton e o total da
energia negativa demandada aumenta lineramente com o tamanho da garganta do wormhole.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Logo,
há problemas terríveis quanto à produção de wormholes, quanto à concentração de
energia negativa e seu confinamento em volumes baixíssimos. Uma esperança para
solucionar este problema é a denominada corda cósmica, hipotetizada em teorias
cosmológicas.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Estas
entidades envolvem grandes densidades de energia em seu comprimento, embora os
modelos de cordas cósmicas apresentem densidades de energia positiva.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">As
mesmas conjecturas aplicadas aos wormholes são aplicadas á velocidade de dobra,
uma vez que, ainda que se tenha modificado o modelo de Alcubierre e se requeira
menor quantidade de energia negativa gerada por efeitos quânticos, a nave teria
de estar em um espaço-tempo curvo cuja garganta da bolha atingisse 10<sup>-32</sup>
m de diâmetro, o que torna a velocidade de dobra improvável, assim como os
wormholes.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 5.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 5.0pt; mso-layout-grid-align: none; text-align: justify; text-autospace: none; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 5.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 5.0pt; mso-layout-grid-align: none; text-align: justify; text-autospace: none; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">De acordo com a pesquisa
preliminar da NASA, os requisitos de energia parecem ser um pouco viáveis se a
unidade é em forma de anel (conforme o esquema abaixo) em vez de um
disco plano.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 5.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 5.0pt; mso-layout-grid-align: none; text-align: justify; text-autospace: none; text-justify: inter-ideograph;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"> </span></div>
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<a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;"><span style="mso-spacerun: yes;"> </span>De acordo
com “</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://arxiv.org/pdf/1111.4356.pdf">Impossibility of superluminal travel
in Lorentz violating theories</a>”</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">, a</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">s bolhas
de dobra são espaços-tempos que permitem viagens superluminais. No entanto, de
acordo com a mecânica quântica, elas são instáveis, porque produzem uma radiação
tal como a radiação de Hawking, que possui desvio pra o azul, em sua parede
frontal, sem obedecer qualquer limite.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Reexaminou-se essa instabilidade quando
invariância de Lorentz local é violada emsob energias ultra-elevadas pela
dispersão, tal como em algumas teorias da gravidade quântica.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Curiosamente</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">,
<span class="hps">apesar de a</span> <span class="hps">divergência</span> <span class="hps">ultravioleta </span>ser <span class="hps">agora</span> <span class="hps">regulada</span>,
<span class="hps">as bolhas de dobra ainda se apresentam instáveis</span>. <span class="hps">Além disso, o</span> <span class="hps">tipo de</span> <span class="hps">instabilidade</span>
<span class="hps">é diferente</span> <span class="hps">caso se trate de uma
dispersão subluminal ou superluminal.</span></span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> <span class="hps">No primeiro caso</span>, um laser <span class="hps">buraco negro</span>
<span class="hps">gera um</span> <span class="hps">ampli</span>fi<span class="hps">cação</span>
<span class="hps">exponencial do</span> <span class="hps">fluxo emitido</span>
enquanto <span class="hps">que,</span> <span class="hps">no segundo</span>, os
efeitos <span class="hps">infravermelhos</span> <span class="hps">produzem um</span>
<span class="hps">crescimento</span> <span class="hps">linear</span> <span class="hps">desse</span> <span class="hps">fluxo.</span></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Estes resultados sugerem que a
cronologia para os viajantes da bolha e para os observadores externos ainda
pode ser protegida, mesmo que violada a invariância de Lorentz.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Com isso, curvas fechadas do tipo
temporal são obtidas pela combinação de várias bolhas de dobra, o que
enfraquece a possibilidade de uma bolha de dobra isolada ser estável </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">independentemente
<span class="hps">das</span> <span class="hps">características da</span> <span class="hps">relação de dispersão</span> <span class="hps">no</span> <span class="hps">regime</span> <span class="hps">ultravioleta.</span></span></div>
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<br /></div>
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<span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Como
conseqüência</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">, ao passo que <span class="hps">tentativas
anteriores</span> <span class="hps">para resolver</span> <span class="hps">a
questão da proteção</span> <span class="hps">cronológica, a apresentada neste
trabalho</span> <span class="hps">dependeu muito da</span> <span class="hps">invariância</span>
<span class="hps">de Lorentz</span> <span class="hps">local.</span></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">O
presente</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> <span class="hps">resultado deste
trabalho sugere que</span> <span class="hps">esta conjectura</span> <span class="hps">pode ser válida</span> <span class="hps">também</span> <span class="hps">para
as teorias</span> <span class="hps">quânticas</span> <span class="hps">de
rendimento, que</span> <span class="hps">violem</span> <span class="hps">a
invariância de Lorentz presente</span> <span class="hps">no setor de</span> <span class="hps">ultravioleta.</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;"></span></div>
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-66076785394966021102013-12-26T12:19:00.000-02:002013-12-26T12:19:01.278-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.11<div style="text-align: center;">
<b>Objeções à velocidade de dobra:</b></div>
<div style="text-align: center;">
<br /></div>
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
violação da condição de energia fraca ou dominante ocorre na teoria quântica de
campos (como no efeito Casimir – ver </span><a href="http://en.wikipedia.org/wiki/Casimir_effect"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">,
</span><a href="http://math.ucr.edu/home/baez/physics/Quantum/casimir.html"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">
e </span><a href="http://www.scientificamerican.com/article.cfm?id=what-is-the-casimir-effec"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">).
A matéria que viola a condição fraca de energia é a denominada matéria exótica. </span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
violação da condição fraca e da dominante, também são requeridas por coisas
exóticas como wormholes de Lorentz, embora um wormhole aparentemente viole a
condição de energia forte. Essa violação ocorreria na condição de uma expansão
inflacionária do universo, que pode ser orientada por uma fonte de um campo
clássico escalar.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">No entanto,</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">há limites para</span> <span class="hps">o
a proporção das violações de energia fraca e dominante</span>, sendo <span class="hps">limitadas pelas</span> <span class="hps">desigualdades</span> <span class="hps">quânticas.</span></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Dada a existência</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">dessas fontes de</span> <span class="hps">matéria
exótica</span>, <span class="hps">amplia-se</span> <span class="hps">muito a
possibilidade</span> <span class="hps">de executar</span> <span class="hps">as
equações de Einstein</span> <span class="hps">no sentido inverso</span>: <span class="hps">primeiro,</span> <span class="hps">escolhe-se</span> <span class="hps">uma</span>
<span class="hps">estrutura geométrica</span> <span class="hps">interessante</span>
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">G</span><sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">, <span class="hps">ou equivalentemente</span> <span class="hps">a métrica</span> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">g</span><sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">,</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">antes de encontrar</span> <span class="hps">a fonte de</span> <span class="hps">matéria</span> <span class="hps">que possibilite esta</span> <span class="hps">geometria. </span></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Não ha que se considerar caso a
matéria seja adequadamente distribuída no pano de fundo ou se ela dá início a
geometria que produzirá a geometria modificada. Esta é a</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">idéia por trás do</span> <span class="hps">espaço-tempo</span> <span class="hps">quanto a bolha de velocidade de
dobra</span>.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">A impossibilidade
do espaço-tempo na bolha de velocidade de dobra reside no fato de que para que
o motor de dobra A seja criado e se mova a uma velocidade v > c a
distribuiçõ de matéria </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">T</span><sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> produzida deve se
mover no modo taquiônico. Veja o esquema:</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Alcubierre
apenas </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">considerou o comportamento da nave espacial dentro de A e
negligenciou a sua separação do tipo espacial a partir da geometria inicial,
mas a matéria que causa a dobra tem de ser distribuída e deve cambiar-se no que
se refere à geometria de fundo.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Ha ainda o
problema do desvio para o azul, o qual aumenta com a velocidade da partícula,
causando altíssimas energias que seriam muito danosas á tripulação da nave,
principalmnete no que consiste à região onde as partículas são ultrapassadas
pela velocidade superluminal. Essa questão implicaria em adicionar-se a nave
escudos protetores de radiação, de mod a propiciar uma viagem sem danos à
tripulação.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">O trabalho “</span><a href="http://arxiv.org/pdf/gr-qc/9906050.pdf"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">On the (im)possibility of warp bubbles</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">”, trata da improbabilidade de bolhas superluminais, mas afirma serem as
subluminais possíveis.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Quanto ás velocidades superluminais, o problema
da matéria taquiônica se refere ao caso que tal matéria exótica não é capaz de
manter-se com o restante da bolha. Ou seja, caso se tente manter a bolha de
dobra em velocidade superluminal, o exterior dessa bolha será deixado para trás
e o efeito de dobra será aniquilado.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">O problema em questão poderá ser contornado caso
a distribuição de matéria exótica se expanda da parte traseira da nave, pra
trás, tornando o problema compatível com as desigualdades quânticas - QI e com a
conjectura de interesse quântico – QCI.</span></div>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">A conjectura QIC</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">(</span>a conjectura de <span class="hps">interesse</span>
<span class="hps">quântico</span>) afirma que <span class="hps">um pulso de</span> <span class="hps">energia positiva</span> alto <span class="hps">deve</span> <span class="hps">compensar</span> <span class="hps">o pulso de energia</span> <span class="hps">negativa em</span> <span class="hps">uma quantidade</span> <span class="hps">que é uma função</span> <span class="hps">monotônica</span> <span class="hps">crescente da</span> <span class="hps">separação</span> <span class="hps">de
pulso.</span></span></div>
<br />
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<br /></div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-14336125425943766002013-12-26T12:13:00.003-02:002013-12-26T12:13:59.474-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.10<div style="text-align: center;">
<b>Objeções à velocidade de dobra:</b></div>
<div style="text-align: center;">
<b><br /></b></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">No que se
refere às CTCs e as viagens no tempo, o trabalho “</span><a href="http://arxiv.org/pdf/astro-ph/9712344v1.pdf"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Can Universe
create itself</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">” e “</span><a href="http://arxiv-web3.library.cornell.edu/pdf/1311.2379v1.pdf"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Creation of
entangled Universes avoids the Big Bang singularity</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">”, demonstram
que universos bebês, assim como universos cujas dimensões são as dimensões de
Planck são interconectados por CTCs, enquanto macrouniversos não o são,
conforme demonstra o esquema abaixo:</span></div>
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">No entanto,</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">universos bebês</span> <span class="hps">iriam
aparecer</span> <span class="hps">como</span> <span class="hps">flutuações quânticas
do</span> <span class="hps">vácuo</span> <span class="hps">gravitacional</span> <span class="hps">dos universos</span> <span class="hps">macroscópicos.</span> <span class="hps">Esses universos</span> <span class="hps">bebês</span> <span class="hps">recém-</span>criados
estão <span class="hps">na região da</span> <span class="hps">escala de Planck</span>,
onde as <span class="hps">CTCs</span> <span class="hps">são permitidas e</span>,
por isso, <span class="hps">alguns deles podem</span> <span class="hps">ser unidos</span>
<span class="hps">por meio de uma</span> <span class="hps">CTC</span> <span class="hps">para o universo bebê</span> <span class="hps">a partir do qual</span> <span class="hps">o universo</span> <span class="hps">macroscópico</span> <span class="hps">desponta.</span></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">O universo</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">é, portanto,</span> <span class="hps">a
sua própria</span> <span class="hps">mãe</span> <span class="hps">e</span> <span class="hps">o multiverso</span> <span class="hps">auto-</span>gerado <span class="hps">fechado</span> <span class="hps">correspondente</span> <span class="hps">torna-se</span>
<span class="hps">então</span> <span class="hps">um conjunto</span> <span class="hps">multiplamente conectado</span> <span class="hps">das regiões</span> <span class="hps">do espaço-tempo</span> <span class="hps">a serem</span> <span class="hps">criadas a partir de</span> <span class="hps">si mesmas,</span> <span class="hps">onde</span> <span class="hps">termos como</span> <span class="hps">antes
ou</span> <span class="hps">depois,</span> <span class="hps">inicial ou final</span>
<span class="hps">perdem seu significado</span> <span class="hps">absoluto</span> <span class="hps">ou seja</span>, que seria <span class="hps">restrito apenas para</span>
<span class="hps">a região local</span> <span class="hps">do espaço-tempo</span> <span class="hps">de quem ou de que nela se encontrar</span>. Assim, a causalidade se
encontr quebrada devido à CTC.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Todavia esta causalidade não pode ser quebrada na bolha
de velocidade de dobra, o que, em tese, anula a possibilidade de se utilizar
matéria exótica a fim de gerar nossa bolha.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Ainda ha o
problema da matéria taquiônica, a qual parece ser a matéria exótica de modo a
proporcionar a velocidade de dobra.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">De acordo com o
trabalho “</span><a href="http://www.if.ufrj.br/~mbr/warp/etc/cqg15_2523.pdf"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">No warp drive</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">”, é sabido que
a equação de einstein pode ser executada em qualquer direção. Esta equação é
dada por:</span></div>
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<br /></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><img alt="" 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g==" /> </span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Sendo:</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
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<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">T</span></b><b style="mso-bidi-font-weight: normal;"><sub><span lang="EN-US" style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub></b><b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> – tensor de energia-momento dado por:</span></b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">e </span></div>
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<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">G</span></b><b style="mso-bidi-font-weight: normal;"><sub><span lang="EN-US" style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub></b><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span></b><b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">– tensor de Einstein, que é simétrico, dado por:</span></b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Onde
R é o tensor de Ricci e g o tensor métrico e <i style="mso-bidi-font-style: normal;">R</i> a curvatura escalar. Na forma de componentes a equação se torna:</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">O
tensor métrico do espaço tempo na TRG, g</span><sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">, é dado por:</span></div>
<br />
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<br /></div>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Ao se tomar uma fonte razoável
de matéria, é esta a estrutura geométrica que encontramos para </span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">G</span><sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">μν</span></sub><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Fontes
extremas de matéria como aquelas relacionadas à matéria exótica, violam as
condições de energia, no que se refere às condições forte, fraca e dominante.
As condições de energia são formuladas em termos te vetores tipo tempo, o que
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-36808651953907768562013-12-26T12:08:00.000-02:002013-12-26T12:08:00.559-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.9<div style="text-align: center;">
<b>Objeções à velocidade de dobra:</b></div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Os problemas das CTCs são os seguintes:</span></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">A CTC abre a
possibilidade de uma linha universal que não está conectada a tempos passados. <span style="mso-spacerun: yes;"> </span>Por isso, há ocorrência de acontecimentos que
não podem ser rastreados para uma causa anterior. Normalmente, a causalidade
exige que cada evento no espaço-tempo seja precedido por sua causa em cada um
dos quadros finais.</span></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Este princípio
é fundamental para o determinismo , o que na linguagem da relatividade geral estatui
o conhecimento completo do universo em uma superfície de tipo espaço Cauchy que
pode ser usada para calcular o estado completo do resto do espaço-tempo.</span></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">No entanto,
numa CTC, a causalidade se quebra, porque um evento pode ser "simultaneo"
com a sua causa. Em certo sentido, um evento pode ser capaz de fazer com que se
cause a <span style="mso-spacerun: yes;"> </span>si mesmo. É impossível
determinar com base apenas no conhecimento do passado se algo existe ou não na CTC,
que possa interferir com outros objetos no espaço-tempo.</span></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Por
conseguinte, uma CTC resulta num horizonte de Cauchy, que é uma região de
espaço-tempo que não pode ser prevista a partir de um conhecimento perfeito de
um tempo passado.</span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Este estado
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-8801984188392732692013-12-26T12:05:00.001-02:002013-12-26T12:05:08.448-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.8<div style="text-align: center;">
<b>Objeções à velocidade de dobra:</b></div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
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<style>
/* Style Definitions */
table.MsoNormalTable
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mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
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mso-para-margin-left:0cm;
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">A condição de energia fraca média consiste na
ideia de que, em cada campo vetorial de tempo, a densidade de matéria observada
jamais será negativa, isto é:</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Caso seja violada a condição de energia fraca
média, o horizonte de Cauchy se estabiliza, sendo que o horizonte de
espaço-tempo passa a atuar como uma lente divergente. Assim, poderá ocorrer a
densidade de matéria negativa e a radiação de Hawking perderia seu efeito
dentro da bolha.</span></div>
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<br /></div>
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<span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">E</span></span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">studos recentes, realizados por</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">
J. Macher and R. Parentani, intitulado “</span><a href="http://arxiv.org/pdf/0903.2224v3.pdf"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Black/White hole
radiation from dispersive theories</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">”, </span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">parecem sugerir que</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">as divergências</span> <span class="hps">assintóticas</span>
<span class="hps">acima</span> <span class="hps">encontradas</span> <span class="hps">do</span> <span class="hps">RSET</span> <span class="hps">no horizonte</span>
<span class="hps">branco</span> <span class="hps">podem</span> <span class="hps">desaparecer
se</span> a simetria de <span class="hps">Lorentz</span> <span class="hps">for
quebrada</span> <span class="hps">em altas</span> <span class="hps">energias.</span></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Em física, a </span><a href="http://cerncourier.com/cws/article/cern/29224"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">simetria de
Lorentz</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> é a característica da natureza que diz que os resultados
experimentais são independentes da orientação ou do aumento da velocidade do
laboratório através do espaço sendo que esta ideia tem resistido desde que
Einstein propôs a TRG.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">Espera-se</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">que o</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">RSET</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">adquira</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">grandes valores</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">logo após a formação do</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">horizonte</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">. Não se sabe </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">se isso seria</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">suficiente para impedir a manutenção
da sustentabilidade do</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";">sistema
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analógicos de gravidade (ver </span><a href="http://relativity.livingreviews.org/Articles/lrr-2005-12/download/lrr-2005-12Color.pdf"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">aqui</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">).</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Ainda que se queira produzir uma bolha que
viagem a velocidade subluminal, embora os horizontes branco e negro não se
formem, o que evita a radiação de Hawking, haveria a necessidade de matéria
exótica para que a bolha fosse criada (a ser explicado mais adiante).</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">O trabalho “</span><a href="http://arxiv.org/pdf/1202.5708v1.pdf"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">The Alcubierre warp drive: On the matter of matter</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">” aponta a problemática da metodologia
desenvolvida por Alcubierre, no que consiste ao tensor de energia-momento de
tensão ser negativo para todos os observadores, mesmo quando operado a baixas velocidades.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Isso implica em que se requer densidade de
energia negativa, o que somente pode ser atingida pela utilização de matéria
exótica, o que viola as condições de energia, o que permite a criação de curvas
fechadas tipo temporais - CTC e, consequentemente, a questão envolve todos os
problemas que essas curvas apresentam.</span></div>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Em</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">física matemática</span>, <span class="hps">uma <a href="http://www.its.caltech.edu/~kip/scripts/ClosedTimelikeCurves-II121.pdf">curva
tipo tempo fechada (CTC)</a></span> (ler </span><a href="http://en.wikipedia.org/wiki/Closed_timelike_curve"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">aqui</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">) <span class="hps">é uma linha universal</span> situada numa<span class="hps"> variedade</span>
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<span class="hps">no espaço-tempo,</span> <span class="hps">que</span> <span class="hps">é "</span>fechada", <span class="hps">e sempre retorna ao seu</span>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Caso as</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">CTCs</span>, existam, isso <span class="hps">parece implicar</span> <span class="hps">a possibilidade teórica</span>
<span class="hps">de viajar no tempo</span> <span class="hps">para trás</span>,
aumentando <span class="hps">o espectro do</span> <span class="hps">paradoxo do avô</span>,
embora o <span class="hps"><a href="http://en.wikipedia.org/wiki/Novikov_self-consistency_principle">princípio
de auto-consistência de Novikov</a></span> <span class="hps">parece mostrar que</span>
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" 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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><br /></span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><br /></span></div>
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<w:PunctuationKerning/>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">O Princípio de Novikov <span class="hps">é um
princípio</span> utilizado <span class="hps">para resolver o problema</span> <span class="hps">de paradoxos</span> <span class="hps">em</span> <span class="hps">viagens
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Dito de</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">forma simples,</span> <span class="hps">o
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<span class="hps">afirma que: “Se</span> <span class="hps">existe</span> <span class="hps">um evento</span> <span class="hps">que</span> <span class="hps">daria
origem a</span> <span class="hps">um paradoxo,</span> <span class="hps">ou a
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-33555969641892770532013-12-26T12:02:00.001-02:002013-12-26T12:02:09.575-02:00 O UNIVERSO DOS TÁQUIONS - Parte 12.7<!--[if gte mso 9]><xml>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Objeções a velocidade de dobra:</span></b></div>
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<br /></div>
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</span></b><span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"></span></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">De fato, é esperado um estado similar ao de
Unruh, em vez de um estado sim-lar de Boulware, a fim de descrever um estado
quântico que caracterize a criação de uma bolha de velocidade de dobra superluminal.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">O trabalho conclui que um fluxo de radiação de
Hawking será observado internamente à bolha de velocidade de dobra, inda que
afastado do horizonte negro, onde esta radiação é produzida e, a partir de onde
ela viaja diretamente para o interior da bolha à velocidade da luz.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">A região central do motor de dobra comporta-se
como uma região assintótica de buraco negro. Ou seja, em ambas as regiões, a
contribuição estática para a densidade de energia desaparece, de modo que a
densidade de energia total é devida exclusivamente à radiação de Hawking gerada
no horizonte negro.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Um motor de dobra não só constitui um horizonte
negro, mas também constitui um horizonte branco, sendo ambos fontes diretas de
radiação.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Desta formaconsidera-s que o RSET não diverge nos
horizontes em qualquer tempo finito.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;"><span style="mso-spacerun: yes;"> </span>O
comportamento singular dos termos estáticos (ou termos de polarização vácuo) para
o RSET, no que se refere aos horizontes, é cancelado pelas principais contribuições
dos termos diretos dinâmicos, ou, em outras palavras, o que é equivalente a
presença de radiação de Hawking em ambos os horizontes.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">A formação do horizonte branco é também
associada a um termo secundário semelhante, mas, desta vez, se acumula no
próprio horizonte branco.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;"><span style="mso-spacerun: yes;"> </span>Isso faz
com que a densidade de energia vista por um observador em queda livre cresça
sem limites em função do tempo neste horizonte. </span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">A reação semiclássica do RSET fará com que o
motor de dobra superluminal se torne rapidamente instável, em uma escala de
tempo da ordem de 1/κ<sub>2</sub>, o inverso da gravidade na superfície do
horizonte branco, sendo κ ≥ 10<sup>-2</sup>*t<sub>p</sub><sup>-1</sup>, onde t<sub>p</sub>
é o tempo de Planck, o que quer dizer que a escala de tempo em que a reação de
retorno do RSET se torna importante quando 1/κ = 10<sup>2</sup>*t<sub>p</sub>,
o que leva a um resultado de uma parede de bolha com<span style="mso-spacerun: yes;"> </span>3* 10<sup>8</sup> m de espessura.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Ainda há o problema da radiação de Hawking para
as bolhas superluminais e a instabilidade semi-clássica que provavelmente
previne a formação de horizontes de Cauchy para tempos mais tardios. </span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Em física, um horizonte de Cauchy é uma
fronteira de intervalo de luz que apresenta domínio de validade de um problema
de Cauchy (um problema particular do valor limite da teoria das equações
diferenciais parciais).</span></div>
<br />
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<br /></div>
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-57724154437816708572013-12-26T11:59:00.001-02:002013-12-26T11:59:07.855-02:00 O UNIVERSO DOS TÁQUIONS - Parte 12.6<div style="text-align: center;">
<br /></div>
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</span></b><span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR; mso-fareast-theme-font: minor-fareast;"></span></span><br />
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<span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">As
distribuições de densidade de energia negativa compreendem o que é muitas vezes</span><span class="hps"><span style="mso-ansi-language: PT;"> </span></span><span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">referido
como matéria exótica. Estas distribuições permitem várias possibilidades
intrigantes: por exemplo, a potencialidade da velocidade de dobra de Alcubierre
ser mais rápida do que a velocidade da luz em viagens espaciais.</span></div>
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<span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Desigualdades
Quânticas restringem a extensão e a magnitude do espaço-tempo no tocante a
densidades de energia negativas. No caso do motor de dobra de Alcubierre, as
desigualdades quântica preveem que a quantidade de matéria exótica necessária
para criar e manter a velocidade de dobra "bolha" excede em muito a
massa-energia total do universo.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Com isso,
a violação das condições de energia teria de ser confinadas a regiões com
comprimento de Planck gerando a espessura da parede da bolha dada como Δ, que
para estar de acordo com o comprimento de Planck, Δ ≤ 10<sup>2</sup> (v<sub>0</sub>/c)
L<sub>P</sub>, onde L<sub>P</sub> = comprimento de Planck.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Pode-se
demonstrar que paredes finíssimas, a fim de suportarem uma bolha de velocidade
de dobra, requereriam quantidades de matéria exótica enormes, e.g. uma bolha
com 100 m e propagando-se com v<sub>0</sub></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: CMSY10;">≈</span><span style="font-family: CMSY10; font-size: 10.0pt; line-height: 115%; mso-bidi-font-family: CMSY10; mso-hansi-font-family: CMR10;"> </span><span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">c,
requereria uma energia negativa total da ordem de 10<sup>11</sup> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">M</span><sub><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";">⊙</span></sub><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;"> (</span><span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">massas
solares</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;">). </span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;">Ainda que reduzida a
</span><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";">á</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;">rea das bolhas, o
que demandaria energias da ordem de 0,3</span><span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">M</span><sub><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";">⊙</span></sub><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;">, para uma bolha de
100 m de raio, </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">há</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;"> que se adicionar
uma energia positiva externamente a bolha de </span><span style="color: black; font-family: Lustria; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">2,5 </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">M</span><sub><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";">⊙</span></sub><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim; mso-hansi-font-family: Gulim;">, isto ainda </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">está fora da realidade.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Ao se impor um estado quântico de vácuo de
Boulware (estado que descreve efeitos quânticos nos buracos negros) ao
espaço-tempo, análogo a um estado de buraco negro eterno, o vetor renormalizado
de tensão e energia (RSET), diverge nos horizontes.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Esta circunstância independente da
disponibilidade de matéria exótica pra construir a bolha de velocidade de
dobra, implica em dizer que esta divergência impossibilita gerar geometria da
bolha de velocidade de dobra, a qual, se superluminal, seria aniquilada por
efeitos semi-clássicos da TRG. Mas a bolha de velocidade de dobra poderia ser
criada a velocidades subluminais e então acelerada até velocidades
superluminais.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Pode-se esperar então que o estado quântico
globalmente definido em tal geometria dinâmica automaticamente seria
selecionado pela dinâmica uma vez que sejam fornecidas as condições adequadas
de fronteira (e.g. no início do tempo).</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Isto é sem dúvida um caso de colapso
gravitacional, o qual pode ser demonstrado sempre que um horizonte de
aprisionamento se forma, sendo que este estado quântico é globalmente definido
como sendo um vácuo, em ζ<sub>-</sub> e tem de ser térmico em ζ<sub>+</sub>, na
temperatura de Hawking e regular no horizonte.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Em outros termos, a dinâmica do colapso evita a
seleção de estados semelhantes ao de Boulware com sua divergência associada no
horizonte, terminando em vez de selecionar o estado análogo para configurações
colapsantes do estado de vácuo Unruh definido sobre buracos negros eternos, o
que leva a um RSET perfeitamente regular.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Gulim;">Logo, pergunta-se: É a dinâmica da criação de
uma bolha de velocidade de dobra, com a sua seleção associada do estado de
vácuo global, capazes de evitar a presença de divergências na RSET ?</span></div>
<br /><br />
<br /><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR; mso-fareast-theme-font: minor-fareast;"></span></b>Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-36113374017408408392013-12-26T11:55:00.003-02:002013-12-26T11:55:31.414-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.5<br />
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">4 – Objeções a velocidade de dobra:</span></b></div>
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<br /></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">De acordo com pesquisadores como Stefano Finazzi et al, no
trabalho intitulado “</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://arxiv.org/pdf/0904.0141v2.pdf">Semiclassical instability of
dynamical warp drives</a><span style="color: black;">”, a radiação de Hawking
cozinharia tudo o que estivesse dentro da bolha teórica utilizada para a
velocidade de dobra, se deslocando pelo continuum do espaço-tempo.</span></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">O
observador dentro da bolha de dobra experimentaria um fluxo térmico de
partículas de Hawking cuja radiação se associa à radiação de energia e, por
conseguinte, à perda de massa resultante da evaporação de buracos negros. A
radiação de Hawking seria gerada e se irradiaria a altíssimas temperaturas nos
tripulantes da nave viajando dentro da bolha de dobra.</span></div>
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A radiação de Hawking seria gerada como horizontes, tanto atrás
quando na frente da bolha possivelmente a 10<sup>30</sup> K sendo a máxima
temperatura possível conhecida como Temperatura de Planck cujo valor é de 10<sup>32</sup>K. </span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Isso desestabilizaria a bolha de dobra em nível quântico, pois o
tensor renormalizado de tensão e energia – RSET cresceria, na frente da bolha,
de modo exponencial, em função do tempo. Isso criaria um buraco negro que
desastabilizaria a geometria da bolha de dobra.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">O Tensor de Energia e tensão - SET é um tensor quantitativo que
descreve a densidade e o fluxo de energia e o momento no espaço-temposendo uma
generalização do tensor das tensões de Newton. É um atributo da matéria,
radiação e campos de forças não gravitacionais. O tensor de energia de tensão é
a fonte de campos gravitacionais nas equações de campo de Einstein referentes a
TRG, assim como a massa é a fonte dos campos na gravitação de Newton. (Ver </span><a href="http://merlin.fic.uni.lodz.pl/concepts/2005_3_4/2005_3_4_295.pdf"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> e </span><a href="http://en.wikipedia.org/wiki/Stress%E2%80%93energy_tensor"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">). Suas contravariantes são dadas conforme abaixo:</span></div>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Um dos problemas</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">centrais da</span> <span class="hps">teoria
quântica de campos</span> <span class="hps">em</span> <span class="hps">espaços-tempos</span>
<span class="hps">curvos</span> <span class="hps">é</span> <span class="hps">o
cálculo do</span> <span class="hps">tensor</span> <span class="hps">energia
renormalizado (</span>RSET) dos <span class="hps">campos de matéria</span>.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">O</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">RSET</span> <span class="hps">é</span> <span class="hps">então o ponto</span> <span class="hps">de partida para qualquer cálculo</span>
<span class="hps">em</span> <span class="hps">gravitação semiclássica</span>. O e<span class="hps">spaço-tempo</span> <span class="hps">é mantido</span> <span class="hps">como
uma entidade</span> <span class="hps">clássica</span>, enquanto o <span class="hps">tensor</span> <span class="hps">de tensão-</span>energia <span class="hps">clássica</span> <span class="hps">das fontes</span> <span class="hps">da
matéria</span> <span class="hps">é complementado com a</span> <span class="hps">RSET</span>
<span class="hps">dos campos</span> <span class="hps">quânticos em</span> <span class="hps">um</span> <span class="hps">estado de vácuo</span> <span class="hps">adequado.
(Ver </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://arxiv.org/pdf/1112.0489.pdf"><span lang="PT" style="mso-ansi-language: PT;">aqui</span></a></span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> e </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><a href="http://arxiv.org/pdf/hep-th/0605107v2.pdf"><span lang="PT" style="mso-ansi-language: PT;">aqui</span></a></span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">)</span></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Inicialmente, a geometria da velocidade de dobra é dada por:</span></div>
<br />
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<br /></div>
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<br /></div>
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" /></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Onde r é a distância do centro da bolha dada por:</span> </span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span><img alt="" 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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-22988888186542581122013-12-24T23:39:00.001-02:002013-12-24T23:49:55.411-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.4 <div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span lang="PT" style="mso-ansi-language: PT;">3 - A dobra de Alcubierre - PARTE 2:</span></b></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">A partir da
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<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">É dado que a
geometria tridimensional das hipersuperfícies é sempre plana.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Sendo </span><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman";">α</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> = 1, implica que as curvas temporais normais a essas
superfícies são <a href="http://en.wikipedia.org/wiki/Geodesic">geodésicas</a>.<span style="mso-spacerun: yes;"> </span>Ou seja, observadores Eulerianos estão em
queda livre.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Todavia, o espaço-tempo não é plano devido a preseca de
um desvio não uniforme. Apesar de tudo, desde que o vetor de desvio esvaneça,
para r<sub>s</sub>>>R, para qualquer tempo t o espaço-tempo será
essencialmente plano em todos os lugares, exceto para regiões com raio de ordem
R com centro no ponto (x<sub>s</sub>(t), 0,0).</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">A divisão 3+1 corresponde ao "corte" do
espaço-tempo em uma série de hipersuperfícies espaciais, cada uma rotulada por
um τ que representa acoordenada tempo. </span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Os diferentes procedimentos de divisão são mais
facilmente visualizadas com uma dimensão espacial suprimido usando um diagrama
de um espaço-tempo 2, com o tempo correspondente ao eixo vertical. As
hipersuperfícies espaciais são então fatias horizontais através do
espaço-tempo. </span></div>
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<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">O espaço-tempo é descrito por observadores Eulerianos
sentados nessas hipersuperfícies com coordenadas espaciais constantes.
Consultar </span><a href="http://ned.ipac.caltech.edu/level5/March02/Bertschinger/Bert4_9.html"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">aqui</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> para maiores
detalhes.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Dado que a 3 – geometria das
hipersuperfícies é plana, a informação sobre a curvatura do espaço-tempo está
contida no tensor de curvatura extrínseco K<sub>ij</sub>, que descreve como as
superfícies tridimensionais estão embutidas no espaço-tempo tetradimensional. O
tensor<span style="mso-spacerun: yes;"> </span>K<sub>ij</sub> é definido como:</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><img alt="" 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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Onde:</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">D<sub>i</sub>
= diferenciação covariante relativa á métrica tridimensional γ<sub>ij</sub>. A
partir das formas </span><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";">α</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">
e γ<sub>ij</sub>, a expressão acima se reduz a:</span></div>
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<br /></div>
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--></span></div>
<br />
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
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UnhideWhenUsed="false" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
</w:LatentStyles>
</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Tabela normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-qformat:yes;
mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:10.0pt;
mso-para-margin-left:0cm;
line-height:115%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;}
</style>
<![endif]--><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Sendo a expressão esta dada por:</span>
</div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><br /></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
</div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
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<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><br /></span></div>
<div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 5.0pt; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph; vertical-align: top;">
<br />
<!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><span style="mso-spacerun: yes;"> </span><span lang="PT">A
figura abaixo representa o gráfico de </span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: Gulim;">θ como uma função de x e de ρ = (y<sup>2</sup> + z<sup>2</sup>)<sup>1/2</sup>,
no caso particular de: θ = 8 e R = v<sub>s</sub> = 1.</span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">O centro da perturbação é a posição da nave espacial em x<sub>s</sub>(t),
onde claramente se pode ver que os elementos de volume se expandem atrás da
nave e se contraem na sua frente.</span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">De modo a provar que a trajetória da nave é na verdade
uma curva de espaço tempo independentemente do valor de v<sub>s</sub>(t) há que
se substituir x = x<sub>s</sub>(t) na métrica abaixo: </span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Assim, para a trajetoria da nave, tem-se:</span></div>
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<br /></div>
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<span style="color: red;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">dτ = dt</span></b></span></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Isso implica não somente que a nave se move sobre uma
curva temporal, mas também que seu tempo adequado é igual de modo a coordenar o
tempo. Logo, o tempo coordenado é igual ao tempo apropriado de observadores
distantes das regiões planas, o que permite concluir que os a nave não sofrerá
os efeitos da dilatação do tempo, enquanto se move, o que prova o movimento da
nave em uma geodésica.</span></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Assim, o tempo adequado dos observadores eulerianos e dos
viajandes dentro da bolha será o mesmo, o que quer dizer que nenhuma
experiencia de dilatação temporal será registrada para ambos os observadores.</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Isso significa que apesar de a coordenada de aceleração
poder ser uma função arbitrária do tempo, a aceleração adequada ao longo do
caminho da nave espacial será sempre nula.</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Além disso, não é difícil de perceber que se </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: Gulim;">θ</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> for grande, as forças de maré na vizinhança imediata da
nave são muito pequenas, desde que R seja maior que o tamanho da nave espacial.
Claro que na região onde r<sub>s</sub> </span><span style="font-family: "Gulim","sans-serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman";">∼</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">R, as forças e maré serão realmente grandes.</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Por
exemplo, dadas duas estrelas A e B separadas pela distância d em um
espaço-tempo plano. No tempo t<sub>0</sub>, a nave começa a se mover da A para
B com velocidade v < 1.</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">A
nave então pára à distância “d” de A, sendo que R << d << D.</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">No ponto de distãncia dada por “d”, a nave é puxada de a
com uma cordenada de acelerção que rapidamente muda de 0 para um valor
constante “a”. Desde que a nave parata do repouso (v<sub>s</sub> = 0) a
perturbação causada desenvolverá uma suavidade a partir do espaço tempo plano
conforme a equação dada por:</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" 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<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
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<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
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<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
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<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
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<w:LsdException Locked="false" Priority="59" SemiHidden="false"
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<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
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UnhideWhenUsed="false" Name="Light Grid"/>
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UnhideWhenUsed="false" Name="Medium List 2"/>
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UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
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UnhideWhenUsed="false" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List"/>
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UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
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UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" SemiHidden="false"
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<w:LsdException Locked="false" Priority="70" SemiHidden="false"
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<w:LsdException Locked="false" Priority="71" SemiHidden="false"
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<w:LsdException Locked="false" Priority="60" SemiHidden="false"
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<w:LsdException Locked="false" Priority="61" SemiHidden="false"
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<w:LsdException Locked="false" Priority="62" SemiHidden="false"
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<w:LsdException Locked="false" Priority="63" SemiHidden="false"
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<w:LsdException Locked="false" Priority="64" SemiHidden="false"
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<w:LsdException Locked="false" Priority="65" SemiHidden="false"
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<w:LsdException Locked="false" Priority="67" SemiHidden="false"
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<w:LsdException Locked="false" Priority="70" SemiHidden="false"
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<w:LsdException Locked="false" Priority="60" SemiHidden="false"
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UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
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UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
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UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
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UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
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</xml><![endif]--><!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Tabela normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-priority:99;
mso-style-qformat:yes;
mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:10.0pt;
mso-para-margin-left:0cm;
line-height:115%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
mso-bidi-font-family:"Times New Roman";
mso-bidi-theme-font:minor-bidi;}
</style>
<![endif]-->
</span></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Dado que ambas as estrelas se situam no espaço plano, seu
tempo adequado é igual ao tempo coordenado. O tempo adequado medido na nave
será dado por:</span></div>
<br />
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
</div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
</div>
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<br />
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
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UnhideWhenUsed="false" Name="Light Grid"/>
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<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
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<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Sendo:</span></div>
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<span lang="PT" style="mso-ansi-language: PT;"><span style="color: red;"><b><span style="mso-spacerun: yes;"> </span>γ= (1- v<sup>2</sup>)<sup>-1/2</sup></b></span>.</span></div>
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<br /></div>
<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Posto isso, o tempo de dilatação surge apenas no estágio inicial e final da
viagem quando a nave se move no espaço-tempo plano. Assim caso a condição </span>R
<< d << D se verifique, tem-se:</div>
<br />
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<br /></div>
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<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Com isso T será cada vez menor à medida que “a” aumente. Uma vez que a
viagem de ida e volta demora o dobro do tempo, pode-se retornar à estrela A
após um pequeno e adequado tempo arbitrário, considerando-se o ponto de vista
tando da nave quando da estrela.</span></div>
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<br /></div>
<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">A nave estão será capaz de viajar mais rápido que a velocidade da luz.
Entretanto a nave permanecerá sempre em uma trajetória temporal dentro de seu
cone de luz, sendo qua própria luz está sendo empurrada pela distorção do
espaço-tempo. O mecanismo de propulsão para que tal evento ocorra é a
velocidade de dobra.</span></div>
<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Essa energia, noentanto, possui as seguintes desvantagens: viola as três
condições de energia: fraca, dominante e forte. Tanto a condição de energia
fraca como a domiante requerem que a densidade de energia seja positiva para
todos os observadores. </span></div>
<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Em se procedendo o cáculo do tensor de einstein dado na métrica abaixo: </span></div>
<br />
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">E, usando-se o
fato de que a velocidade tetradimensional dos observadores eulerianos é dada
por:</span></div>
<br />
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<br />
<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
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LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
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<w:LsdException Locked="false" Priority="61" SemiHidden="false"
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<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
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<w:LsdException Locked="false" Priority="67" SemiHidden="false"
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<w:LsdException Locked="false" Priority="68" SemiHidden="false"
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<w:LsdException Locked="false" Priority="72" SemiHidden="false"
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<w:LsdException Locked="false" Priority="60" SemiHidden="false"
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<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
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<w:LsdException Locked="false" Priority="64" SemiHidden="false"
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<w:LsdException Locked="false" Priority="65" SemiHidden="false"
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<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
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<w:LsdException Locked="false" Priority="30" SemiHidden="false"
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Isso leva a que
os observadores verão uma densidade de energia dada por:</span></div>
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="background: white; line-height: normal; mso-background-themecolor: background1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
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UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
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UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
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UnhideWhenUsed="false" Name="Light List"/>
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UnhideWhenUsed="false" Name="Light Grid"/>
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UnhideWhenUsed="false" Name="Medium Shading 1"/>
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UnhideWhenUsed="false" Name="Medium List 1"/>
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UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
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<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
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<w:LsdException Locked="false" Priority="64" SemiHidden="false"
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<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" SemiHidden="false"
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<w:LsdException Locked="false" Priority="71" SemiHidden="false"
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<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
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<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Essa expressão é
negativa em todos os seus pontos, o que implica em dizer que as condições para
a energia fraca e dominante são violadas, o que também leva à violação da
energia forte.</span></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Assim, para
Alcubierre, de forma a se proceder uma viagem maior que a velocidade da luz,
assim como ocorre com os wormholes, há a necessidade de que se tenha matéria
exótica, ignorada e proibida na física clássica.</span></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Ao se valer de
matéria normal para proceder a viagem de dobra, os cálculos demonstraram que é
possível de acontecer a velocidade de dobra, porém havendo as seguintes
objeções: </span></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<b><span style="color: blue;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">- O nível de
energia necessário para tal seria equivalente á massa do planeta Júpiter,
convertida totalmente em energia. </span></span></b></div>
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<br /></div>
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</span></b><br />
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<b><span style="color: blue;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">- Para o motor
de dobra funcionar, deverá produzir densidade de energia negativa, o que não se
sabe se pode ser produzida em grandes quantidades, embora para quantidades
mínimas isso já tenha ocorrido.</span></span></b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Por essa razão
Alcubierre cita a “matéria exótica”.</span></div>
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<br /></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Mas a teoria de
campos quânticos permite a existência de regiões com densidades negativas de
energia, como, por exemplo, no efeito Casimir (ver </span><a href="http://www.scientificamerican.com/article.cfm?id=what-is-the-casimir-effec"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">
e </span><a href="http://en.wikipedia.org/wiki/Casimir_effect"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">aqui</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">),
causado pelo fato do espaço vazio ter </span><a href="http://pt.wikipedia.org/wiki/V%C3%A1cuo" title="Vácuo"><span style="color: windowtext; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; text-decoration: none; text-underline: none;">flutuações do vácuo</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">,
pares de </span><a href="http://pt.wikipedia.org/wiki/Part%C3%ADculas_elementares" title="Partículas elementares"><span style="color: windowtext; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; text-decoration: none; text-underline: none;">partículas virtuais - antipartículas virtuais</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">
que continuamente se formam do </span><a href="http://pt.wikipedia.org/wiki/V%C3%A1cuo" title="Vácuo"><span style="color: windowtext; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; text-decoration: none; text-underline: none;">vácuo</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">
e retornam ao vácuo um instante depois.</span></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="background: white; mso-background-themecolor: background1; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Alcubierre anda
comenta que apesar de a métrica por ele utilizada ser hiperbólica e assim
conter curvas não casualmente fechadas, é possível e não muito difícil de se
construir um espaço-tempo que contenha essas curvas usando-se uma idéia similar
a por ele apresentada.</span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 5.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 5.0pt; mso-layout-grid-align: none; text-align: justify; text-autospace: none; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Em 2012, Sonny White revelou um
novo projeto para um propulsor de Alcubierre, que reduz a necessidade de
energia da massa-energia total de um planeta do tamanho de Júpiter, para a
massa-energia da Voyager-1 (700 kg). </span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br /></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">De acordo com a pesquisa
preliminar da NASA, os requisitos de energia parecem ser um pouco viáveis se a
unidade é em forma de anel (como a imagem no início do artigo) em vez de um
disco plano.</span></div>
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<![endif]--><span style="color: #333333; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Com os avanços recentes em física teórica,
especialmente trazidos pela Teoria-M (teoria esta que realiza permutações na
teoria das cordas), os pesquisadores Dr. Gerald Cleaver e o Dr. Richard Obousy calcularam
como a velocidade de dobra poderia funcionar sob as condições da Teoria-M, o
que apresentou bons resultados.</span></div>
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<span style="color: #333333;">De acordo com os pesquisadores, sendo que a Teoria-M
demonstra ter o espaço-tempo 11 dimensões, o segredo da velocidade de dobra se
encontra na 11ª dimensão, de modo a criar-se energia escura.</span></div>
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<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: #333333;">A energia escura criada na 11ª dimensão da teoria-M é que
causaria a necessária expansão do continuum de espaço-tempo necessária a
propelir uma nave espacial á velocidade de dobra.</span></div>
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<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: #333333;">Dessa forma, não seria requerida qualquer matéria
exótica, mas energia de 100 kg de antimatéria que produziria 10<sup>19</sup>J
de energia para dobrar o espaço ao longo da nave, dentro das dimensões de um
ônibus espacial.</span></div>
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<br /></div>
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<span style="color: #333333;">Assim, de modo a dobrar o continuum de espaço-tempo,
ampliando-o e encolhendo-o, seria necessário dobrar o pequeno e curvo espaço
submetido a dimensões subatômicas que teoricamente existem na teoria das
cordas, que criam o exato continuum de espaço-tempo descrito na TRG. </span></div>
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<![endif]-->Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-67009242332447363072013-12-24T23:21:00.002-02:002013-12-24T23:22:38.982-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.3<div style="text-align: center;">
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<br />
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<b style="mso-bidi-font-weight: normal;"><span lang="PT" style="mso-ansi-language: PT;">3 - A dobra de Alcubierre:</span></b></div>
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<span lang="PT" style="mso-ansi-language: PT;">Caso a nave pudesse dobrar o continuum de espaço-tempo,
expandindo a área atrás dela e contraindo a área na frente, sua tripulação
poderia evitar a velocidade da <a href="http://ciencia.hsw.uol.com.br/luz.htm"><span style="color: windowtext; text-decoration: none; text-underline: none;">luz</span></a>. </span></div>
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<span lang="PT" style="mso-ansi-language: PT;">Ao criar seu próprio campo gravitacional, a nave
poderia viajar localmente a velocidades bem baixas, evitando, os efeitos da Terceira
Lei de Newton e mantendo os relógios em sincronia com o local de lançamento e
de destino, o que burla o paradoxo dos gêmeos. </span></div>
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<span lang="PT" style="mso-ansi-language: PT;">A nave não está realmente viajando a uma
"velocidade" por si só - mais parece que está puxando seu destino em
direção a ela enquanto empurra de volta seu ponto de partida. A nave, portanto,
se deslocaria dentro de uma região conhecida como <b>bolha de dobra</b>, na
qual as características normais do tecido do espaço-tempo se manteriam
inalteradas. </span></div>
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<span lang="PT" style="mso-ansi-language: PT;"><img alt="" src="data:image/png;base64,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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;">A métrica da </span><a href="http://en.wikipedia.org/wiki/Lorentzian_manifold#Lorentzian_manifold"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;">variedade <span style="mso-bidi-font-weight: bold;">pseudo-Riemanniana</span></span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"> representada por (M,g) é uma
variedade diferenciável M, equipada com um tensor métrico não degenerado e
suave que, conforme a </span><a href="http://en.wikipedia.org/wiki/Riemannian_metric#Riemannian_metrics"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;">métrica
Riemanniana</span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"> não necesita ser positivamente definida, mas deve ser não degenerada,
sendo seu valor positivo, negativo ou nulo. A assinatura da métrica
pseudo-riemanniana é (p,q), sendo ambos “p” e “q” não negativos.</span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">De acordo com o
<a href="http://en.wikipedia.org/wiki/ADM_formalism">formalismo ADM</a> (Arnowitt,
Deser e Misner), uma formulação <a href="http://ocw.mit.edu/ans7870/18/18.013a/textbook/chapter16/section03.html">hamiltoniana</a>
da TRG, que exerce um importante papel na gravidade quantica e na relatividade
numérica (ver mais no trabalho dos mesmos autores intitulado “</span><a href="http://arxiv.org/pdf/gr-qc/0405109v1.pdf"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">The dynamics of general relativity</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">”.</span></div>
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como uma </span><a href="http://en.wikipedia.org/wiki/Foliation"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">foliação</span></a><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> do espaço de <a href="http://en.wikipedia.org/wiki/Hypersurface">hipersuperfícies</a>, com
coordenada de tempo constante dada por “t” , sendo que a métrica assume a
seguinte forma:</span></div>
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<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Onde:</span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span style="color: blue;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: Gulim; mso-no-proof: yes;">α</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"> = </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">função que dá o
intervalo de tempo adequado entre hipersuperfícies próximas;</span></span></b></div>
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<br /></div>
<b><span style="color: blue;">
</span></b><br />
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<span style="color: blue;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">β<sup>i</sup> =</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> vetor que relaciona o deslocamento espacial em diferentes
sistemas de coordenadas e hipersuperfícies;</span></b></span></div>
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<br /></div>
<span style="color: blue;">
</span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span style="color: blue;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><span style="mso-spacerun: yes;"> </span>γ<sub>ij</sub> = métrica positiva definida em
cada uma das hipersuperfícies, sendo sempre positiva para todos os valores de
t, de modo a ser uma métrica espacial, o que garante que o espaço-tempo seja
globalmente hiperbólico, pois todo o espaço descrito pelo formalismo ADM deve
ter curvas causais fechadas.</span></span></b></div>
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<br /></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">A forma
particular do estudo de Alcubierre é definida da seguinte forma:</span></div>
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<br /></div>
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" 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<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Sendo:</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><img alt="" 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cmxsrJydnZuaGgAQZDJZGIwmAcPHiQlJSFX70H5q4AK7PCIxeLNzc3NzU0owWJ7exv+GwRBPp/P4XB2dnZOfwolytGDCgwF5RhBBYaCcoygAkNBOUZQgaGgHCOowFBQjhFUYG/L4uJiZGSkgYGBPgrK/vj6+W0JBKjA3prCwkITExM/Pz8cDuePgrIXvr6+GZmZuwCACuztmJ2dxePxeXl5J10RlA8EVGBvRW5ublBQELobA8pBQQX2VhAIBHd394OsgYWCAoKowN6GtbW1uLi4xMTEk64IyofDaRCYRCJRkKcnkUhOSY9RWVmZnJwMrwUAI5VKT08lD45UKgUAYL9fHvr04OUQYrGYz+efyLojIpGIz+efyMRWqVQKbVy6xy9z4gJjs9n19fUKRjXT09M0Gu00LNgWERHh6+srX97X19fc3AzvNP1BAABAY2Nja2vrfmIQCAQvX77s7OyUWYyIz+czGIyuri75xa3m5+eLi4sjIyODg4M7OzvfW4sDAMDw8DCZTMbj8QQCYXBw8P1cF0IkEg0ODmZkZISEhMTGxspsx3XCAuNyuTk5OUlJSQr0w+FwSCQSiUQ62SVHeTwekUiUX/56ZmaGRCLl5+ef8gW9ZRgYGAgJCampqdmvOwIAoL293dvbm8FgIMvFYnFbW5u3t3dnZyeyfHt7u6ioKDMzk0KheHt7P3r0qL29/RhvAMH6+jqRSMzLyyssLHR1dbWxsZG3Mo6P8fHx1NTU4uJiMplsZWXl4+Pzpw3sT1BgUqmUTqe7uLggd4QAQRAAgKqqKhKJtLW1BZWMjY0RicScnJwTXHCzsbExKyurr68PWSgUCjMyMsLCwuT36TzNcDiciIiIpKQkmTZrYWEhKSmpo6MDeisUCktKSgICAmTmiQoEgsLCQhwOh5zhNjg4+OTJE2jR/MnJSTU1NXgz4WNFKpV2dXXp6+tDexG3t7f/8MMPWVlZ76f/BAAgNTXVzs4OMsFyc3Nv3rzZ3Nz8f984QYGNjo56eXmlp6fL/BtmZmYMDAzu3r2LXKOzrKzs4cOH/f39772a/0t8fLyPj49MVWk0mpeXFzS38kNBKpVmZ2fj8XgmkylfrqysnJmZCReur6+bmpoSiUSZG19ZWTE2Nk5KSoItzMnJyYiICOici4uLWlpavr6+b1wjVfHw+4BAvTHUxg0ODiorK6elpR1EYNDg+TAVgDqJmJgYaF3qqqoqVVXVP23NcYICKy8v33M9s6ampm+++cbGxgZpdA0ODrq5uQUFBZ3IAFooFMbHxwcGBsp0oaGhoXZ2dh+WcQgAgKWlJZFIlP/Izs5OWVm5paUF+eXY2FgnJ6euri7kN8VicVRU1LNnz+BtKKBVh8VisVgsTklJ0dHRqa2tVVyTlZWVlJSU0dHRQ96RRCLZ3t6WSCRcLhePx9+/f/+Am2OMj48nJycfZq1lEAQBAIBMrcXFRTs7u8ePH//JnDkOgUml0je2ChsbG2FhYVZWVlwuV+ZACoVy5syZ1NRUZCMkFotjYmL09PRgu/F90tXVRSQS29rakFWampqCFvTdz9u2599HztteiMFgGBkZwTu/wAeKxWITExNLS8vp6WnkeVgslpaWVk5Ojsx5RkZG7t27V1BQIFNeWVlpaGiYkpLyxqZwbGxMS0uLTqe/sc4HQSQSZWVlGRgYlJaWHtA+rK+v19DQGB8fP/zVORxOUFCQjo7Oy5cv//TBkQhse3u7paUlPT09Nzd3fn6+ubk5IyMjOzt7fn5+v0MYDIaZmRkej4f/DTwej0ajhYSEaGpqfvrppzY2NhkZGchtRIqKin777bf9GicAAPh8/s6beLcOMCUlxcvLS0bb2dnZGhoa8IqIMAKBANr8Nj4+vq+vb2RkpLCwkEQiHbklCf3sJBKJSCSOj48PDAzk5uYmJibK9DZIRCKRu7u7paUlsucZGxtLTk52cXE5e/bsrVu3cDhcXV0dvNPv7u6uvr5+eHi4jL3H4/F0dHT++OMP5E86PDzs4+OTl5cnFArFYrFipzmLxTIyMjrgz7K8vJyZmRkZGTkwMADpf3NzMysrq6qqClpWncFgBAYGUqlUqLE4yHC9ublZV1cXGry9kc3Nzby8PEdHx+joaB6PNzMzU11dDV1aLBbX19c7OztDw1c+n/9/Cj8SgY2OjkZFRREIhAsXLri7u/f09JBIpGvXriloSygUira2dnl5OVyys7PT1dWFx+N//PHHn376KTExsbq6Gum+p1Ao//nPf/Ly8vbsMUZHR/39/a2trR8/fvxkLx4/fvz48ePc3FwFYZw9AQAgPDzc19dX5nEJCwv773//K7OUDQAA/f39hYWFlZWVtra2t2/fJhKJxcXF169ff/78+RF2ZUKhsKOjo6CgoLKy0sTE5P79+7m5uTk5OT/99FNUVNR+RwkEAgsLCy8vr7W1NahEKpXOzs6Wl5cbGBh8+umnGAwmPz8f6YXf2dmxtbV1c3OTcUBvbW09fvzYw8MDsogkEsnk5GRSUlJRUdHCwkJbW1tjYyOPx1NwCywWy8TEpLGx8Y03u7q6mpaWFh8fr62t/ezZM8jnPDMzc+PGjZCQkI2NjaGhIQKB0NjYuLCw0NTU1NXVdRD/SktLi4GBweTk5Bu/CQBAdXW1mZmZpqammZlZYGCgi4tLfHw8n88XCAQMBiMhIYHBYMzPz9PpdCaTeZQCEwgEFRUVLS0tdXV1n3/+uYuLi0gkGhsbCw8Pb29v3++RolAoJiYmMk45EAT7+vrU1dUxGIz8Ic3Nzbdu3QoJCdlz6Dw7O5uRkREeHh4REUHYh4iIiPr6+v00LxAIlpeXuVyuTJ37+vr8/f3Ly8tllBkcHGxubi7Trb18+TInJwd65iIjIz/++OOYmBgOhxMfH19WVnZUAoPG1sXFxdD4wcXF5euvvy4uLob2mmhqatrvQIFAYGZmFhcXJ9/KeHt737hx408eMBAEQVAoFHp5eZmbm8tsjb27u4vFYi0tLYeGhkAQXFhYcHR0/Pbbb+/fv6+jo6OkpFRaWqq4LZuamjIzM2ttbVV8s0KhsLGxsaSkZGpq6u7du+rq6pBdU1NTc/HixdLS0rGxMWjPXgMDg3v37qmoqLS0tBzESoSsZdnI1V7w+fz29vbq6urBwUEKhWJmZubg4AAFA5qamu7cuXPhwgVTU1MVFRVdXd0/jSoPLzA+nz80NLS1tZWenn758mXIPlEc7wdBsLCwUFNTU36l26qqqmvXriUkJMgf0tvbq6mpicVij2mnFRqN5ujoKL87a2pqKhaLhZt8CKlU6uXlZW1tLWOKdHV19fb2Qn8HBwffvHkTetwhu0X+oltbW9CKv/N7sbCwsL29veeBbW1t0JMNgqCDg4OhoSHkTJdIJAqso52dHX19/djYWJlyAAAMDQ0fPHgwNTUl/xGBQDAwMJAJiIlEorCwMENDw+7ubhAE19bWsrOzg4ODw8LCAgMD4+Pj5ZMH4JQXCBaLBQlM8mdkjhIIBOPj4wKBgMlkKikpBQcHQ0kbfn5+Fy9e7O3tXVpaio2NDQ0NDQ0NDQwMTE1N3e8JkblQS0uLkZHR9PS04gpAPwL8PFMolJCQENihzWQyY2JioKsHBASUlJT8ydI5KifH0tISBoNRU1NDOi0UUFRUpK2tPTs7iyyUSqVEIlFDQwN+RpEMDAxoa2s/f/58T8NDIpEIBIJdhShIpZmYmHBycvr73//u6+sr08+kpqbCa80j8fHxkRcY7PZdWVmxs7PDYDAKmgMej1dQUODt7e23F76+vr6+vunp6XsuVwpfaGpqSl9fPzg4+CDDy52dHT09vfj4eJnyqakpVVXVqKgoeXECABAdHa2npyfT1YhEIgKBoK+vf8CAskAgyMrKcnR0fPLkCQaDcXBwMDEx+fbbb7W1te3t7TEYDAaDefz4sb+/v8xTAV+ORCIpKyu3tbWBIDg/P6+hoaGkpHTwmPLa2lp0dLSdnZ2NjQ1UAW1t7a+//trExMTBwQGDwdja2lpbW4eHh++XlLO+vl5QUBAaGspgMA5qjByVwHp7e1VVVc3NzffbqFIsFiPbBiqVamRkJBPXWlxctLW1/f3337lcrkQi4fP5yNtob29XV1d/8eIFPP5GMjY2FhAQAA20bPYCGontN4SbnZ1NTk4+f/78o0ePkE/qzMxMcnIyMjQEExgY+PDhwz0rA4JgfX29mpoaUpnyTePu7m5ra2t8fHxycnKKHMnJydCQRvHOg9nZ2UpKSmlpaXAJ8keT6dCEQqGhoaGMj14qlRYUFPzwww+QqxDyT8CfikQiHA5namra09ODPArqQ8zMzA4YnBSJRFVVVQQCITQ0FI/HR0REYLHYH3/80dbWNiIiAo/H4/H4kJCQlJSU5eVl+cPZbLaurq6qqiokv6mpqcuXL1tZWclYFgrgcrn5+fl4PB6qAIFAwGAw//73v93d3aEKhIWFBQcH5+Tk7NmCczicjIyMoKAgqMcGDxjEOyqBtbS0/Pbbb0QiUf7x5XK5TU1N5eXlNBqtr68P+udRKBQtLS1kyAUEwa6uLlVVVVtbWxAEp6enS0tLkc1/bW3t7du3U1JS9jSB2Gx2WlpaWFhYWFgYfh/CwsLodPp+tiufz3dwcJDx22ZmZnp7e++5aUNwcLCWlpaMp3Rrawuqc1xc3HfffQc9yhKJhM1mHz7gg4TL5ULjeDc3tzNnzhQXF4MgKBQKx8bGYEGOjo5WVVVRqdS6ujroFgQCgbGxcUBAAHIcKxAIXF1dz5w5U1dXJ5FIqqqqkH0mn893dnZ+9uyZjLdte3vbycnJxcXlnXceXVxctLS0hJ9XxYyMjKioqNjZ2UFPf2Nj4+XLl3Nycg6TsdHd3f3gwYODxMG2trYyMjKCg4Oh1kQsFrNYrFevXr15t9EjEZhYLE5LS7t165bMOBiit7fX1ta2srKyuLgYh8NBXRyNRrt3715GRgbycafT6Tdu3IiMjORwOLW1tUVFRUiBlZWV3bp1q76+/pC1VUBSUtJnn32WnJwMl0ATwPb8clRU1G+//YaMeywtLQUGBkZFRa2vrzs6On711VdkMlkqlTIYjOLi4iPcAndiYsLDwyMrK2t5eVlXV/e7776j0+kSiYROp5eXl0Na4vF4kZGR8fHxDQ0Nnp6eVVVVIAiKRCJra2s7Oztk/IPH41lYWNy4cWNgYGBmZiY1NRX5f9zd3bWysgoNDf1Tih0Ibm1tmZubR0REKNhc+413YWpqKu9W2ZPh4WE1NTUfHx8AALhcrouLy/nz52U61bcFHoMp/ppAICCTyerq6k5OTiUlJbW1tSEhIVgstqOjQ7GjoX909GgEtrKy8uLFCyMjoz07997e3jNnzri4uOTl5dXV1UGi7+/vt7Ky8vDwQJpYQ0NDzs7OlpaWsbGxNBptY2MD2QXn5eWpq6sf607N5eXlX331lbOzM9Quzs/PJyYmpqen7/nlsrIyNTW11NRUuITNZj9//tzAwKCkpCQ7O9vJycne3j4vLy83N/dok7yYTOaDBw+sra3LysrS0tIwGIybm1teXh6ZTIa7Xx6P5+TkpKWlFRsbm52dDXkvJBJJWFiYsbEx8rEWCARJSUn6+vq+vr75+fn9/f1II3lnZ0dXVzchIUHGHOJyudra2ikpKe/sGj24mx4EwY2NjYSEBHNz85iYGAKB8P333yspKR0yBfSAbvrh4WFPT08ikUgkEk1MTK5du6arq1tYWLjf6ACmpqXlyALNra2tDQ0N8sEHqVS6vr4eGRl5586d+/fv19TUQM/u9vZ2amqqqakpMs9ILBYzmczs7OyqqioZ5+nm5mZkZKSDg8OxbgE+NzdnYmJibGwMtRTFxcUkEmm/cPnq6qqtra2Pjw9cIhKJXr9+XVFRQafTFxYWWCxWcXFxVVUVsrs4EnZ3d3t6eioqKhobG9fW1phMZlFREZ1Oh6sK5cQ0Nzc/efJERUXFy8sL9un19PRYWFjILCuyvLxMpVLz8vL6+vpknpuOjg5LS7ER0tIAAANOSURBVEsKhYIshLplc3Pz6urqd74LFotlaGh48Pj7xsZGaWlpSUlJcnLypUuXPDw8DulPbmpq0tHReePmo/Pz81AEeWtrq6ioCI/H02i0g5imk3Nzx56L2NXVBXkIaDSaqalpZGQkrJCGhob79+/LzHrYj8bGxmfPnlEolOPOkg4JCbly5QqUR5eQkODt7a3ADAgPD8dgMKdwW73V1dW4uLjXr19zuVwsFquvrw+ndwiFQhcXl6ioqIM8nUKh0MPDIzIyUsbnzufzsVhsdHT0njbLAZmYmDhgD8bhcKDpFFBvmZmZqaKioiDcd0BaWlrgNPzj4rgFBqVEQdZLfHz869evYYUsLy9HRkYGBAS80YgXi8Xp6emOjo7r6+vHV1WInJyc8+fP4/F4Ho+XnJwcFxenIKw0NDSEw+HS09NP23RmDofj6enp5eVFpVIJBEJBQQHS9cxgMPz8/A6SBDg2NmZsbFxWViZTPjQ0ZGRkVFlZeZhKbm1tNTQ0KMingxkfH1dTU4uOjubz+Z2dnTo6OlFRUYfPsV5aWqqrqztgYOkd4Eulxy4wLpfb1tZWW1tbW1uLVBfE0NCQq6treXm54sSW9vZ2LBZ7VFmhiuns7Lx58+bTp09ra2sTExPfOOSj0+k+Pj4KclZOBLFYPDIyQqfT6+rqmpubZZowiUSSkZGBw+EUP9xbW1thYWHh4eEy3RSHwwkODo6MjFxdXT2W2suxuLiIw+FiYmIiIiL8/PyysrJkPC6nk4nFxROe0QwAQF1dXXJy8p6xRYjZ2dm0tLTKysr3s9wCj8dzcXHR09Pz8PAICAh4Y84oZJeTyeR3dqadCIuLiwkJCVQqdb/wtEgkamxsTEhIkBkMCwSC+vr6xMTEg/Q8RwUAABMTEzQaLTMzs6am5ljH4UfIyubmya/JwePxpqenORzOfj3A3NwcnBP0fkhJSfnyyy8vXboUHR19ENtvdXV1amrqRObRHAY2m81isRSsyTE0NCTfUUCZcR/WAiQnyYkL7BRCoVD++c9//vLLLwect4eCsi+owOSZm5szMzMzMjL6UEwRlNMLKrA9aW9vp9FoJ10LlA8fVGAoKMcIKjAUlGMEFRgKyjHyvwJDX+gLfR3P638A2Fjl1rL0SfcAAAAASUVORK5CYII=" /> </span></span></div>
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Sendo:</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: blue;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">v<sub>s</sub>
(t) → velocidade global da nave e assim a bolha se torna arbitrriamente grande;</span></b></span></div>
<span style="color: blue;"><b>
</b></span><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: blue;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">r<sub>s</sub>
(t) → dimensões da nave.</span></b></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">e</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><img alt="" 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" /> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Com parâmetros
arbitrários:</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="color: blue;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">R > 0 → raio
da bolha;</span></b></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">e </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<b><span style="color: blue;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">σ > 0 → espessura
da parede da bolha.</span></span></b></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Sendo que f(r<sub>s</sub>),
para r<sub>s </sub><span style="mso-spacerun: yes;"> </span>> R ou r<sub>s</sub>
= 0, pode ser escrito como:</span></div>
</span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--></span></div>
<br />
<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><img alt="" 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/> </span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Quanto maior
for σ mais rapidamente a função f (r<sub>s</sub>) se aproxima de uma função
“top hat” de acordo com a <a href="http://www.cs.cf.ac.uk/Dave/Vision_lecture/node17.html">teoria de Fourier</a>.
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" /> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Ou seja:</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><img alt="" 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" /> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Assim, pode-se escrever
a forma da Métrica de Alcubierre como:</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--></span></div>
<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--></span></div>
<br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><br />
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span></div>
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--></span></span></div>
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">
</span><br />
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
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<![endif]--></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Assim é fácil
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-58207185853261676452013-12-24T22:56:00.002-02:002013-12-24T22:56:35.292-02:00O UNIVERSO DOS TÁQUIONS - Parte 12.2<div style="text-align: center;">
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<br />
<div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;">2.2 – Como driblar a terceira lei de Newton:</b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Mesmo que fosse
possível acelerar uma nave ainda que a valores consideráveis em termos de c,
essa aceleração intensa mataria uma pessoa esmagando-a no assento. Ainda que se
fizesse a força contrária, a massa da pessoa, comparada à da nave, seria muito
pequena.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Mas Einstein tem a
solução para este problema, dado pela Teoria da Relatividade Geral (TRG), formulado
em 1915, na qual o espaço e o tempo são redefinidos num continuum de
espaço-tempo, sendo que espaço e tempo são intercambiáveis como sendo uma mesma
coisa, bem como sãomutáveis.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Isto é sob a ação de
fortes campos gravitacionais, o tempo é dilatado, o que implica em um espaço
contraído e vice-versa onde não houver campos gravitacionais significativos.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Einstein formulou o
seguinte insight:</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #943634; mso-themecolor: accent2; mso-themeshade: 191;"><span style="mso-spacerun: yes;"> </span>- A velocidade da luz é a mesma para todos os
observadores, estejam eles em movimento ou não</span></b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #5f497a; mso-themecolor: accent4; mso-themeshade: 191;">-
Qualquer corpo que se mova a uma velocidade constante poderia observar as
mesmas leis da física.</span></b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Dessa forma,
Einstein percebeu que tempo e espaço são relativos. Logo, um objeto em
movimento, sofre os efeitos do tempo a uma taxa mais lenta do que um objeto que
se encontra em repouso.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Einstein propôs o
“Paradoxo dos Gêmeos” como forma de ilustrar esse evento. Neste exemplo temos
dois irmãos gêmeos sendo que um deles viaja a uma estrela distante e o outro
fia aqui na Terra. Assim, o irmão viajante, quando regressar à Terra estará
mais jovem que o irmão caseiro.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Por que isso
acontece, sendo que a TRR afirma que não há movimento absoluto? O irmão
viajante também não deveria ver o relógio do irmão caseiro andar mais devagar?
Portanto, com o regresso do irmão viajante, ambos não deveriam estar com a
mesma idade?</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Vamos supor eu o
irmão viajante saia em uma jornada para uma estrela distante 6 anos luz da
Terra, numa nave que possua a velocidade de 0,6c. Consideremos o tempo para
atingir 0,6c não essencial.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O irmão viajante, de
forma a medir a distancia até a estrela, se utilizará da equação da
relatividade espacial para medir a distância dada por:</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
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<div style="text-align: justify; text-justify: inter-ideograph;">
Ao se substituir v =
0,6c na equação acima, o irmão viajante perceberá que a estrela está a 4,8 anos
luz dele, enquanto o irmão caseiro a verá a 6 anos luz de si, sob a mesma
velocidade.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Assim, para o irmão
viajante, a viagem até a estrela demorará:</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red;"><span style="mso-spacerun: yes;"> </span>4,8 anos
luz/0,6c = 8 anos</span></b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
E, para o irmão
caseiro, a viagem demorará:</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red;">6 anos luz/0,6c = 10 anos.</span></b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Para solucionar esse
problema, há que se considerar que cada um dos irmãos verá o tempo marcado pelo
seu próprio relógio e pelo relógio do outro durante a viagem, sendo Rc o
relógio do irmão caseiro e Rv o relógio do irmão viajante.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Dessa forma, deve-se
considerar o tempo em que a luz leva para se propagar entre os dois gêmeos.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: #38761d;"><b style="mso-bidi-font-weight: normal;">Na viagem de ida:</b></span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="mso-spacerun: yes;"> </span>Zerados os relógios quando o irmão viajante
parte da Terra, ao chegar a estrela Rv marcará 8 anos. Porém, o irmão caseiro
vê Rv marcar 16 anos.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Isso ocorre pelo
seguinte:</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Para o irmão
caseiro, a nave demorou 10 anos até chegar a estrela. A luz para vir da estrela
até o irmão caseiro levou 6 anos para chegar; assim, 10 + 6 = 16. Assim, para o
irmão caseiro, o Rv parece estar andando com metade da velocidade que Rc (8/16
= 0,5).</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Quando o irmão
viajante chega a estrela, vê Rc marcar 4 anos. A viagem para Rc durou 10 anos,
mas a luz de Rc foi emitida 6 anos antes. Daí: 10-6 = 4, o que implica que o
irmão viajante vê Rc andar com a metade da velocidade, ou seja, (4/8 = 0,5).
Isso demonstra que ambos os eventos, até então, possuem simetria.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<b><span style="color: #38761d;">Na viagem de volta:</span></b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O irmão caseiro
verá<span style="mso-spacerun: yes;"> </span>Rv saltar de 8 para 16 anos em
apenas 4 anos de seu tempo, pois Rc marcava 16 anos quando viu o irmão viajante
deixar a estrela e Rc indicará 20 anos quando o irmão viajante chegar a Terra.
Assim, Rv andou 2 vezes mais rápido que Rc. </div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Enquanto volta para
a Terra, o irmão viajante vê Rc avançar de 4 para 20 anos, em 8 anos de seu
tempo, ou seja, o irmão viajante verá Rc avançar com velocidade equivalente ao
dobro de Rv.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Mas, ao fim da viagem,
Rv marcará 16 anos e Rc 20 anos, o que indica que o irmão viajante estará 4
anos mais novo que o irmão caseiro.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Portanto, na volta,
parece ter havido uma quebra de simetria e houve de fato. </div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: red;"><b>Por que?</b></span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O irmão viajante
saiu do sistema referencia Terra, enquanto o irmão caseiro aqui permaneceu. </div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Há também a
assimetria de que tanto o irmão viajante como o irmão caseiro concordam acerca
dos dados em Rv em cada evento, mas discordam quanto às leituras em Rc em cada
evento.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Logo, são as ações
do irmão viajante que definem os eventos. Também, há que se considerar que a
velocidade de cada relógio depende se este relógio está se aproximando ou se
afastando do observador.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Com isso, o irmão
viajante estará 4 anos mais jovem que irmão caseiro devido ao efeito Doppler de
dilatação do tempo.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT; mso-bidi-font-weight: bold;">Dessa forma, a dilatação
do tempo</span><span lang="PT" style="mso-ansi-language: PT;"> designa, no âmbito
da mecânica einsteniana o fenômeno pelo qual um observador percebe, em virtude
do movimento relativo não acelerado entre os dois referenciais, que o relógio,
identico ao seu, pertencente a um outro observador (o irmão viajante) que se
afasta, anda mais devagar do que o tempo inferido pelo observador (o irmão
caseiro), no caso mais devagar do que seu tempo próprio. </span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">A percepção do primeiro observador (o irmão
caseiro) é de que o tempo "anda mais devagar" para o relógio móvel
(pertencente ao irmão viajante), mas isso é somente verdade no contexto do referencial
do observador estático (o irmão caseiro).</span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Quando dois observadores estão em movimento
uniforme e sem nenhuma influencia gravitacional, do ponto de vista de cada um,
observar-se-á que os ponteiros do relógio junto ao outro observador movem-se a
velocidades angulares menores do que as de seu relógio. Quanto maior a
velocidade relativa entre os referenciais, maior deve ser a magnitude do tempo
dilatado.</span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Assume-se nesse exemplo que os referenciais estão
a afastar-se um do outro de forma a tornar o efeito talvez forçosamente
"visível" via efeito Doppler; e desvio para o vermelho. Esse caso é o
mais simples dentro da relatividade especial.</span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Caso os
referenciais estejam se aproximando e não se afastando, o observador no
referencial estático verá eventos ocorrerem no referencial móvel de forma mais
rápida que o normal, dado o efeito Doppler e o desvio para o azul.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;"><span style="mso-spacerun: yes;"> </span>É por meio
das transformações de Lorentz que é possível inferir a relação entre um
intervalo de tempo</span><span style="font-family: "Gulim","sans-serif"; mso-ansi-language: PT;">Δ</span><span lang="PT" style="mso-ansi-language: PT;">t</span><span style="mso-no-proof: yes;">, </span><span lang="PT" style="mso-ansi-language: PT;">mensurado
pelo irmão caseiro, ao observar o seu sistema de relógios estáticos (Rc), os
quais definem o referencial espaço-temporal associado e o intervalo de tempo </span><span style="font-family: "Gulim","sans-serif"; mso-ansi-language: PT;">Δ</span><span lang="PT" style="mso-ansi-language: PT;">t’</span><span style="mso-no-proof: yes;">, </span><span lang="PT" style="mso-ansi-language: PT;">que será por ele inferido, via valores
registrados por um relógio móvel (Rv), atrelado à origem do referencial “nave
espacial”, que se afasta do referencial “Terra” com uma velocidade 0,6c . </span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<span lang="PT" style="mso-ansi-language: PT;">Assim, assumindo-se um movimento
unidimensional na direção x, observa-se que:</span><br />
<br />
<span lang="PT" style="mso-ansi-language: PT;"><img alt="" src="data:image/png;base64,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" 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<div style="text-align: justify; text-justify: inter-ideograph;">
Para referenciais
afastados por uma distância <span style="font-family: "Gulim","sans-serif"; mso-ansi-language: PT;">Δ</span><span lang="PT" style="mso-ansi-language: PT;">x’, a
equação será dada por:</span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;"><img alt="" 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<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Assim, dado o paradoxo dos gêmeos, as viagens
espaciais necessitam evitar a velocidade da luz para manter sua tripulação em
sincronia com o tempo nos referenciais estáticos. </span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="mso-ansi-language: PT;">Dessa forma, ha que se manipular o espaço-tempo de
forma a obterem-se os resultados desejados para uma viagem espacial. Tal
possibilidade encontra respaldo na TRG, que traduz o espaço-tempo como um
continuum que se dobra ou se expande conforme a ação da gravidade.</span></div>
<br /><br />
<span lang="PT" style="mso-ansi-language: PT;"> </span><br />
<span lang="PT" style="mso-ansi-language: PT;"><br /></span>
<span lang="PT" style="mso-ansi-language: PT;"><br /></span>
<div style="text-align: justify; text-justify: inter-ideograph;">
</div>
</div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-22536236637509933182013-12-24T22:50:00.005-02:002013-12-24T22:50:44.955-02:00O UNIVERSO DOS TÁQUIONS -Parte 12.1 <div style="text-align: center;">
<b>AS LEIS DE NEWTON</b><br />
<b><br /></b>
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</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Vale
aqui recordarmos as leis de Newton:</span></span></span><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">2.1 – Leis de Newton:</span></b></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><br /></span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
dinâmica de corpos é fundada no entendimento do conceito da gravidade, que arai
os corpos. Com isso, surge o conceito de força, que é a interação entre corpos
e, dele, derivam as três Leis de Newton.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Dessa
forma, na cinemática, estuda-se o movimento sem que se considerem suas causas.
Porém, na dinâmica, estudam-se as causas do movimento, ou seja, a relação entre
a força e movimento.</span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">O
conceito de força é intuitivo, cuja compreensão se faz por meio dos efeitos que
ela causa como:</span></div>
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<br /></div>
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<span style="color: blue;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">-
Aceleração, que promove a alteração da velocidade do corpo, quando nele se
aplica uma força ou uma resultante de forças (soma vetorial de todas as forças
aplicadas nesse corpo).</span></b></span></div>
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<br /></div>
<span style="color: blue;"><b>
</b></span><div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">-
Deformação, faz com que o corpo mude seu formato, ao sofrer a ação de uma força
ou de uma resultante.</span></b></span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Várias forças aplicadas no corpo:</span></b></div>
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<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span></b><img alt="" 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mso-para-margin-left:0cm;
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Resultante das forças:</span></b></div>
<br />
<div style="text-align: justify;">
</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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HKI0CcmuHQr7A68NtdCbRsD2umBS7eFduJXcsxx2UTMdhNsuhW0E7+Sa66ey8Ds9lRPtVdZv2qSpsqkKUqTUZOnqs6e5bNSOcVaJc8Du2utGtthUZaROscSE2MJReI1InVmRRImnQRnUBEEqoi44f6fj3DWFRhN5tnN30vRFtgY7yPr7KOqFlIW7KWuFNoY7yPr8JxUefYL9lJWCmyM95E+3kddWEiev4e2QmhjvI+kW+SsyrOfv4e6Qmhjso+0qpC2UMxYlENd7ATNmKGEQqFQU2fOMlmxPNt8TRFNZy8ZU+SC3kZRT7FEZ7rgtjhjEwiYVG3VeIJKW40QVBExoIqIG/3lTvNmxj7bj0R0tIS6WMTQlVA1xBSMiApJKOovIh0jcsO+iLQlYgokokISipqIoSuhaorpGJEbJKGoi9xXSahLyqiQ0Es9xkp1ifJUJfhszayp/qbQPk/9HW7LPjHD7DbCZthiuGZqXFso3gYbTcDG6MyJJmierDkITtsgBlQRcaO/3pZv9dxtBQnJugIKJKSoCsgYAUVXSFktoGCEFFUBBY56L0Yp6P+I5EUCysdCqp6AAgmpqiLKonL31TtstB0WTZo2CYVCoSZPRxlqT+NSFoo8MNuo6O2W0B4ilOkAccyxGXZQkh12Ix7y1VYJJaidqqkEp20QA6qIuNHf7tazfXeZY/kuq/k0dYHzXD4VyyfpCVzW8Glq/xdd1/w+CvFJqwUu+ny6usB5Hp8K8cmr+S76PJq60HmeiAZJXFfGLoU04ackolCLNT6KoC3ie6hLSKpiGiSmYouo6ByKWqo5OtMJt9UFy8RjfFcsYOJnnKrhgQNUxIAqIu7h/dutSXS+0/wSD60yV7TQZ2kpDSr10CzxWlZGQQt9lpbScaUeS0u8lr8YpWNLPTRL1i4voywS+iwtpamVumuVeC4vd10kXre83EM9m6hshZsEH5vOmDaDarCkxGvFITIkcVshIqlJqFCBh1qa/aIs4xenbcJNNFiGypEmk8DVNkgCVUTck1/v9nL9pB7YgxtWNa7XPRhiKPdbdThw1cFgvUY/3YMhBnJ/7SNBHx/cqNewXvfgRkO5/+ojgasObljd6PfxwRADub9OdaDOwRC9lvW6h8ONxcF6XgbzVGagUCjU5CkoPA6TQtCvJ+kfZ2hXuBrwabpCKppHXriNqpZquSjDGbfFAZtog0l1WZBgM6ftiAA8mIEYUEXEPfrlzulkhoi0oCTcSBZlcmwDocHNuNTbqNTXSOZm2hqg38hQK/NaWhJuXB9lciyE0OBmXOZtVOxHkLmZtgYYNLmrl3tpFocbt8SatYYbhVlrYVVno1BKqCkoHKQUrj9H5LhiP13nCHlxKU1XQNEUUzB76FiuE4ZriuPaQPHW2GgzbJz5nBizJSerD4K/FREDqoi4R/dvn0mmi0gLipmG9eH4lmC83A1f6o0vXoeX0Y2OBqxpYOBKvbSKWYT6cHxLCF7uhi/zxkt88fV0o6MBBg0MtTJPzZIIo5ZIwwqPxfqqH8HXuE2aNtlaZ77QGS0PWibcoFNI1RBQdIUUTTFl5R66HsdZjWsKcW2hBDtstCEUt3xODH7xyZoDoIqIAVVE3OOBn7vyNx7x1awP0W8O0a8PNWxiGsiZBvJQQ1mIvjTUsJal38g0kIUaNofo1zMNm5gGDRNGa5j6jSzD1lDjenddP93p86a/uNx0/pSpIQSdGg8TebCRIGR1oecKgctqIU1bRF1dRMHnUDVTLVQznXFbXLAJBMwW7QVxhJkna/jgABUxoIqIGx34pa0grs5PuyncqC6a2BxmXM8ya2KZfhplsj+WyAszlrLMW1jElkiTiaPHIo0PxBJ5YcblYeatkWan/Uw+wa9Sm/GiiHMmoyjY2TsYqw+5m1d4ESW+K8tIkISuLSapl9DUdnkuSbVflGWkzrFA/361jXIkQakdXG2DIFBFxD0aGOjannnYm1C32aYpi1IfZdUYRJaFONZttpVlUfZHWdX9HpuyqPXRv49uspFnU/fHWNWHkD8Nc5F4G/uu1Jk5aQYKhVJCKRljZpfQV9aE4eUBhlUB+AMbVrd4rqhw0S+ifywko4tIqrkUtVQLdIbzi6ttUrRV4wmz2mr4oIqIAVVE3MP+387u3FLtvVoeaybf6tAQYSYLsZOFWMliLRq22h+NIDaG2MpDLBtizeVbHRoizWQhdvIQS3msecNW+6ORxJZQu6oIu1iyjsb8eVOUJqFQShjl2RtMVzZGEdsj8U0euAofTel6nVrakhLqqgzasm3mmD3GUKY9hmOG5dpCCbbYGAIUr6MSQ1gC/lZEEqgi4kaHfztdsvn4Rt0zEabyJFtZNFGWbHMqzvxMFFG+yVYebSLfZH0qzuJsFFG+yU4WTZRtsmmPtzgbRZQn2TZEmzRtsT2y2TbMZfHMOSgUCjVt5hx7vRW7vE3kkcatLINGd7X93lqCgI95VIhHQ2dR0dvMod0muAw7NJeIy7CBEmywoXisv/ZsJkHjFLjwDUGgioh7ONrfc5DbnmRxIc21JZ1UFUtsZLteyKB2sEnNbHpVrFNjOu1CBrWDTW5hk6tiiQ3pLuczqF1scguHfjjWsYlN/zSXsYOpb4OfqTpn5lLcsngKoTmEcNRfvyIYX+dvWBOEF4TqF3otETjPE9IgEQXLI6NzqeopFugsF7UUVxwTj/FdrsrEzzoFDlARBKqIuNGB+22CxJattieyGfXxNq2hpg1x1sdz3E7kMuoSKK2h6xpiaa059M9y3esSbFtDTRtirVuz3T7LZdQlkltDfRpiacdy6Mdz6ftCjCKIq5imxqJ1xM98jQ+5mvL9jMoYxlI3U4nXylISWuy2VETCFVOhAk+1VLuFWUbqbEtMjCUUZqwRukY53HhSezU4bYMcUEXEPRz+rWs/py3R/Ey6c3u6Z0fMuvZUz1Nc17Ns5/b0dR2xrPZUv9Mcl7Nsl3a2Z0fMuvaUtac5rmfZzu1s787YsPYU/zNcUk8W7WyWx4kwu+Z4Su0mR3mgbYOPW8UGixp//SoX/AHH1c305RUkQz5NV0TFFJEX5lJwqRboTGfcZgdsgg2U4rwg3lq57Qi4V0QOqCLiHgz9eqZ067Ekyz6262WuV0fmxqPctZ+xXfvYrpe57p1ZwS0ZnifYrn1s0mWuR2fmxhau9wk2qY9Nusx178ra8GnG2s84pFMZ5NYUam8s43QKvWGzlTzMoiHStYVFbPLC7SdpSSkf11CWlFFX8SlLxVTMXhomwwViE7EZdlCiDTbGAkqwUomxWHzyCDhtgxxQRcSNDtxvK05uzqZeLPC9lMO4sDegIdejNc/n4m7/S2y3Dm6AnON+LN+nb7f/pRy3zr0BDbkex/LWXdyz/hKb3MUlN7Ndj3Mpp7Koss0keaR7fSK1Id6ikWVQH25wNNSg0Q1X4aMpCNTmUdWENB0heYmYsny3my7bEZthiuVYY+JssFF4bMzK2dEEDfB8RSSBKiLu8dCv1w9lnN/hcXbv+lO7/DqLgrt3+XfvCzzHC2rP9utMDu7O9O8uDDxfFNxe4NfxYjToPC/kVA7jfLJ9O5d6lku9wCYf5VIPx1nJ2aSGdGdZsEHDOr2KYMN6f8Pa9XhByOpCz5UCZz0hTUdE1Ssi43NpWimWCzJdcFtdcQkEzNaVLx5XBFfbIAZUEXFP+n/+RpDQxXE5ut2rhkM5V+B3iUu9mOvRusO7Op1ydpvfJTatb5vHsZ0+1RzKmQK/Sxm0vlyP1jyfWrbryU88mzmUYxzKyWx3WZJ1a5iBPMpMHm1x1Nv4oLMp39eojGEs9TSV+K4oIWHEdG0RSb2YurjAc2maPTrLWJ1jiY62hCLwGpE6ylGESe014ElSyAFVRNyToV+/PMC+8Inb6T0Bn+Wt6ygM7sn37d4dcHZv4Gf56y7wg3t2+Xbv9j+zN/CzvHUXCoN7C/x6dgec2RPYlud3TsQ8WeB3Kp10hkNp45K7Iy1OBTvXb7STBdrK17lJgy1qfPUP+eMPbFjV7LGswkWfR9MRUdBFZNUcMi7VAp3phNvshI0nQFt0FsQTlE+Cpw4jCFQRcY9HB642F5zf59srYvZJwrtFrE5JeJc4rFfE6pOE94hYnRJWl5jVK2JdlIT3iFjdkvBuSVhPQdjn26K6iljHtnu1sUmnMsjH0qjnIxknNtDrN1rJwiwaIkktTGKTp9p+n6XSwI/r6ZqlFL1M2opPLKG9JlCWA8Q2h7j22ER7bCwBStKZG0NYfBK8oAaCQBURNzY6fKeh+PKe0E7hxi4h86KQeUPIvCZkdgmZncLQXmHY18Lka8L4LmFot5DZLWR2i5jdYmZPfnhfGrOL49WU5nKcSzmVRZMlkxoi3OsSqfIEi0aWYX2E4dFQg0Y3rHTtEoG/Dp8C8ehQBgWdYwbtMsZxbdGZRHWONSbOGgrF4wJ0ZrMIS07VgFcHRw6oIvJGR0caqr7eE32eH3yOH/K5IPQOf+N3/I0dgtBz/OA+YcTPwswfhCkdgpAL/BBFG88XhZzO9rywyQE+bdPBJn/KpVXFWTWwyQ1pzrJgg0Y/vf0bDGX+BrVBeEGoQaGXpsBpLp+OFVKwfFf0NtriFMtFWa5qqa44Jh7tu0KVSZgDrrZBEqgi4p6ODn7fIOjdE9wjYl4sDusVh16VhH8hDusVh10sDusVsb4QxF8SxvSKwy4Wh/eIWN1CZq84rDXPuzbN+WSuRzObfIxDOZnNkCXZHAs3lMWby+MtjnobHXQ2FvgRyhkmUgZR7K0tcUWL6UvEJKiEChV4qqXZL4RP28RYQCwjjZDVyuHG4LQNokAVEfd4dOQLmfTMrrCvDyXclnOuVsR9V5d+oyr5xoHEuw2cS6VxZwq3nucl3TiUdK8583JZdCd/Y4+IdWZ3wImdPueEzDb4tA2X0sYmd0Wbn0pxqt9iJwu0la2llQdbVPsZHHIhHHDWbaItryAb8KkfiyjoIuqiHDIuzRyT4YRNdsDGW0NbHefHWc1sO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<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
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UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
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<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
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UnhideWhenUsed="false" Name="Light Grid"/>
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<w:LsdException Locked="false" Priority="64" SemiHidden="false"
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<w:LsdException Locked="false" Priority="65" SemiHidden="false"
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<w:LsdException Locked="false" Priority="67" SemiHidden="false"
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<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
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<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
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As leis de Newton descrevem
o comportamento dos corpos em movimento, causados pelas forças. Assim,
constituem os três pilares fundamentais do que chamamos Mecânica Clássica ou
Mecânica Newtoniana.</div>
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<div style="text-align: justify; text-justify: inter-ideograph;">
As leis de Newton descrevem
o comportamento dos corpos em movimento, causados pelas forças. Assim,
constituem os três pilares fundamentais do que chamamos Mecânica Clássica ou
Mecânica Newtoniana.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;">2.1 - As leis de Newton:</b></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: #b45f06;"><b>1ª Lei de Newton ou
Princípio da Inércia</b></span> → <i>Todo corpo continua em seu estado de repouso ou de
movimento uniforme em uma linha reta, a menos que seja forçado a mudar aquele
estado por forças aplicadas sobre ele.</i></div>
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<i> </i><span style="mso-bidi-font-style: italic;"> </span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="mso-bidi-font-style: italic;">Ou seja, se a resultante das forças que agem
sobre um corpo for nula, este tenderá a manter o estado em que se encontra,
isto é, em repouso ou com velocidade constante.</span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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" /> </span></div>
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<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
A primeira lei
postula a existência de pelo menos um referencial, chamado referencial
inercial, no qual, o movimento de uma partícula não submetida a forças é
descrito por uma velocidade (vetorial) constante.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Um referencial
inercial é aquele onde a partícula não se submete a qualquer força ou se
submetida a um conjunto de forças, sua resultante é nula. Ou seja, referenciais
inerciais são identificados pela propriedade de que compartilham as mesmas e
mais simples <span style="font-family: "Times Roman","serif"; mso-bidi-font-style: italic;">Leis da Física</span>. </div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
É nesse referencial
inercial que valem as leis de Newton.</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="color: #b45f06;"><b> 2ª
Lei de Newton ou Princípio Fundamental da Dinâmica</b></span> → <i>A mudança de movimento
é proporcional à força motora imprimida, e é produzida na direção de linha reta
na qual aquela força é imprimida.</i></span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Esta lei diz que a
Força é sempre diretamente proporcional ao produto da aceleração de um corpo
pela sua massa, ou seja:</div>
<br />
<div style="text-align: justify;">
</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><img alt="" 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</span></b><span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"></span></span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Onde:</div>
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">p = momento linear;</span></div>
<span style="color: blue;">
</span><div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">t = tempo;</span></div>
<span style="color: blue;">
</span><div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">v = velocidade do
corpo;</span></div>
<span style="color: blue;">
</span><div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">F = resultante de
todas as forças que agem sobre o corpo (em N);</span></div>
<span style="color: blue;">
</span><div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">m = massa do corpo a
qual as forças atuam (em kg);</span></div>
<span style="color: blue;">
</span><div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">a</span><span style="mso-spacerun: yes;"> </span><span style="color: blue;">= aceleração adquirida (em m/s²).</span></div>
<span style="color: blue;">
</span><div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: blue;">O sistema acima vale
para massas constantes e velocidades variáveis.</span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
</span></b><span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><div style="text-align: justify; text-justify: inter-ideograph;">
No caso de a massa
ser variável e a velocidade constante (<i style="mso-bidi-font-style: normal;">e.g.</i>
fluxo de massa através de uma determinada área), tem-se:</div>
</span></span><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"></span></b><br />
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<img alt="" 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" 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<div style="text-align: justify;">
</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span></span><span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:View>Normal</w:View>
<w:Zoom>0</w:Zoom>
<w:TrackMoves/>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>PT-BR</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
<w:CachedColBalance/>
<w:UseFELayout/>
</w:Compatibility>
<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
</m:mathPr></w:WordDocument>
</xml><![endif]--></span></span></div>
<br />
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 3"/>
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</xml><![endif]--></span></span>E, para tanto massa
como velocidade variando, vem que:<span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">
</span></span></div>
<div style="text-align: justify;">
</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
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EAoFPL5/MHBweLiYhcXl2+//VZNTS0sLKy2tnZychISV09Pj76+/u3btyEXhq15jqpBrAKHw2FsgslkLiwswOFwZ2fn4uJiaJzwcUKlUmtra62trW1tbXNycmpqalpaWlpbWzs7O0NDQ7/99ttPP/1UXV09LS1tdnZWLBbTaLSCgoI7d+6cPHmysrIS+h6xWNza2nrq1KkTJ06UlpZCfbtAIMjPz7969aqpqamHh0dWVhYMBisrK+PxeDQaLTs7293d3d/fH4fDAcPH4uJiVVWVl5fXkSNH9u3b5+DgUFZW1t/fDw3bSCTSw4cP9fT0tlz3lgEBZjphYWFmZmYBAQGFhYWNjY2tra04HK68vNzKyup//ud//vjHP9ra2jY0NJBIJNCp4vH4sLAwfX39O3fuJCQk1NTU1NfXFxYWVldXLywsgGWjubm5gICAGzdupKSkgLE9j8cbGBhITk4GNlRVVdWIiIi6urqJiQloANjX12dkZGRlZfWCTGmvbQNns9lDQ0PDw8MfjEvDm3hcMZnMhoaGoKAgR0dHT0/P6Ojo2NhYOBzu7e2tra29e/fu7777Doy1eDwelUrNy8tzc3O7efPmBt/Pnp6ea9eu2dvbz83NQXUpFounp6dTU1Pt7e2vXbsWGBiYn58PcmjQaDQkEnn79u2QkBDICZHD4UxMTMBgsLNnzxoZGZWWlhKJRAaDATX5RCLR19fXysqqurr6o12/eEmA/TknJ+fRo0fAwx/UbERExC+//KKoqPiPf/xDQUHB399/cHAQPEwejzc2NhYbG3vjxg1ra2tfX18UClVSUjI2NgY97fHxcScnJxMTk7y8POBPKhKJGAxGQ0ODg4PDpUuXnJycurq6VlZW1tfXoTezr6/v+vXrdnZ2LwgEeBNVb7D1v9fw+fy1tTVgxng9uFzu4OBgaWlpWVlZY2NjU1NTY2NjQ0NDRUVFWlpafHz806dPx8bGBAIBj8cbHx9vbm7GYrGgRiEoFEpNTU1bW9uGxWShUIjH4xsaGvLz87FY7OLiIriASqUiEAg7O7u4uDjpeN35+fnAwEA9PT1/f3/pFU7wfhCJRD8/v1u3bslU/ZKsrKy0tbUVFRVVV1c3NTWByq2trS0sLExKSkIgEFVVVcD/BFwPGuKKioqCggI0Gt3Z2TkzMyOtl7GxMUdHR3Nz84qKCulJcnNzs52d3b1797Kzszfrq6en5/r163fu3IHWL7dmS1ULBIKpqana2tqCgoKsrCxg9M7LyysuLi4pKYH+zcnJSUtLS09PLyoq6u3tfa+XSfh8fnd3d3t7+/z8/Htkz6dSqSgUysHBISEhAVK1WCzu7u62sLDQ1tbOzMwEI3kQvw1UTSAQHj58aGxs/FKLnzJ2gImJCVdXV2tr68rKSkjVIpEoLS3twoUL3t7era2toOGWDtLG4XBgBP6CjAtbqprD4dTU1Dx8+NDIyOjHH3/cs2fPwYMHdXV1bW1tb968aWtre+vWLVtbW2NjYyUlpf379588efLRo0c7G1z2xgiFQiaTicfjp6enp6enZ34F/B+Hw4WHh3t6esbFxY2Njb0v8Q9ra2tPnjxxcnKKiIgYGBgABhuxWNzY2Hj+/HkjI6P29nYej7e+vk4kEqFmd3l5+f79+2fPnq2pqXmrxf94mZ6e9vLyunHjRl5eHjScFggEERERKioqcDh8eXlZIBBQKBQymQxNndra2nR1da2traWjBrbgWX31xMREcXGxp6engoLC3//+dxUVlcePH+fm5ubl5YF/c3Jynjx54urqevbs2bNnz965c2cHM7ZsB0wms6OjIyQkxMrK6ueff775K7a2tr/88ouZmZmysvL+/fs1NTWLi4vfF5M+k8ksKSnx8fF59OhRY2MjKLZIJKqqqlJXV7e2tp6amqJQKCMjI+3t7VDiOwKBYG9vr66uXltb+1aL//GytLQUHR1tbW0Nh8MnJydBL8Lj8fz8/OTl5TMzM9fW1vB4fGNjY19fHzQdw+Fw2traNjY20qukW/CseTWfz6dQKOnp6WfPnlVWVo6IiJibm1vfxOTkZGpqqqurq6enJxRd9G7CZDLb29sDAwMtLCzMzMx+/hUrKytbW1tDQ8N9+/Z99tlnZ86cqaioeF9mmzweb3h4+OnTp87OzllZWRtUbWxsDCIHGhoaurq6oLXT+fl5d3f3Cxcu1NfXv83Sf8TQ6fTGxsZHjx55enq2traCiuNyuYGBgUeOHAkODsZisbW1tZWVlaOjo2BKKBKJWlpaLl26dOvWrRd4+z7HWra0tOTl5XXo0CEdHZ3NuxMARCLRyMhIeno6SJj4pn/rTgIiaWZmZgYHBwcGBoakGB4eLi4uvnnzpra2dmRkJFhRfNvlfSmA60J7e/vPP/8cHBwMxthgXn3r1i2QiyMrKwuHw62uroJXh06nNzc3R0dHu7m59fT0vHkB6HT67OysdHCCjBciFApJJFJkZKSFhUVVVRVY7hIIBNnZ2cbGxu7u7ikpKSAIn8ViAZsIHo+vrKy8c+dOcHDwC9aSn6Pqzs5OPT29L774QkdH51mpGwQCAYlEam5uzsjIeIFd7t1mYWEBjUbn5ORMT0+/L5KG6OjoMDMz8/DwgCzqVCoV5NZqaWkZGhqStrSPj4+Hh4cjkcjKyso3T0YtFAo7OzuDg4MLCwtlQWCvBJ/Ph8PhV65cgVQtFovn5ubq6urq6+u7uromJiYgr34QdhEVFRUVFdXS0vICg+5zVN3Y2KisrPzFF18YGhpOTEyAgyKRiMvlcjgc0DCz2WwSiTQ6OlpdXb1hkeY9gslkEgiElZUVCoXy3nU4YrF4fHw8NDTU19e3oaHh+YtzwNHFyckJgUBsSyssEAiKiorOnz/v5+f3Xi+C/PaIxWI0Gu3h4ZGfnz8yMvL8oGYGg5GZmenk5FRYWPhiD5HnqLqsrOzw4cNfffWVra3t3NwcOAjCxMbGxkAVAqvy4uLi4ODgCzzOdxIej0cmk5eWligUCuSRLhKJmEzm8vIyiUR6fjciEAje60BxNpvd398Ph8MjIyNxOByTydxyuAGcSZ8+fRoREVFSUrIt7gbSqoY6lpcEJNCl0WgkEolIJIKXVSAQUKlUMplMIBAWFxeXl5fB1wqFwrW1NQKBsLy8vLi4SCAQ1tfX37smeANEIrG2tjYpKSktLW1ycvJZLyFwhcjKygoPD+/u7n7x9z5L1QwGIz4+/uDBgwcPHvTz84P6YRqNhkaj8/PzwXydx+PR6XQGg7G2tvasMolEIrDNL/sV4XK5L7RaicViBoMxMjKSmpr66NGjuLi4jo4O0F9xuVwsFuvr6+vv79/d3b3hq8Bc5Vnf+aLH9s7B4XAwGAwMBgPpk7YcoYFRXHR0dE1Nzdzc3LbY+QUCQWlp6aVLl4KDg19V1QKBYGRkpLCwMCEhISgoKDc3l0wmz83NlZaWZmdnx8fHe3l5PXr0qLm5WSQSEYnE0tLS+Ph4GAzm5+cXGhpaU1MDOWluyeZ03O8gRCKxpKTkyZMnlZWVz1qvWl5efvLkSWpqaktLy0s5Sm2parFY3NfXd/fuXbBMXVxcDFUYiUR68uRJeHg4iDSCfBue8/gIBEJNTU1GRgbqVUAikQUFBVNTU88XNp1Ob21tzc/Pj4iIMDU1NTIyioyMHBwcFIlEHA6nqKhIW1tbVVV1Q0YxgUCwurpKoVC2fLM5HA6HwwHJQ178BN8ZKBRKV1dXa2vryMjIliF0HA6nsbGxoKBgYWFhu/40oGp9ff3XUDWHwykvLw8KCvLz8zM0NNTR0YHD4cC6AXzdraystLS0fHx8cDgcFotFIpHR0dFRUVFubm7m5uYPHjxoamp61gyTTqdTKJTNZ0GyfpDJ511Yv+Tz+fPz8/39/U1NTRuCPSGIRGJRUVFtbe0LQrUgtlQ1j8fLy8tTV1fftWuXpaVlRUXFzMzM4uJif39/eXk5AoGAwWDPKsFmBgYGPD09jYyMNDQ0NDQ0zryI06dPnz59GkRu19XVPX9sPDU1lZaWlpWV1dra6uXldfz4cVNT06qqKhBD09zcrK+v/8MPP8DhcOhFB7tVDgwMjI2NbX4RRSIRjUabnZ2dnZ192Yf4zgDCg9hs9paNLLBXU6nUbRy4vraq+Xz+0tJSZmZmRkZGS0uLo6Pjnj17zp07l5KSMjw8TCQS5+fnc3Nz9fX1jx07dv369ZiYmMbGxrm5uYWFhaampl9++UVTUzMpKWnzJBMsyvb39w8NDW0+KxKJgLPzxMTEC3w5fivEYjGfz2cwGM+aJ4JO6BVmuFuqmslkhoeH79q167//+7/V1NQcHBx8fHw8PDxMTEx0dHQeP35cVVX18r+Bx+MrKiqSk5NBMpe4lwMGg+Xk5EhnctsMkUhsampCo9EDAwMkEsnb23v//v3Xr1/HYDCgLyKTyV5eXqdOnUpMTIRUPTw8XFBQ0NHR8axNMNhsdkNDQ0ZGxsDAwAcTu7JDCASC8vJyAwOD0NDQl7eBi8ViPB5fX1+fnZ09MjJCp9ODg4MPHTqkp6cHGYQlEkl3d7eJickf//hHkJkAGnwSCAQXFxcFBQUYDLbBOiAWiycmJkpLSysqKqamprbsEjgczuDgYGZmZm1t7QtCGt9TnqXqBw8e/OlPf/rss880NTUfPHjg4+Pj6up68uTJAwcO+Pj4gIjCV/oh8Wvx/O+cnp5uaWkhEAhCoXB8fPzq1avy8vKxsbHSxcvOzra0tMzLywPR52QyOTMzMywsrKenB6pyMPMH1gEwPBsYGEAikYmJifX19c9JCLG6ulpRUQGHw2EwWOzbBg6HIxAIBAIRHx8fFxe3+YK4uLj4+PiEhAQ4HC59PCoqKjExsbOz8/Uc4BsaGkxMTOLi4l7+FpFINDMzg8Fg2tvb6XQ6yCejqakJg8Gg7LlCobC2tvbChQt/+ctfbGxsIHutUCjs6uq6ceOGsrJyfHy8tKpFIhGZTK6qqgoJCSkrK4Ns8qAzhLwvhUIhcLIICQmprKzccoghEonGx8fT09MjIyN3tNbi4uISEhIQCMTmeoGAw+EJCQkJCQlbVmtYWFhjY+O/lX5LVa+trdnZ2f3+978/ePBgRETE6Ojo/Pz89PR0YmKimZkZCoV6R6K1gFEUWLArKytPnDihp6eHw+GkW+jq6mp3d/eqqioej8disYqKigICAjIyMiYnJ6FRAIlE6uvra29vBy+ZRCIRCoXNzc3379/39fXdnGMQYmZmxsHBQV5e/vDhw0ffAY4cOXLkyJFXvevgwYOnTp1CoVDPGX9xOJzFxcWJiYnR0dHR0dGxsbGxsbHx8fGhoSEkEqmlpeXm5jY0NDT274yOjk5PT6+trW0YcIG5AB6Pp9Ppa2trubm5ly9fNjIyam1tha4B1nUNDY3jx48jkUiobGw2Oz09XU1NTUlJCYlESr+KDAYD5NJDIBADAwPQb1Gp1ImJifLycgwGAzpnLpfb39/v6Ojo7Oy85XiQz+eXl5dfvHhx//79O1FTG3iNWoNu3LNnT2Bg4L+VfktVg8Quf/7zn3V0dKSD9bq7u4ODg6WNZy8DWOJms9msVwSYrJ7/zcBcNzk5GRQUJCcnZ2ZmJi1CsViMwWB8fX3r6uoEAsHS0pKbm9u9e/dwOJy0LbGtrS0kJASFQpWXl0NDsunpaT8/P29vbzQa/awJNkjpGhYWFhgYGPLe4u/vHxMTAwUJbcnMzExERMTt27fNzMzMzMwsLCwsLCxu3LhhZmamoaHx9ddfHz161NTU1NLSEpwyNzc3Nzc3NTV1dnbGYDCbvxkaTE1OTnp4eGhqapqbmw8NDUEX8Hi87OzsEydOmJqagqxA4DiNRvP29t67d6+Ojk5BQYH0SGppacnX19fR0RGDwUCvqFAo7OvrS05O9vb2zsrKgtxmQeKx27dvV1RUEInEDQNDoVA4PDyMRCL9/Pzedv08j+DgYB8fn43ZLzarmsViVVdXa2try8nJubu7Q22eRCKZm5sDk9hXWt1dXl6urq6GbLLDPdgAABP5SURBVOCJL8dL2sAlEgmfz6+qqtLX1//mm29cXFygRTihUEihUNBodGpq6sDAAI/H6+3tNTU1tbe33+ATmp+ff+nSJX9///b2duj9o9FowGcuKCioo6Njy58GppfNuWLeO5hM5vN36pmeng4NDbW2tjYxMTExMbl27dq1a9euX79+9epVdXX1r7766scff7xy5YqpqSk4dfXq1atXr165cuX+/fs1NTXPmcW0trZeuXLlxIkT9vb2IBUEgEKhIJFIRUVFZ2dnaQdJPB5vY2Ozf/9+b29vsNgBnRoeHr579661tbX0SwtyrVpYWPz888/SiR/ZbHZTU1NYWFh0dDQWi93c7gDT49uumRdDp9M3Pt7Nqp6bm/Pz8/vuu+/k5eVTU1OlPca4XC74ileaVPf393t4eBgaGr6qDdza2vqFNnBQPRkZGcrKyseOHUMgEIxfh2pMJrOuru7p06cDAwM0Gm11dbWystLS0tLHxwcstgsEAiaTubKyEhAQIC8vHxwcPDIywmQyoRgJKpWanZ199erVsrKyl/97P0jYbPb8/PzY2NiwFCMjIwMDA3FxcWfOnHFycurt7R0ZGZG+YGhoaHJycnV19TkmTwwGo6GhcfHixZiYGCgmEWxD5+Tk9MMPP4SHh0O3C4XC3t5eQ0NDkFsfjObIZDKDwVhbW6uurvbw8PD09AStA5/PZ7PZBAIBDoeDJRUcDgdyj0kkEpFItLq6ikAgbty4kZ2d/UGZRTeoWiwW9/T0XL169dNPP9XQ0JDOZvzaLC8vV1ZWJicnx8XFwV8CYAOPjY3NycmZnJx8YQHYbHZKSoq8vLyent6GLLwJCQkoFIpMJguFwsHBQTgcfu/evbS0NBqNJhaLwT6yKSkp586d+/LLLy0tLZ8+fdrV1QWFubFYLBgMpq6unpWV9YYP4QOmrq7O2Ng4Njb29W4vKytTUVG5efNmbW0tNGym0+mpqamXLl06evRoSkoKdDEej09MTDx69Kiuri6ITSAQCE1NTVNTUyMjI3A4PDQ0ND09HbTaVCq1s7MzIyPDyMjoq6++0tHRSUxMbGtrI5PJUPJWkJU9Li6O8fY8I7efzX11V1eXhobGJ598Ympq+oKkZy8NmP1C/irPR/QrLzkiYLPZiYmJP/7448WLFyFzy/r6end3d1xc3NOnT9fX13k8XnV1taurq4uLS21tLRhtksnk+vp6Hx8fRUXF3bt3m5ubA1VD4z06nR4VFXXmzJmkpKTf0mNBKBTyeDwejwdc7t9lZ5jXW9mCYDKZMTEx8vLyjx49ko7kJZFIPj4+ampqWlpaJSUl4CAIRbS0tPzmm2/u379PJpNnZmbQaDQajcbj8c3NzS4uLqGhobW1tUCiIDotIiJCS0vrn//8p7GxMVgblw4vS01NVVNTg8PhO2cABrXJ5XJZLBY0UthZIFWz2Ww8Hj82NpaQkLB3795PPvnE0NCwsbFxeXkZrPfseFFeFw6Hk5+fr6ure/78eSQSOT09vbi42NHRUVBQUFJSMjExIRaL2Wx2YWGhra2tu7t7W1sb+HOAI0RycrK+vr6BgUFaWtry8vL6+jo05mcwGEgk0sTEJD09/TdLeyQWi+fn57FYbFNTU21tbXNz85tHVu0cb+JbJhKJ+vv7b9++raioGBERIW2SnJ+fv3nzpqqqqr29PZSIWygU1tfXW1hY/PTTT25ubi0tLTk5OYmJiaDTxmAwNjY2oaGhbW1tUEQqHo/Py8uzt7fX1tZOSEggEok0Gg0k3wbfmZmZqa2tvXMBZyKRaHl5GbiOlZaW1tXVEQiEHXdfh1Q9PT2dkJDg4OBw+vTpzz777A9/+MPhw4d/+eUXFAr1wkigtwvI3JKcnGxlZWVhYeHn54dCoTIyMoqLi8fGxoAaWSxWfn7+zZs3fXx8pLeko1Ao0dHRhoaGXl5evb29Gx43nU5HIBAWFhb5+fm/WSCBSCRqbGx88OCBjY0NsDZJ236kEYvFYPX1LXo7v4mquVxubW2tjY2NgYEBCoWSfsdmZ2dv3759/fr1vLw8yGotEokmJibA8qqJiYmPjw8SiYSy+dXU1FhZWcXGxvb390MSpVKpqampjo6O9+7dk142g0hJSTEwMMBgMDvUb/H5/K6uLjgcDqL37969C3UqmwGZxrehNiFVT01NwWAwe3v769evX7ly5fLly2ZmZs7OzvHx8RgM5l1WtUQiEQqFMzMzSUlJDx8+9Pf3R6FQaDR6aGgImiyxWKzCwkI7Ozt/f38ov5dEIpmZmbl9+7aOjk56ejqITBRLRX3QaDQYDHbp0qW0tLTfLKgLmDYePHhw7Nixv/71r6qqqk1NTZsv4/P5s7OzWCx2cHDwLW6cAkV3BAUFvaqqeTxeR0cHcO1ubm6W/ivIZHJKSgoKhQLbD0HHORzOyMhIYmKiu7t7eHh4U1MTlNmzpqbm1q1bCQkJAwMDkKpB5g9ra+uIiAgoA5d0A52UlHTu3LmMjIxXLfxLIhKJBgcHg4ODFRQUPv30059++qmkpGTzuyQSiUgkUn19PQ6H24bahFTN4XBApr7JycnpX5mdnQUj8Hd5agcAJs2FhYWFhQUCgUCj0aCtTCQSCZvNLi8vd3Bw8PDwaG1thR7ryMiIvr7++fPnwf5ybDabSCRCU6y1tbWQkJATJ06kpqb+lkF/LBarvb3dxsbmwIEDampqW+YhIhAISCTyxo0bYWFhb3GIDnxFLly44O/v/6rx1WKxGKRJJJPJG8IqgeczlL9FGj6fDyoaj8dL31VXV3fv3r3o6OjW1lbIoD09PW1jY3Pt2rXCwkIajcZkMslkMp1Oh+5KSUlRVVWNjo7euX6LxWL19fXZ2dl9/vnnR44cKSws3DybW1lZKSsrMzIycnFx2Yba/Eh2pQd7Tfr4+Dg6OhYXF0O67e3tPX/+vKGh4eDgIJ1On5iYANm2wVkajRYQEKCkpJSRkfEbF5hMJvv7+6urq585c6ahoWHDWRC4cv369WPHjjk5Ob0g5/tOIhAISkpKLl68+Bp99fbS1tbm5eUFvKSgVYyxsbErV66YmJjgcDgqldrR0dHW1jY7Ows1FomJiYqKiuHh4Ts6GmUwGOHh4d99952qqmpJSckGVQuFwu7u7ocPH37zzTfXrl3bhtr8SFQNHI/z8/Pv3bsHg8Gg5rCnp0dbW1tLSys/P7+pqQmDwbS0tEBL9CsrK2FhYadPn87Ozv6NC7ywsODl5aWqqrqlqvl8fkpKioKCgpKSUnBw8AsyTu4kQqGwv78/Nja2srLy7WaemJ+fz87ODgsLi4mJgZzGx8fHL1++fO7cuczMTAwGk5ub29raisfjQV/N4XBiYmI0NDR2emWLRCIFBATs3bt3S1Vzudz8/PyLFy/u3r3byclpG/a3+khULZFIeDze0NDQzZs3XVxcoOZwZmbGzc3t6tWr4eHh2dnZTU1NIFZEIpFwOJyenh4kEnn37t3fPsMumBCqqKhsqWqJRBIdHS0nJ3f58uXS0tK3KCexWMxisYhE4tra2ls02kl+rd+AgAAXFxdoB9/l5eXHjx9bWloGBwenpqai0WgikQhExefz+/v7g4KCHBwcSktLd3Sgsbq6GhAQsHv3bhUVleLi4g2qFggEqampJ06cUFJS2h4LzsejaolEMjk5aWNjI+0xCpKEl5eXNzU19fX1gR0MwcULCwuJiYlJSUkFBQW/QfpU4AjF4XC4XC6fzwdZ4KX7arFYDFY+QVYZPz8/OTk5V1fXrq4uFou1PbbT95zFxUVPT093d/ehoSEor15vb29NTU1DQ0NnZ+fCwoL0luCJiYleXl4VFRXSu5ptC1BtAr8DAoEQEBCwZ88eaVVD69hUKjUuLk5NTc3IyAiDwXA4HOkdNl+Hj0rVeDw+KirKz8+vtbUVcugHm4yC7WmlH+Xg4KCvr29kZOTzY7y3BRqNhsPhSktLwX6aXV1dZWVl9vb2SkpKZ86cATZwPp8P1uHLysqys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</span></span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Observa-se que este
tipo de sistema consiste naqueles aplicados a sistemas de foguetes de curto
alcance, nos quais há ejeção de massa, dado o consumo de combustíveis, sendo a
velocidade inicial crescente, até que atinja uma velocidade permanente e, ao
final da jornada, devido ao consumo de combustível, a velocidade começa a se
reduzir até se tornar zero.<span style="mso-spacerun: yes;"> </span></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<span style="color: #b45f06;"><b>3ª Lei de Newton ou
Princípio da Ação e Reação</b></span> → <i>A toda ação há sempre uma reação oposta e de
igual intensidade: ou as ações mútuas de dois corpos um sobre o outro são
sempre iguais e dirigidas em sentidos opostos.</i><span style="mso-bidi-font-style: italic;"></span></div>
<br /><br />
<div style="text-align: justify;">
</div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
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<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
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<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
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<span style="mso-bidi-font-style: italic;">Ou seja, as forças atuam sempre em pares,
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<br /></div>
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<span style="mso-spacerun: yes;"> </span>Se um corpo <i>A</i> exerce uma força em um
corpo <i>B</i>, o corpo <i>B</i> simultaneamente exerce uma força de mesma
magnitude no corpo <i>A</i>, sendo que ambas as forças possuem mesma direção,
porém em sentidos contrários.</div>
<br />
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-90914108778230673632013-12-24T22:35:00.001-02:002013-12-24T22:35:15.049-02:00O UNIVERSO DOS TÁQUIONS - Parte 12 - Velocidade de dobra<!--[if gte mso 9]><xml>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
VELOCIDADE DE DOBRA</span></b></div>
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<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">1 - Introdução:</span></b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
velocidade de dobra ou <i style="mso-bidi-font-style: normal;">faster than light</i>
(FTL) surge no mundo da ficção científica de Star Trek, sendo uma forma de
propulsão de naves espaciais que possibilita romper a barreira da velocidade da
luz.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
velocidade de dobra proposta em Star Trek evita os problemas de dilatação do
tempo e possibilita superar a <span style="mso-spacerun: yes;"> </span>velocidade
limite do universo, em torno de 300 mil Km/s, ambos descritos na Teoria da Relatividade
Restrita (TRR), formulada por Albert Einstein, em 1905.</span></div>
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o tema velocidade de dobra tem sido seriamente discutido entre os físicos como
um meio de propulsão para possibilitar as viagens espaciais, uma vez que as
distâncias a serem cobertas nessas viagens assume valores incomensuráveis,
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Este
meio de propulsão foi proposto pelo físico Miguel Alcubierre Moya, sendo um
modelo matemático teórico para uma forma de viagem espacial mais rápida que a
luz.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Atualmente,
o modelo de Alcubierre está sendo pesquisado pelo Dr. Harold “Sonny” White,
chefe do Tema de Propulsão Avançada do Engineering Directorate da NASA.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">2 - Obstáculos a serem enfrentados
em altas velocidades:</span></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
TRR demonstra que quanto mais os corpos são acelerados, sua massa aumenta da
seguinte forma:</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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mso-tstyle-rowband-size:0;
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</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Onde:</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">m = massa relativística;</span></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span>m<sub>0</sub> = massa de repouso;</span></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">v = velocidade do corpo;</span></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">c = velocidade da luz no
vácuo.</span></b></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Assim,
quando se aplica em um corpo uma força de intensidade F, este corpo adquire
velocidade, que pode ser aumentada indefinidamente.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Caso
o corpo atinja a velocidade da luz no vácuo, a força não mais seria capaz de
acelerá-lo, pelo fato de ter sido atingida a velocidade limite, conforme
proposta pela TRR.</span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Portanto,
a inércia desse corpo apresenta valor finito e quanto mais se aumenta sua
velocidade do corpo, maior a sua inércia, que, à velocidade da luz assumirá um
valor infinito. </span></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Ou
seja:</span></div>
<br /><br />
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">A
massa de um corpo representa a inércia do corpo. Dessa forma, m0<b> </b>corresponde
à massa do corpo em repouso em relação a um sistema de referencia inercial e m é
sua massa quando dotado de velocidade v. </span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #00b050; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Mas por que a luz
consegue se deslocar a essa velocidade?</span></b></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #0070c0; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">É porque fótons não
possuem massa!!!</span></b></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Logo,
atingida a velocidade c, a massa relativística se tornaria infinita, e, de modo
a se acelerar mais e mais o corpo, o processo demandaria uma força infinita, o
que torna impossível uma viagem espacial nos moldes propostos por Star Trek.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span>Ou seja, em termos práticos, para ir daqui a
Alfa Centauri demoraríamos 4,3 anos e para atingirmos o centro da galáxia 25
mil anos!!! </span></div>
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<![endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Outro
ponto a ser solucionado é a Terceira Lei de Newton ou Princípio da Ação e
Reação.</span>
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<b><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">4 - Finalmente, em quarto lugar,
deixando de lado outros ramos do conhecimento, alguns grupos de engenheiros,
entre eles, os chefiados respectivamente por Jian-yu Lu, Amr Shaarawi e Peeter
Saari descobriram, em uma série de belos trabalhos, que as equações que
descrevem o comportamento das ondas, tanto mecânicas (som, por exemplo) quanto
eletromagnéticas (luz), admitem novas soluções, tanto subluminais quanto
superluminais, além daquelas já conhecidas. </span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
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" /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
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<b><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Esses trabalhos indicam a possibilidade
de existência de ondas localizadas superluminais – ou supersônicas –, que
segundo a relatividade estendida, teriam a forma de ‘X’, como foi previsto em
1980. No esquema acima, está uma previsão teórica de ondas superluminais
localizadas em forma de ‘X’ para o caso eletromagnético.</span></b></div>
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<b><span style="color: blue;">A figura abaixo
demonstra esquema óptico do experimento que mostrou a produção no vácuo, com
luz visível, das ondas descritas teoricamente na figura anterior. Observam-se à
direita, representadas pelas linhas que formam ‘X’, as ondas superluminais
(ondas ‘X’), que perseguem e alcançam as ondas planas, representadas pelas
linhas verticais – as quais viajam regularmente com velocidade c. Um
experimento análogo foi feito com microondas em Florença (Itália).</span></b></div>
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<b><span style="color: blue;"><img alt="" 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" /> </span></b></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">O trabalho<i> </i></span><b><i><span style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">“<a href="http://lib.tkk.fi/Diss/2003/isbn9512262932/article4.pdf"><span style="color: blue;">OrtogonalX-waves</span></a>” de Janne Salo, Ari T Friberg e
Martti M Saloma</span></i></b><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">, demonstra que o pulso superluminal resulta </span><span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">da
superposição das frentes de onda cônicas, limitando a velocidade do sinal à velocidade da
luz no vácuo.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Uma condição para
a ortogonalidade de forma a originar pulsos não difratáveis e para apresentar
um conjunto ortogonal de ondas X que possuem espectro temporal na forma
polinomial em </span><span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-style: italic; mso-fareast-font-family: MTMI; mso-fareast-language: PT-BR;">ω, dada por </span><span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">e</span><sup><span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: MTSY; mso-fareast-language: PT-BR;">−</span></sup><i><sup><span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: MTMI; mso-fareast-language: PT-BR;">αω</span></sup></i><span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
é dado pelo “Pulso de Bessel em X” e pelas “Transformações de ondas em X”,
apresentados na forma das “ondas ortogonais em X”.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Entre a família
infinita de soluções superluminais exatas das equações de Maxwell, estão as
ondas conhecidas como ondas-X.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><span style="mso-spacerun: yes;"> </span>As ondas-X escalares foram medidas
experimentalmente por Lu e Greenleaf em 1992, subsequentemente, Lu demonstrou
que o pico de uma aproximação da abertura finita para uma onda acústica X pode
viajar a uma velocidade maior do que o parâmetro da velocidade de som constante
da equação de onda homogênea.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Rodrigues e Lu,
também realizaram várias simulações para a propagação de ondas-X, demonstrando
que os seus picos pode mover-se com velocidade superluminal; efeito
posteriormente verificado por Saari e Reivelt .</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Estes resultados
não violam a relatividade especial , porque todas as ondas-X superluminais
produzidas têm frentes de onda que viajam com o parâmetro velocidade c (velocidade da luz), presente na equação de onda correspondente.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><span style="mso-spacerun: yes;"> </span>O movimento superluminal do pico é, portanto,
um fenômeno transitório semelhante ao fenômeno reformulação que ocorre, em
condições muito especiais, para ondas em meios dispersivos com absorção ou
ganho e que é, neste caso, responsável por velocidades de grupo superluminais
(ou mesmo negativo).</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br />
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Nos últimos anos,
dois tipos de movimento ondulatório superluminais foram previstos teoricamente
e verificados experimentalmente: </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<b><span lang="PT" style="color: red; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">1 -<span style="mso-spacerun: yes;"> </span>velocidades de grupo superluminais,
observadas na propagação de ondas eletromagnéticas em meios dispersivos, de
tunelamento de elétrons e de microondas e na propagação de microondas no ar;</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<b><span lang="PT" style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">2 - movimento
superluminal de aproximações de abertura finitas para soluções superluminais
das equações de Maxwell no vácuo.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">O tema está
explicado no trabalho “<b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><a href="http://www.ime.unicamp.br/rel_pesq/1999/ps/rp59-99.pdf"><span style="color: blue;">What is superluminal wave motion</span></a></i></b>” conforme
segue:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">A origem das
velocidades de grupo superluminais nestes dois casos é um fenômeno chamado de
pulso reformulado, que explica naturalmente quase todas as velocidades de grupo
superluminais encontradas (em condições adequadas)<span style="mso-spacerun: yes;"> </span>também na propagação de ondas em meios
dispersivos .<span style="mso-spacerun: yes;"> </span>O pulso reformuado não
implica na violação da causalidade ou na violação do princípio da teoria da
relatividade de que a velocidade limite para o universo é a velocidade da luz.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
É fundamental para a compreensão do significado das experiências que mostram
velocidades de grupo superluminais<span style="mso-spacerun: yes;">
</span>entender conceito de sinal. A partir do ponto de vista teórico,<span style="mso-spacerun: yes;"> </span>demonstra-se que as ondas de banda de freqüência
limitadas não tem começo nem fim no domínio temporal.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Para estas ondas
(desde que em condições adequadas), podem estar associadas velocidades
superluminais genuínas, porque estas ondas não possuem frentes, diferentemente
do que ocorrem com as ondas de banda de freqüência largas (isto é, infinito)
que são limitadas no domínio do tempo (sinais Brillouin-Sommerfeld) e cujas
frentes propagam-se com a velocidade da luz no vácuo, pelo menos no
tocante<span style="mso-spacerun: yes;"> </span>ameios dispersivos.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">No trabalho acima
mostrou-se que um genuíno movimento de onda eletromagnética superluminal, ou seja,
que não podem ser atribuída ao<span style="mso-spacerun: yes;"> </span>fenômeno
de pulso reformulado (ou análogo) viola o princípio da relatividade. </span><br />
<br />
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">No
entanto, nenhuma das experiências analisadas no trabalho implicou qualquer
violação do referido princípio.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify;">
<span lang="PT" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"></span></div>
<b><span style="color: #38761d; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Vale ainda ver os trabalhos
"<a href="http://arxiv.org/pdf/0704.0442v1.pdf"><span style="color: blue;">Quantum
electromagnetic X-waves</span></a> " e "<a href="http://arxiv.org/pdf/0708.1655v2.pdf"><span style="color: blue;">Localized
waves: a storical and scientific introduction</span></a>".</span></b><br />
<br />
<b><span style="color: #38761d; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"> </span><span style="color: cyan; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></b>Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-72666863789264347042013-11-15T16:14:00.000-02:002013-11-15T16:14:09.292-02:00O UNIVERSO DOS TÁQUIONS - Parte 10<div style="text-align: justify;">
<span id="result_box" lang="pt"><span id="result_box" lang="pt"><span id="result_box" lang="pt"><br /></span></span></span></div>
<div style="text-align: center;">
<b></b></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">CRÍTICAS
DE WINFUL À VELOCIDADE SUPERLUMINAL:</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">As críticas realizadas nesta postagem, acerca da não
ocorrência de velocidades superluminais no fenômeno de tunelamento quântico são
baseadas nos seguintes artigos:</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhS-SqjqV7uFzTFXvaihVpgchu0amLSV6fJEMueCzNGG3pdnc-FtYnBflijnOiqmoUtTTFzjCidjpWl8CkJmKygTTLES3Iu3XtUOWsAnAb3ZiiVSe3fIEFTd1eNqQ3S5SZMr7ccAtxbNNA/s1600/quantum-tunneling-characteristics-small.jpg"><span style="color: blue;"><br />
</span></a></span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><i><span lang="EN-US" style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";">Tunneling
time, the Hartman effect, and superluminality: A proposed resolution of an old
paradox</span></i></b><b><span lang="EN-US" style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";"> (</span></b><b><span style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><a href="http://www.sitemaker.umich.edu/herbert.winful/files/physics_reports_review_article__2006_.pdf"><span lang="EN-US" style="color: blue; mso-ansi-language: EN-US;">aqui</span></a></span></b><b><span lang="EN-US" style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";">)
; </span></b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";"></span></div>
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<b><span lang="EN-US" style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";"><br />
<i>Energy storage in superluminal barrier tunneling: Origin of the
“Hartman effect”</i> (</span></b><b><span style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><a href="http://sitemaker.umich.edu/herbert.winful/files/winful_origin_of_hartman_effect.pdf"><span lang="EN-US" style="color: blue; mso-ansi-language: EN-US;">aqui</span></a></span></b><b><span lang="EN-US" style="color: #cc0000; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";">).</span></b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";"></span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Lembrando que o efeito Hartman (ver <a href="http://arxiv.org/pdf/1209.0993v2.pdf"><span style="color: blue;">aqui</span></a>
e, todos os trabalhos <a href="http://arxiv.org/find/all/1/ti:+AND+hartman+effect/0/1/0/all/0/1"><span style="color: blue;">aqui</span></a>) prevê uma saturação no tempo de
tunelamento, independentemente da largura das barreiras opacas.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">De acordo com o site
da Sociedade Brasileira pelo Progresso da Ciência - SBPC (<a href="http://www.sbpcnet.org.br/livro/61ra/resumos/resumos/4579.htm"><span style="color: blue;">aqui</span></a>), em experimentos com tunelamento óptico
tem-se observado uma velocidade superluminal.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<br /></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O experimento
realizado por Chio-Stemberg na Universidade de Berkeley, USA, ao utilizar
fótons idênticos passando por dois caminhos ópticos de mesma distância, ocorreu
que em um dos caminhos ópticos foi colocada uma barreira semicondutora.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O interferômetro de
Hong-Ou-Mandel detectou que os fótons que passavam
através da barreira semicondutora chegavam antes dos fótons
que viajaram apenas no vácuo, isto é, teriam velocidade de grupo superior a
velocidade da luz no vácuo.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Todavia para Winful, o tema em torno do tunelamento quântico
possui muitas controvérsias, principalmente no que se refere às previsões de
velocidades superluminais.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSPVQ8S6TwfuyM9ODmS9Q5Fzbbj7aEIV1FtdeIUpyQBuolnaq85Uu0bDmIuxr0uE3eTx_P0CkpSMXPkqnbnP6rddJ1Dxudaqyyr1_iEHo_rJsayLmfz1mwG2gn7kbXU62ED7LMciexE10/s1600/winful_herbert_v2b.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="199" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSPVQ8S6TwfuyM9ODmS9Q5Fzbbj7aEIV1FtdeIUpyQBuolnaq85Uu0bDmIuxr0uE3eTx_P0CkpSMXPkqnbnP6rddJ1Dxudaqyyr1_iEHo_rJsayLmfz1mwG2gn7kbXU62ED7LMciexE10/s320/winful_herbert_v2b.jpg" width="320" /></a></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Quanto tempo demora
para uma partícula ou pacote de ondas de tunelar-se através de uma barreira?</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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Esta questão tem ocupado os físicos desde os primórdios da mecânica quântica,
quando foi sugerido que o processo era instantâneo.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">No tunelamento, uma
partícula com energia insuficiente para passar por cima de uma barreira de
potencial classicamente impenetrável poderia, no entanto, acabar cruzando esta
barreira e sair do outro lado, embora com a probabilidade pra tal seja pequena.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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Este processo é a base para aparelhos como o microscópio de tunelamento, que
permite imagens com resolução em escala atômica. Este problema também está na
origem de fenômenos como o decaimento alfa, o que desencadeia a fissão nuclear.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Portanto, resolver a
questão do tempo de tunelamento é de importância fundamental e prática para a
física e para a tecnologia.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Vários experimentos
foram realizados para determinar o tempo de tunelamento, utilizando-se fótons
individuais ou pulsos eletromagnéticos clássicos que podem tunelar-se por
regiões não permitidas, na forma de ondas evanescentes .</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Estas medições
mostram que o pico do pacote de ondas de tunelamento atenuadas aparece na saída
de uma barreira mais cedo do que o pico de um pacote de ondas que
percorreu uma distância igual em espaço livre.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Uma vez que o pacote
de ondas no espaço livre desloca-se com a velocidade da luz c , a conclusão
amplamente aceite a partir destas experiências , tem sido que um pacote de
ondas tuneladas viaja com velocidade de grupo superluminal (mais rapidamente do
que a luz ).</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Um resultado ainda
mais surpreendente é que o tempo de tunelamento, medido pela chegada do pico,
torna-se independente do comprimento da barreira para barreiras de espessura
suficientemente largas ( veja a figura abaixo):</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY1hrILRdAG9zTscGSxX1gtQMMD_RSVxOO0te_cFj7bu_TSUjHR_Q9uljn_CIfmTCJ5YXEkyc64RO68y7yr-KT5YsXfTGtbwibWm2QNm3G4hZNkBOA-P94Q5eOuprF65hzTUlRT6uFLYQ/s1600/0927_fig1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="254" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgY1hrILRdAG9zTscGSxX1gtQMMD_RSVxOO0te_cFj7bu_TSUjHR_Q9uljn_CIfmTCJ5YXEkyc64RO68y7yr-KT5YsXfTGtbwibWm2QNm3G4hZNkBOA-P94Q5eOuprF65hzTUlRT6uFLYQ/s320/0927_fig1.jpg" width="320" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6gXcx2E_q0mwxJoBNEF7l629fcHGHv0ZotG62_5zFrZ6px-RpNslfJ11owMtO8q8EDbLv3QdqXDNPEYRZejnxObNlv3Y0EfuY3sDz7E75VevpMj_RpAE_-cVYSz_J6ak_RJPhNMmQiio/s1600/0927_fig1.jpg"><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"></span></span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">A figura acima
representa o efeito Hartman em que o tempo de tunelamento (atraso de grupo) de
um pacote de ondas satura-se em razão do comprimento da barreira.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Esse fenômeno, foi
previsto por Thomas Hartman em 1962, sendo chamado de “efeito Hartman”, o qual
tem sido observado em vários experimentos. Este fenômeno consiste no cerne do
enigma acerca do tempo de tunelamento.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Uma previsão
referente ao denominado efeito Hartman, afirma que o tempo de tunelamento
torna-se independente do comprimento da barreira no que se refere a barreiras
grossas o suficiente, o que resulta em velocidades de tunelamento ilimitadas.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Experimentos feitos
com "fótons individuais", ondas de luz clássicas e microondas parecem
demonstrar esta velocidade superluminal aparente. A origem destes efeitos
paradoxais foi um mistério durante décadas. </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Mas como o pacote de
ondas poderia saber que o comprimento de barreira teria sido aumentado e,
assim, acelerar e cobrir a distancia majorada no mesmo tempo?</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"><br />
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">O trabalho de Winful resolve este
mistério pela introdução de um novo paradigma, denominado como atraso de grupo
no tunelamento que é o tempo de vida de energia armazenada para escapar através
de ambas as extremidades da barreira. Não se trata do tempo de trânsito a
partir da entrada para a saída da barreira, tal como tem sido assumido ao longo
de décadas .</span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O autor mostra como
esse novo entendimento, em conjunto com o conceito de armazenamento de energia
e sua liberação resolve todos os notáveis paradoxos relacionados ao tempo de
tunelamento.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">ha que se compreender
que a barreira onde o tunelamento ocorre </span><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">funciona como um
filtro (por exemplo, um espelho dielétrico de multicamadas), que rejeita uma
gama de frequências que se encontra dentro de sua “banda de pausa”, durante a
transmissão de freqüências fora desta faixa.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">De acordo com a
física clássica, uma partícula de energia E inferior ao U<sub>0</sub> referente
à altura de uma barreira não poderia penetrar a região dentro da barreira o que
é, de acordo com a física classica proibido.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Mas a função de
onda associada a uma partícula livre deve ser contínua na barreira e irá
mostrar um decaimento exponencial quando dentro da barreira. A função de onda
também deverá ser contínua do outro lado dessa barreira, de modo a que haja uma
probabilidade finita de que a partícula irá tunelar-se através dessa barreira.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Figura 1:</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdxmTcAGLuvo8EjkJniA19y29E7N82dvM1j54k5G40aapWHywUAhe4bD7eB2KXRIsjUSFu8ka0BXE93Mmt9c55WxYx95QKHnpSEQ9Xwc3TE2BI8P3iJ70GwN6XTZOcUOSsX8v2dAKN6n4/s1600/barr.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdxmTcAGLuvo8EjkJniA19y29E7N82dvM1j54k5G40aapWHywUAhe4bD7eB2KXRIsjUSFu8ka0BXE93Mmt9c55WxYx95QKHnpSEQ9Xwc3TE2BI8P3iJ70GwN6XTZOcUOSsX8v2dAKN6n4/s1600/barr.gif" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIsZmXXz1DFBV64aRKmqhEymOTu4DHTX8vwgVWOmwoK5l66MTd2Lu5PAyO_HdbECgWmaiLRlmb4wcJ47Ypxs3pGnnBqSa9ETbsipRKcpvFIFHySlvVAQkBe8zWFypGkSQm9TrLLMLboPE/s1600/barr.gif"><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"></span></span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">À medida que
uma partícula se aproxima da barreira, essa partícula é descrita por uma
função de onda de partícula livre, cuja função é dada por:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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" 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<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";"> e, na
forma complexa assume a identidade:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" 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" /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">Quando atinge a
barreira, ele deve satisfazer a equação de Schrödinger na forma:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" 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" 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<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Cuja solução é dada por:</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" 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gAAuDTZSVdyMpL9b7nTbpIvMUzKBYVoRrI4yWeP8dhjS1yaZoVj+duOIiaNuKOxMC8zfhWh0AAkjXRgK45+se3tN1+JvXx8bBBP6W89Hrzjue//a/Cej0mEdhKxIynm9L//6qfbP3iTMYIFwOyPTZ2IKmTi0uPPZyVeyEkKf7ik3AxtvZOiWsBD9m96+nc/kMNYWpAWf/WsWsIGAJw/f+7l//uLkKMHH6jmsWt6m/PLsqNv3zi7skCWc3v/8PKvw07sNUjGv87q/SAcWufJQzs3b95sMSjdNvVoX21ecsSx4B3hoQd6OnHzk52yxTHI41bJhDLJImOsdWroDq6u8M9//H11ZanDMGcQjyLI6h9Ee13myxHnYqJCYevKqo2s1rdJLVtiMWgahRDAdgAQANsAYnHaVr/U/lGsCFgzo41zk30Om2mNpoTCpbDQQ6PDfo0WYdjLGe8k40vrq3N9R8LOnLqVcH2NbfgqyNIMkTFY01CTC0FPfDsOgJhhq2SG0nIwaOdfXnvl1JFdCdEnXvvTS9/5x//65mu/vxJ28Oyx3W/8x+8uhB4awVd77P7m0JgVs5OD9Rm3IjNuR2UlXXm4pMaFN5Sn8hhdXpe/SXYj+Pqi9Ki8jHiXw+K0m2NjIn75sxe3bn3bbNTeGwDDsGOos/TTjzbfiDqpV8y7rJq2upytm/9063ooYhM+/qsw83OSLn3+yV8H2vJ5dGx6/LmcpEtEXHHYyb3hp/eN9VZA1hWzQdPdmE3AZvXh8lb4UwIB/82//Dkj/px8vscgZT0qGgd5XBaj1mjQ+iYFMOyF3A4E9sKQy+0wm01GGPbIFocLUi8lxF5x2k0GncZi0nvcd+ddXo/TaTfazHqH3YogsMdl12lURoPW5bColPJ7qvC4rDaL3mrWu13+T9hgq04ySarqbcwszogaaMsTcUdhyMWhdynnewSc0Qdrw16TQWfQa/Q69aOKQa+xWR950xfN0xkjWI/Lsfa9BKQr4qSb4Uz6EOLHQisE8cp4NGJLXkVROgDA7bQnxUYW5aWusQ1fcQHDLHIHl9ow0otZRTQ0IOmcCOJ1ymXSeS6HgCvprs/46N3X/uk7/7j9gzdri2IXxptmx7u1GpXXY/ffIux1u51Wk1FnNurNpq8pJqPOZjF6XHbg37jUYbcfP7L/ZuRRPDabOYql92MSr4X+8Pnvvf3mH3ksAgB3p82LC9ydH/911ydbOtqavJB1YrAuZP8nkWf3Myh9wK+BK6QUMQjN2YWpkc1VSbOjGJ18zqRdGWovnBqoki6xAPAadcrO+nQKvpTDGII8LovJiClLnh2rU4mnvNAjJaRVigi4orSEy4vzHACAYpk/Rmq0GLVOo3B+sh3XUGEy6obxmOKMqDsl8SwytjAzprU2SypkAwBgyLnIJM6O43qwBb2dDZDLLl2kZty6XJoVyxxtSrh+fnqsGQCbzaSapeJoA3W4O5mT4/6GNuwGcWNF8hefvddceUvJ7enDZuekxy9LxCeO7i9MjZyh9z1Q36DXVBWnFGfe+Np7dFbSlZzkKyU5N/u6mh7lcWF6dAR/B3p02NJ/9FpVY0XSPA2nV/AeXxsAyO3AVOVnpcTazHoOvYfYnDfWH8hHrRAEtTWUzlHqFALKKk4PcG62266XzI2En9r3/A++e/roLi5rDADbM4+sms0mYhfmZuRxTHEsl9ognMLx6M1lOVd/8b9/vPXNP5J7y4HXDgAwaqRF2Yk/fP77u7e/nZd+M/VWNKY4FleTxGdT3C6b3968bpt6bpbBX5gF7rsr5txWNeLSez0uAIDH7VRKBXqV2GG3AABgL2Q1yCGH1uWwfINRh83U39v61zf/SCL2AeDqaMjf9t5bErHQ67aOERtrilJUSllhdkJa3LnJ/soVdkdO0sWaghg+d8rltEwMtdQU3FhkU8qL0i+FnXLYjDoROS3uXEL0yXlqY3Plbflcj2JpZBhfgym9xZubuHLxZGFOmp+ftrO1/uKpfUcO7OTOjAPYPNDbdOPKqYKshDf/8kp+dpovaHI/aqUsIfp4WXb0186ecpLCc5MvluderS3LeJRHynB3XXm6w+7/f+SReFxWwRROxu7iMIb8PIUxTupvK5il4Ma6i5c4FIsxAAnb95ObHkfsvAO7/ZqNPkDgF1ropJy4qOMv/vj5i2e+UMqXV2dErxC0N9ec/0ZuJcZO00he92P/qV4pn37xdBC+tUY4T5csTkoWJ0ULEwMdpXt3vvPSv/+8Mj/WYTUAANhMctiJPb/++YsFKZeI7WU15QWELqxJtbi6jxBwFhcXX375ZTKZjECG2qKb/+/3L+l0OgBZ5fzRWUqbRqMJOXqwOCNKON3LovefOrKnA5NmUjCYlJ7kG6drCmJ6O+rK8m9XF6c57WYekxB5dn/oiYM8NoXHppglYwOteZkJ57E16d1tdRmJEYSuen+apJELToQEf/rR5r6WXF/IjTkxeiUseO/Od1Nizyxyph4+xW6zjo8RyYPdXxvXHCJ2DJE6yEM9XDbjUU4JPc25qTE26zfd+/wGdpsko/iK0QF/0x/cNp1JNS+ap86xRmzWtU7aH2iM0yiuLb7d2oxZ3fmBF7NaxLoRGfKTHz0XHhq06l2aFCJWfkbs69/I/n2fD3djIMdj5swWs3xmFBN+OojF/Mq1pZfzIi+c/NlPf3j14jGdRgEA6OvtfHfLq1tef4U2gAXgyyC522l22QP7b1sNMzMzm1//c0F+jnie3IlJCw7awZ2h60QUs5zstYqlIu77W7cUZcV6bKoFDuP9rZsHezBe02xdcdzuHW/TiRUdDflDvfV2o9jpsNRVZFw+dyA38+58TyOk3LwUcunMF8yhmobqnBkaHnL4E1ZERvvq9u58Z/uHb2skd/Ptp2hDxw5sf/WV35K6a4DX+jS+h/HR3qbqzID0zD762ipmqB0uW4D72CfF5TTPUZtErDb2lL/DhAcIvJg1Etb1iCMvPPe9cyf2yFceHzT6WhAEdrtctm/E4bB7Ic9jxvCId2QQHxV2sLYkSad+YM8XODkp8fnnvnswaIdKIQMA9HS2fvL+G5tf+wNz4u6MxeW0mYwa+eKgQc5e3QcJIEtL/J3b3juw58OhzlISrmjPp+80lCawRhv4cxOw10EhVOzZsbWtrRVBvIyBmp3btpDHhpbmqCk3zpw7EUQmVDtNMthjg9x2vV4fdu5odX7MDI3os0xoq7hyPjglNkw40+9x6CGXBfI8PgAGw9475ZkHdn8QcuTQ31bSe9uaMQd2f3DpbLB8mQeA515u3D0gCNJoNMrHYTQ+8h4t5NImhxrvxfbWzuLMiENBt6g4gTK4OixmHRFXaJWSgdvfBzQPEGgxI4hknnr5/IEf//D7Ift3CPlcBEGe4ZzZquXlpUa/+qdXlvjzX1l6iSCIS5pxK+Kf/+k7W958VcDnAQDmZsZPHPr0Vz9/sTT7ptOishpVw12V7XW5QgYOMgdmi+a1sCTg79v1YUb8+SUubYpODtr1buLVk6yJYYfDrlFJK3KupsaeYUyNWwzKnoaM6PBDrbU5vU35abFnb0afXRYtIM4VxMSR8qckYvHWrVtaa5IhhwQAAEGepju52bculBdnOC0at46jl1BWlh5/84I8nuzUmwf3fhR16YLviEHOib4Y8srvfoOrSjJIyLBlzvlQgpRSIb8YdvJI8GcHg3Y9qhw9+HlxQdaj/PLYY2QixuN2IAiCIPAaQRDY5bDCbqvHafGv/pcX81p9fxWnVSdhE1wmCQDQ6nL4Ailm2AsJ56j4xtzYqGMhB7Zfu3i4FZNrWJnwmMUB9OI3Xqd+cXasriAt8sgX20aJWKv57n6LiNellTAW6Nia/Jigz947d3x3d3OJVil22EzD/V37d78ffeFQxLmjTdUZwx2FXNaYRbcM4ID1A6tGuixMi7swPtTpcTmW+PP1JXGMwWqDWgIAkK0sNVfdWpzAGjRi5coitvJWcUbU0hTOqx3va845dWQXrr5YxOwwrtBNWqGYM5h08wx1sM0Xw4dhSMDq7axLjzh7mDbYLON0GaQs00OBq4eBvVBjddaZkM9Pnz4FAEDc8uqCuOiwg4nRJ9PjztUWxS7ODECOB58za9WKnFsRnZi0+pL4ry0NpQld9eltDcX3TrHoV0b6sAlxNxwOBwCAOtzTUJNjsxgkixMjvXXVpel3yrPuVKy+NNTkYSrz6qry/LGDqcytry5svFOEqc6vLc9ei98HSm1ZakNZQk1pSlVpBrGzhjtF8mV3+k9AxQx7l/lMBpXQ14Md6e8YIOAoQx1m+SxkDfgyQ7+a4zKJRFxqXzd2ikJgjRNs5ruxZRhy6eUcAXtshNQ+OtBBHelmUPAGrQwAAMMQdaS3qqIwPSWhv6dRKpx5Fi3/euw2E49Dt1qMAACLSSsTTCH2ZYA4AQBWi5HPoTgNfAA7zEYtk0YkD3WpJNMIrBIv0JsbqoYIzRIe3WLSAICYFRyFkKG9f5cst4bLHMHWlTOpeMnChP/X0PISOzM5OuTw7q7mqtHuInxjZndzMW2oLeLMF6VZ0dxZ+sOnQB6XennOKJtTilhfW1TiaZOSa9KI752iEjMm+ytPH945xxwGwNOHb83PjLOYDDLhzMRoV0tDeTu2qr356RdsRSeutqk6s7nyVmXetdHuInxreUBdVHfgMB3NNS0N5eSBNgGH4kvv9x902yCUNcGZoWPKMzNTrpUVJAnZJACsMpm0ujRzkUFwWdUBcWHWipkj2E5M2iK9yesx0ikD9ZWZTseT9VqBAXbJBeMTpIquujQSLtekeya91CNBxYyyJhAE9nhcDofd6XQg8N1cVI/Hfe91QHzoVSLmYDWtr0KrlEj4LNpgo9v1ZL3WatzCkMNudbsc96av+pXJufHmnqa8hoqk7R++RcD3PO02PBGomFHWAbDHJGa11RbFznOmBdxJUnvFUxcz7OCxelPiI7E12Ualb3UQYlqhaiUTRr2Ky2bt37Ojs73lMUa+XVAxo6wLIKWYnZYQwZikTtGGqktSAvic+WGcVrVFzpjsr/rkgzcSok9IOb0qyYwXcnvsWgSyAwC0y4zMhPNU8t/Xjm6omFHWByqlKvFG+ARtjE7pL8lLtNueSkaKD6uGB3S0+pL43//2l2dDPtcLiBJ2772/Oi3K2bE6FrVXqwlMUCBQoGJGWR+olPLk+EuMyfFF9kR7ff5TDYC5raolFj43KSJ4z4dZiRcmiJWkthKFVAAAsFktXNbwYFeZXil02bQux2qSqJ8SqJhR1gdajbIwI4Y5MSYXTk8OY59kkeYTgyCwVLyYnRyRlxxBwGYXp18+cejTxqpUi15GG+3DFN0k4fJGOkt4kx0aaWB+IzogoGJGWR+YTfqmqvT+9tKZMewMteMbdm4LCAvz3LPH9hZnRE32V2KKY88d311TeGOGgsVWp2QknC9Kv1yadYXDGHJ/41q3bxlUzCjrA6fd0t9a1NOYgW/KmqF0+P+7rauDzWb/7qXflGVdUYqnutoazh7bTektlQloAu4kjTw4MT5MowwaDGv6UciAg4oZZX3ghdySxcnkuPDq/Jg5WjtYw/5Kj/fltvZ2YV944bn66jwA3ISu5o/e37wwvcrFTN8aqJhR1hMRF89l3o5QCCef6uod1fJcXXHcR+9tnudynQ5dV33Gnl3bpBKBn9vaPCtQMaOsJ0JPHo25eulpj7Gpo32lWVfyki/rNAruNLk0KzopJpQzjkPcAfhV16cHKmaUdQMMwxfOHo+9Hv20HXW0NWXfDh/tLoVcZupwd2zUsaSYUN5kM+L++5okPwAqZpR1AwzDKQlRhXlPsFX16lgS8Bj0Yb1SAIBXIRWThwmjQwStfBHAf9e/BIaKGWXdgCAIndI/zSA/64b8nYKKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg4CKGQVlg/D/Af534jZ5DM6dAAAAAElFTkSuQmCC" /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">A fim de
utilizar-se o cálculo da função de onda a partir da equação de Schrodinger para
determinar o valor de qualquer observação física, deve-se proceder à
normalização para que a probabilidade integrada sobre todo o espaço seja
igual a um.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Isso ocorre devido ao fato de a função de onda representar a mplitude d
eprobabilidade de se encontrar uma partícula em um dado ponto do espaço em
determinado tempo. a verdadeira probabilidade de se encontrar a partícula é
dada pelo produto da função de onda com seu conjugado complexo, tal como o quadrado
da amplitude de uma função complexa, conforme segue:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" 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" /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> Dessa forma, a probabilidad edeve ser igual a 1, para que se encontre
a partícula em qualquer lugar, o que leva à obrigatoriedade de normalização da
função de onda, representada pela soma das probabilidades de todo o espaço, e
representada pela integral:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" src="data:image/png;base64,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" /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Para um pulso a ser tunelado, o seu espectro deve ser suficientemente
estreito, de modo a se encaixar perfeitamente no interior da faixa de pausa,
conforme mostrado na figura abaixo:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> Figura 2:</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7XZ8Jy_Yieg-kwozCo0F22NzSVGtvffxlrAYU9vouTM7i2n3sAFF8up9aPtaxs81zuek0tZ8Q6RzB0_xnIqlPyEVow1JR-ZrpGVWFDxIUzCcN6574630B5gp62zd98An7AhfMGAWJK28/s1600/0927_fig2.jpg"><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"></span></span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" 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" /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Curva Preto: Transmissão de uma barreira como uma função da frequência de
sintonização da frequência central (frequência de Bragg).</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> <span style="color: red;">A banda parada é a região de baixa
transmissão (entre -5 e 5).</span><span style="color: blue;"> </span></span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="color: blue; font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Curva Azul: atraso de grupo normalizado; é o mesmo que a energia
armazenada normalizada.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="color: blue; font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span></b><b><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O atraso de espaço livre normalizado sendo a energia
armazenada igual a 1.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> Na faixa de parada, o atraso barreira e energia armazenada são
menores do que os valores de espaço livre.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Um espectro estreito significa que o pulso é longo no tempo e tem uma
extensão espacial maior do que o comprimento da barreira. Como resultado, a
barreira é, essencialmente, um elemento aglomerado, em relação ao pacote de
pulso, o que leva a uma interação quasi-estática.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Quando um pulso longo incide sobre um obstáculo, forma-se uma onda
estacionária na frente da barreira, como resultado da interferência entre as
ondas incidentes e refletidas. Dentro da barreira há uma onda evanescente, que
é também uma onda estacionária, cuja amplitude de decaimento é exponencial .</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Em uma onda
estacionária, o campo em cada ponto espacial oscila para cima e para baixo com
a mesma fase, e toda a estrutura distribuída age como se fosse um elemento
aglomerado. Na realidade, devido ao fato dessa onda evanescente estar em
permanente contato com as fronteiras de transmissão, a energia que essa onda
armazena pode fluir através dessas fronteiras.</span><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Este armazenamento e
libertação de energia conduzem a um atraso de tempo e, por consequência, a uma
mudança de fase entre a saída e entrada. Para uma barreira suficientemente
longa, a função de transmissão de amplitude é dada pela fórmula:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" src="data:image/png;base64,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" /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman";">O atraso de
grupo é o derivado de mudança de transmissão de fase com relação à frequência:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" src="data:image/png;base64,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" /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Esta equação nos diz o tempo em que o campo transmitido atinge um pico na
saída. A transmissão e o atraso de grupo são apresentados na Figura 2. Nota-se
que dentro do intervalo de pausa o atraso de grupo é menor do que aquele de um
pulso no espaço livre.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Um resultado interessante é que o atraso de grupo é exatamente igual à
energia armazenada no U da barreira dividido pela energia incidente P<sub>in</sub>,
conforme segue:</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<br /></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><img alt="" src="data:image/png;base64,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" /></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span>
</div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Aqui, Ω <sub>c</sub> representa a largura da banda de
parada;</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Para um pulso cuja freqüência central é tunelada na
freqüência de Bragg, a energia armazenada é proporcional à tanh κ <i>L</i>, uma
quantidade que se satura com o comprimento. Assim, o grupo de atraso é
proporcional á energia armazenada. Logo, o efeito Hartmann ou a saturação do
grupo de parada com o comprimento da barreira são explicados pela saturação da
energia de parada.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">No limite de uma barreira muito longa, essa demora satura-se
com o valor τ<sub>g</sub> = 1/Ω<sub>c</sub>, que é justamente o inverso da
largura do filtro representado pela barreira.</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Dessa forma, o grupo de atraso é proporcional à energia armazenada. Com
isso, pode-se explicar porque o atraso na presença de um obstáculo é menor do
que na sua ausência.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O grupo de atraso , no que se refere ao tunelamento, é um tempo de vida e
não um tempo de trânsito. Para as ondas eletromagnéticas, é um tempo de vida
para a energia armazenada vazar pelas duas extremidades de uma barreira. Para
pacotes quânticos de ondas, é o tempo de vida de trânsito para que ocorra um
estado de espalhamento, ou de modo equivalente, é a densidade de probabilidade
do tempo de armazenamento dentro da bareira, mais qualquer outro tempo gasto de
permanência em frente dessa barreira.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Na presença das reflexões, o grupo de atraso e o tempo de permanência ambos
se relacionam com a fuga simultânea de energia através de ambas as extremidades
da barreira. Nenhum destes tempos pode ser atribuído apenas ao pulso
transmitido ou apenas o pulso refletido, no sentido de tempo esta ideia
leva um pulso bem definido que viaja de A para B.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"><br />
Durante o tunelamento do pacote ou do pulso de ondas interage
simultaneamente com ambos os limites da barreira tal como visto na Figura 3.
</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> <b>Figura 3:</b></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes;"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><img alt="" 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" /> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="color: purple; font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">(a) no tunelamento, um pacote de ondas interage
simultaneamente com as duas fronteiras. Isto é como a excitação e decaimento de
uma cavidade e</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="color: purple; font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> (b) o conceito de velocidade de grupo faz sentido
quando pulso pode ser localizado dentro de um meio. Isto não é um pulso
tunelado.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> Os campos incidente, refletido e transmitido estão todos ligados por
um campo armazenado brevemente dentro da barreira. Na verdade, o atraso de
grupo é apenas o tempo de vida de energia armazenada que escapa através de
ambas as extremidades da barreira. É um tempo de vida da cavidade.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">A Figura 4 (a) mostra a energia armazenada numa região ausente de barreiras
de comprimento L, quando o pico do pulso de entrada está em z = 0.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> Figura 4:</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><img alt="" 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" /> </span></div>
<div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFHQTYS_UP0k6x5M5VIptBlnNFi3kslHNRF6cV2vMrvrCzAuoSAizFWKSpbRldeEM7Ymsp2GDuShcdGh3TxY1Xr-qDQZOb0L5YSxz1Q6f_eSvGk9lTMEbGWJdQDSOp9MkndkvawiqlRu8/s1600/0927_fig3.jpg"><span style="color: blue; font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"></span></span></a><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="color: blue; font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">a) Curva azul: imagem instanânea do pulso incidente no espaço livre, no
instante em que atinge seu pico z = 0. A área sombreada verde representa a
energia armazenada numa região de comprimento L para uma unidade de potência de
entrada.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<b><span lang="PT" style="color: #38761d; font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">(b) curva azul: imagem instanânea do pulso incidente e
distribuição de intensidade na presença da barreira, no instante em que atinge
o pico z = 0. A área sombreada em verde representa a energia armazenada na
barreira, que é muito menor do que aquela de espaço livre.</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O atraso de grupo é o tempo que leva para passar toda essa energia
armazenada para fora da região em sentido para a frente. Quando uma barreira do
mesmo comprimento é introduzida, a energia armazenada na região é reduzido
abaixo do valor de espaço livre, tal como ocorre com um resultado de
interferência destrutiva.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O atraso de grupo é o tempo que leva para que esta energia para deixar a
barreira em ambas as direções: é um tempo de vida na cavidade. Uma vez que a
energia armazenada sob a barreira é menor do que no espaço livre, a demora será
menor.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Devido a esse atraso, o tempo registrado não é um tempo de trânsito ".
Desse modo, “velocidade de grupo” não é um conceito adequado, ao passo que o
atraso de grupo permanece como um dado quantitativo útil, o qual nos diz quanto
tempo leva para a energia armazenada ser lançada em sentido para fora em ambos
os lados da barreira, deixando sua maior parte para trás.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Devido ao atraso de grupo ser um tempo de vida na cavidade, isto não
implica em que ocorra uma velocidade superluminal. Em todos os casos, o atraso
é muito mais curto do que o comprimento de pulso. Por este motivo, uma melhor
medida da duração do evento detunelamento é apenas o comprimento do pulso.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Finalmente, no meio da banda de pausa a transmissão é plana. Não há nenhuma
dispersão no atraso de grupo. Isto significa que a fase é linear em frequência
e existe um atraso puro sem distorção ou remodelamento.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">Assim, o tunelamento é um fenômeno universal para todas as ondas, seja
matéria, onda eletromagnética, ondas em água ou sonoras, sendo que a resolução
deste problema tem implicações de longo alcance.</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> </span><span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O trabalho de Winful introduziu um novo paradigma que trata o atraso de
grupo de tunelamento como um tempo de vida numa cavidade, em vez de um tempo de
trânsito. </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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Esta interpretação resolve o paradoxo do efeito Hartman e explica os tempos de
tunelamento anormalmente curtos, observados em experimentos, sem recorrer a velocidades
superluminais. </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Com isso, mostrou-se que os tempos de atraso anormalmente
curtos observados em barreiras de tunelamento têm sua origem no armazenamento
de energia e em sua posterior liberação. Logo, o atraso de grupo observado é
proporcional à energia armazenada.</span></div>
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<br />
Este atraso não é um atraso de propagação, e não deve ser relacionado a uma
velocidade pois ondas evanescentes não se propagam. </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-justify: inter-ideograph;">
<span lang="PT" style="font-family: ""serif"","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman";">O "efeito de Hartman", no qual o atraso de grupo torna-se
independente da espessura para barreiras opacas, é mostrado como sendo uma
consequência da saturação de energia armazenada devido ao comprimento de
barreira.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
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Assim, não há qualquer razão para invocar-se a velocidade superluminal.
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<![endif]-->Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-60688537437897550512013-07-18T14:29:00.003-03:002013-07-18T14:29:33.984-03:00O UNIVERSO DOS TÁQUIONS - Parte 9<b></b><br />
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<span style="color: #741b47;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">TUNELAMENTO QUÂNTICO: </span></span></b></span></div>
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<b><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12pt;"> INTRODUÇÃO:</span></b></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12pt;">Na <a href="http://cienciaxreligiao.blogspot.com.br/2013/07/o-universo-dos-taquions-parte-6-b.html">parte 7</a> desta exposição tratamos acerca do trabalho de Nimitz e Stahlhofen no que se refere ao tunelamento quântico ter velocidades superluminais. Quanto a <a href="http://cienciaxreligiao.blogspot.com.br/2013/07/o-universo-dos-taquions-parte-8.html">parte 8</a>, Winful contesta os resultados obtidos por Nimtz e Stahlhofen, dizendo que não ha nada de superluminal nos fenômenos por eles observados.</span><br />
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12pt;">Neste ponto da exposição, nos deteremos em explicar o que é tunelamento quântico e qual a sua importância no campo científico, além de tratarmos um pouco mais acerca das discordâncias de Winful quanto à possibilidade de no tunelamento ocorrerem velocidades superluminais.</span><br />
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12pt;"><b>O QUE É O TUNELAMENTO QUÂNTICO:</b></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12pt;">O tunelamento quânico se encontra sob o domínio da mecânica quântica, no que se refere ao estudo acerca do que ocorre em escala quântica.</span><br />
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O tunelamento quântico se refere ao fenômeno da mecânica quântica onde uma partícula passa, como ocorre em um túnel, através de uma barreira que classicamente não poderia ser superada. Este processo não pode ser diretamente percebido, porém, muito a respeito de sua compreensão é delineado pelo que ocorre no mundo macroscópico, o que não é adequadamente explicado pela mecânica clássica.<br />
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Para entender o fenômeno de tunelamento quântico, as partículas que tentam viajar entre barreiras potenciais podem ser comparadas a bolas tentando rolar sobre uma colina, sendo que a mecânica quântica e a mecânica clássica diferem no tratamento referente a este cenário.<br />
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<span lang="pt"><span class="hps">A mecânica clássica prevê que as partículas que, sob o aspecto clássico da mecânica, não tenham energia suficiente para superar uma barreira não serão capazes de alcançar o outro lado. Assim, uma bola sem energia suficiente para superar o morro irá rolar de volta para baixo.</span></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgv4aXVZ0s8-zrXAwbVAgTurVqS6HMw75CD9_wejXyMNcoTCx0F1HdlkcZQbK3w_C-qAvMAGJ3NKX_-EDnQk3hWNqEeEGJtRhRJv2keg_vQfXetPLq_v2hHn7J5q9dJTE_kXHvsZYeosu0/s1600/tunneling.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="191" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgv4aXVZ0s8-zrXAwbVAgTurVqS6HMw75CD9_wejXyMNcoTCx0F1HdlkcZQbK3w_C-qAvMAGJ3NKX_-EDnQk3hWNqEeEGJtRhRJv2keg_vQfXetPLq_v2hHn7J5q9dJTE_kXHvsZYeosu0/s400/tunneling.jpg" width="400" /></a></div>
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Ou, na falta de energia para penetrar uma parede, seria devolvida (ocorreria a reflexão) ou, no caso extremo, enterraria no interior da parede (ocorreria absorção). Na mecânica quântica, estas partículas podem, com uma probabilidade muito pequena, tunelarem para o outro lado, cruzando assim a barreira contra a qual se chocam.<br />
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<span lang="pt"><span class="hps">Aqui</span>, a bola <span class="hps">poderia</span>, <span class="hps">em certo sentido,</span> tomar <span class="hps">emprestado</span> <span class="hps">energia</span> <span class="hps">das cercanias de seu ambiente</span> <span class="hps">e tunelar-se </span><span class="hps">através da parede</span> <span class="hps">ou</span> <span class="hps">rolar</span> <span class="hps">sobre o monte,</span> <span class="hps">devolvendo essa energia,</span> <span class="hps">fazendo com que os</span> <span class="hps">elétrons</span> <span class="hps">refletidos</span> sejam <span class="hps">mais enérgico</span> <span class="hps">do que, de outra forma, eles</span><span class="hps"> seriam</span><span class="hps">.</span></span></div>
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<span lang="pt"><span class="hps">A razão para esta diferença surge a partir do tratamento da matéria em mecânica quântica, como tendo propriedades de ondas e partículas.</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2YIgNZfwzfu6Gxu17EVpDEZD3J9gTuiEvEa5MYDN2QBS-Zjvg1d1O_amHFGasl-3PJBFQJANH-MK2ZfFlez7n3LKzwsXoxSoyhz-HyYcrrML8Wencn8v07g8bTj-tID09Lbjs0CLEJEo/s1600/300px-TunnelEffektKling1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="184" iya="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2YIgNZfwzfu6Gxu17EVpDEZD3J9gTuiEvEa5MYDN2QBS-Zjvg1d1O_amHFGasl-3PJBFQJANH-MK2ZfFlez7n3LKzwsXoxSoyhz-HyYcrrML8Wencn8v07g8bTj-tID09Lbjs0CLEJEo/s400/300px-TunnelEffektKling1.png" width="400" /></a></div>
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<span lang="pt"><span class="hps">A figura acima representa o tunelamento quântico através de uma barreira.A energia da partícula tunelada é a mesma, porém, sua amplitude decai.</span></span><br />
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<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dxwjvQKgsT6H3xWfE1WyeSpS_RHYc-flJHfDuyKY35sZJowaQ-CJzah8mcnsfHDdj1k5V94DPu8YpWu2iKreA' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
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<span lang="pt"><span class="hps"><span style="font-size: x-small;"><span class="" id="result_box" lang="pt"><span class="hps"><span lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Simulação </span></span></span></span></span><span class="hps">Finite difference Time Domain Method - </span></span><span class="" id="result_box" lang="pt"><span class="hps">FDTD</span> <span class="hps">-</span></span><span class="" id="result_box" lang="pt"><span class="hps"> de um</span> <span class="hps">pacote de ondas</span> <span class="hps">Gaussianas,</span> <span class="hps">com</span> <span class="hps">energia cinética</span> <span class="hps">de 500</span> <span class="hps">eV</span><span>.</span> <span class="hps">A barreira de</span> <span class="hps">potencial</span> <span class="hps">tem uma altura de</span> <span class="hps">600</span> <span class="hps">eV</span><span>,</span> <span class="hps">e uma espessura de</span> <span class="hps">25 pm</span><span>.</span> <span class="hps">O</span> <span class="hps">pacote de ondas</span> <span class="hps">é parcialmente</span> <span class="hps">tunelado através</span> <span class="hps">da barreira</span><span>, dando</span> <span class="hps">um</span> <span class="hps">total de</span> <span class="hps">probabilidade</span> <span class="hps">de cerca de 17</span><span>%</span> <span class="hps">de</span> <span class="hps">encontrar a partícula</span><span>, por outro</span> <span class="hps">lado</span><span>.</span><span class="hps"> Nota-se que</span> <span class="hps">a</span> <span class="hps">curva representa a</span> <span class="hps">amplitude de probabilidade</span><span>.</span> <span class="hps">Esta</span> <span class="hps">simulação</span> <span class="hps">foi escrito</span> <span class="hps">e realizada em</span> <span class="hps">Matlab</span><span class="">.</span></span></span></span></span></h3>
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<span lang="pt" style="font-size: small;"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Para ver</span> <span class="hps">os</span> <span class="hps">componentes real</span> <span class="hps">/</span> <span class="hps">imaginário,</span> <span class="hps">ver</span> o vídeo abaixo:<span></span></span></span></span><span lang="pt" style="font-size: small;"><span class="hps"><span class="" id="result_box" lang="pt"><span></span></span></span></span></div>
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<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dzXB4qHKXZYerqxMRfG3qwzkDSV35HjBucL3SlRjC1_t3Ir3lCEomak_HsyZ8RXbqmcZdTnTsGZTBm5rCxeYA' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
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<b><span lang="pt"><span class="hps"> </span></span></b><span style="font-size: x-small;"><span class="" id="result_box" lang="pt"><b><span class="hps">Simulação FDTD</span> <span class="hps"> de um</span> <span class="hps">pacote de ondas</span> <span class="hps">Gaussian</span>as, <span class="hps">com</span> <span class="hps">energia cinética</span> <span class="hps">de 500</span> <span class="hps">eV</span><span>.</span> <span class="hps">A barreira de</span> <span class="hps">potencial</span> <span class="hps">tem uma altura de</span> <span class="hps">600</span> <span class="hps">eV</span><span>,</span> <span class="hps">e uma espessura de</span> <span class="hps">25 pm</span><span>.</span><span class="hps"> A linha preta</span> <span class="hps">representa</span> <span class="hps">a parte real</span> <span class="hps">da função de onda</span><span>, enquanto que a</span> <span class="hps">linha vermelha representa</span> <span class="hps">a parte imaginária</span><span>.</span> <span class="hps">A</span> <span class="hps">amplitude de probabilidade</span> <span class="hps">real</span> <span class="hps">é encontrado</span><span>, tomando-se o quadrado da</span> <span class="hps">magnitude</span><span class="atn"></span><span></span> <span class="hps">do total da função</span> <span class="hps"></span> <span class="hps atn">(</span><span>ver</span><span class="hps"> vídeo acima</span><span class="hps"></span><span>)</span><span>.</span><span class="hps"> O</span> <span class="hps">pacote de ondas</span> é <span class="hps">parcialmente</span> <span class="hps">tunelado através</span> <span class="hps">da barreira</span><span>, dando</span> <span class="hps">um</span> <span class="hps">total de</span> <span class="hps">probabilidade</span> <span class="hps">de cerca de 17</span><span>%</span> <span class="hps">de</span> <span class="hps">encontrar a partícula</span><span>, por outro</span> <span class="hps">lado</span><span>. </span><span class="hps">Esta</span> <span class="hps">simulação</span> <span class="hps">foi escrito</span> <span class="hps">e realizada em</span> <span class="hps">Matlab.</span></b><span class=""></span></span></span></div>
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<span lang="pt"><span class="hps">A animação abaixo demonstra um elétron se aproximando de uma barreira, como um "trem de ondas:</span></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSXAH4YXY9ggEJtZcnaCFK5Om2m-PN3rJllRQOxyRr4qzmV2gyEbipTM4GZ-lVumnT90UQRfuqI8kFfWKCD0CDh_3VtBaceQe2ugkPampmN2mUmrvXrpd2FI24cNzzOPGef_NcJDPl_TU/s1600/quantum-tunneling-effect.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSXAH4YXY9ggEJtZcnaCFK5Om2m-PN3rJllRQOxyRr4qzmV2gyEbipTM4GZ-lVumnT90UQRfuqI8kFfWKCD0CDh_3VtBaceQe2ugkPampmN2mUmrvXrpd2FI24cNzzOPGef_NcJDPl_TU/s400/quantum-tunneling-effect.gif" width="400" /> </a></div>
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<b><span style="font-size: x-small;"><span class="" id="result_box" lang="pt"><span class="hps">Reflexão e</span> <span class="hps">tunelamento</span> <span class="hps">de um</span> <span class="hps">pacote de ondas</span> <span class="hps">de elétrons</span> <span class="hps">dirigido a</span> <span class="hps">uma barreira</span> <span class="hps">potencial.</span> <span class="hps">O</span> <span class="hps">ponto brilhante</span> <span class="hps">se movendo</span> <span class="hps">para a esquerda</span> <span class="hps">é a parte</span> <span class="hps">refletida do</span> <span class="hps">pacote de ondas</span><span>.</span> <span class="hps">Uma mancha</span> <span class="hps">muito fraca</span> <span class="hps">pode ser vista</span> <span class="hps">em movimento</span> <span class="hps">para a direita</span> <span class="hps">da barreira.</span> <span class="hps">Esta é uma pequena</span> <span class="hps">fração</span> <span class="hps">do pacote de ondas</span> <span class="hps">que tunela</span> <span class="hps">através da barreira</span> <span class="hps">o que do ponto de vista da física clássica</span> é <span class="hps">proibido.</span> <span class="hps">Observe também</span> <span class="hps">as</span> <span class="hps">franjas de interferência</span> <span class="hps">entre</span> <span class="hps">as ondas de entrada</span> <span class="hps">e</span> as <span class="hps">refletidas.</span></span></span></b></div>
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<span lang="pt"><span class="hps">Uma interpretação dessa dualidade envolve princípio da incerteza de Heisenberg, que define um limite sobre quanto exatamente acerca da posição e do momento de uma partícula podem ser conhecidos ao mesmo tempo.</span></span></div>
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Isto implica que não há soluções com uma probabilidade de exatamente zero (ou um), através de uma solução que pode aproximar-se do infinito. Se, por exemplo, o cálculo para a sua posição seja uma probabilidade de 1, a outra, isto é, a sua velocidade, deverá ser infinita.</div>
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Assim, a probabilidade de existência de uma determinada partícula no lado oposto de uma barreira interveniente, é diferente de zero, e essas partículas aparecem do ouro lado, com uma frequência proporcional a esta probabilidade.</div>
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A função de onda de uma partícula resume tudo o que pode ser conhecido sobre um sistema físico. Portanto, os problemas da mecânica quântica centram sua análise no tocante à função de onda para um sistema, por meui da utilização de formulações matemáticas alusivas ao campo da mecânica quântica, tais como a equação de Schrodinger, a qual resolve a função de onda.</div>
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Isto diretamente se relaciona à densidade de probabilidade da posição da partícula, a qual descreve a probabilidade de que a partícula esteja, em qualquer lugar. No limite de grandes barreiras, a probabilidade de tunelamento decresce, conforme essas barreiras sejam mais amplas.</div>
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A figura acima representa o tunelamento quântico através de uma barreira. Na origem (x = 0), há uma barreira potencial alta, porém estreita. dessa forma, pode-se perceber um efeito de tunelamento significativo.</div>
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<span lang="pt"><span id="result_box" lang="pt"><span class="hps">Para os modelos</span> <span class="hps">de tunelamento</span> por<span class="hps"> barreiras</span> <span class="hps">simples, tais como</span><span class="hps"> barreiras</span> <span class="hps">retangulares</span>, <span class="hps">existe</span> <span class="hps">uma</span> <span class="hps">solução analítica</span>. Os p<span class="hps">roblemas,</span> <span class="hps">na vida real</span>, muitas vezes não <span class="hps">tem uma solução,</span> sejam elas <span class="hps atn">"</span>semiclássicas<span class="atn">" ou "</span>quasiclassicas". dessa feira, métodos <span class="hps">foram desenvolvidos para</span> <span class="hps">dar</span> <span class="hps">soluções aproximadas</span> <span class="hps">para estes problemas</span>, tais como a <span class="hps">aproximação</span> <span class="hps">WKB</span>.</span></span></div>
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<span lang="pt"><span lang="pt"><span id="result_box" lang="pt"><span class="hps">Em</span> <span class="hps">física matemática</span>, a aproximação <span class="hps"><a href="http://farside.ph.utexas.edu/teaching/jk1/lectures/node70.html">WKB - </a><span id="result_box" lang="pt"><a href="http://farside.ph.utexas.edu/teaching/jk1/lectures/node70.html"><span class="hps">Wentzel</span><span class="atn">-</span>Kramers<span class="atn">-</span></a><a href="http://farside.ph.utexas.edu/teaching/jk1/lectures/node70.html">Brillouin</a> (mais <a href="http://en.wikipedia.org/wiki/WKB_approximation">aqui</a>),</span></span> <span class="hps">ou método</span> <span class="hps">LG - Liouville–Green ou ainda método WKBJ - <span id="result_box" lang="pt"><span class="hps">Wentzel</span><span class="atn">-</span>Kramers<span class="atn">-</span>Brillouin</span>-Jeffreys.</span> <span class="hps">é um método para</span> <span class="hps">encontrar soluções</span> <span class="hps">aproximadas de equações</span> <span class="hps">diferenciais parciais</span> <span class="hps">lineares</span> <span class="hps">com</span> <span class="hps">coeficientes</span> que <span class="hps">variam</span> <span class="hps">espacialmente</span>.</span></span></span></div>
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<span lang="pt"><span lang="pt"><span lang="pt"><span id="result_box" lang="pt"><span class="hps">Esta metodologia é normalmente utilizada</span> <span class="hps">para</span> <span class="hps">o cálculo</span> <span class="hps">semiclássico</span> <span class="hps">da mecânica quântica,</span> <span class="hps">em que</span> <span class="hps">a função de onda</span> <span class="hps">é reformulada</span> <span class="hps">como</span> <span class="hps">uma função exponencial</span>, <span class="hps">semiclassica</span> <span class="hps">expandida</span> <span class="hps">e, depois,</span> <span class="hps">a</span> sua <span class="hps">amplitude</span> <span class="hps">ou</span> <span class="hps">fase</span> <span class="hps">é considerada como algo lentamente variável.</span></span></span></span></span></div>
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<span lang="pt"><span lang="pt"><span id="result_box" lang="pt"> O diagrama abaixo representa como o fenômeno de tunelamento ocorre, sendo que ele escapa à explicação clássica da física, a qual se refere à superação de uma barreira de energia potencial, passando através desta barreira e assim buscando o nível mais baixo de energia para a partícula tunelada.</span></span></span></div>
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<span lang="pt"><span lang="pt"><span lang="pt"><span lang="pt"><span class="hps">Acerca dos problemas para a vida real, as probabilidades podem ser obtidas com precisão arbitrária, limitada por recursos computacionais, através do método <a href="http://en.wikipedia.org/wiki/Path_integral_formulation">integral de linha</a> de Feynman. Tal precisão raramente é necessária na prática da engenharia.</span></span></span></span></span></div>
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<span lang="pt"><span lang="pt"><span lang="pt"><span lang="pt"><span class="hps"><b>FENÔMENOS ACERCA DO TUNELAMENTO QUÂNTICO: </b></span></span></span></span></span></div>
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<span lang="pt"><span lang="pt"><span lang="pt"><span lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"> </span></span></span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps">Existem vários</span> <span class="hps">fenômenos</span> <span class="hps">que têm o mesmo</span> <span class="hps">comportamento do tunelamento quântico</span><span class="hps"></span><span>,</span> <span class="hps">e, assim,</span> <span class="hps">podem ser</span> <span class="hps">descritos com precisão pela correspondente metodologia.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"> </span><span></span> <span class="hps">Os exemplos que interessam para este trabalho são os seguintes:</span></span></div>
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<span style="color: #38761d;"><span class="" id="result_box" lang="pt"><span class="hps"><b>1 - TUNELAMENTO QUANTO ÀS ONDAS EVANESCENTES: </b></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span style="color: #cc0000;"><b><span class="hps"> O</span><span class="hps"> acoplamento</span> de <span class="hps">onda evanescente</span></b></span> <span class="hps atn">(</span><span class="">a aplicação de</span> <span class="hps">Maxwell</span> <span class="hps">da</span> <span class="hps">onda</span> <span class="hps">equação</span> <span class="hps">à luz)</span> <span class="hps">e</span> <span class="hps">da aplicação da</span> equação acústica de onda <span class="hps atn">não </span><span class="">dispersiva</span><span class="hps"></span>, <span class="hps"> aplicada</span> <span class="hps">a</span>s <span class="hps atn">"</span><span>ondas</span> <span class="hps">em cordas</span><span>"</span><span>.</span> <span class="hps">O acoplamento</span> <span class="hps">onda evanescente</span><span class="">, </span><span class="hps">só era</span> <span class="hps atn">chamado de "tunelamento</span><span class="">"</span> <span class="hps">no campo da mecânica quântica</span><span>. Atualmente</span> <span class="hps">esta nomenclatura é utilizada em</span> <span class="hps">outros contextos.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"> </span></span><b><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-size: x-small;">Acima vê-se a representação de uma onda incidente refratada e abaixo uma onda evanescente na interface entre os meios. </span></span></span></b></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Dessa forma, em uma breve recordação, diz-se que o tunelamento mecânico de onda </span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">é um</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> <span class="hps">efeito de acoplamento</span> <span class="hps">de ondas</span> <span class="hps">evanescentes</span> <span class="hps">que</span> <span class="hps">ocorre no contexto</span> <span class="hps">da mecânica quântica</span>, uma vez que <span class="hps">o comportamento das partículas</span> <span class="hps">é governado pela equação de onda de</span> <span class="hps">Schröedinger.</span></span></span></span></div>
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<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">Todas as</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> <span class="hps">equações de onda</span> <span class="hps">exibem</span> <span class="hps">efeitos</span> <span class="hps">de acoplamento</span> <span class="hps">de ondas</span> <span class="hps">evanescentes</span>, caso <span class="hps">as condições sejam adequadas</span>. <span class="hps"> </span></span><br />
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">Os efeitos</span> <span class="hps">de acoplamento</span> <span class="hps">de onda</span> <span class="hps">matematicamente</span> <span class="hps">equivalentes aos</span> <span class="hps">chamados efeitos de tunelamento</span> <span class="hps">na mecânica quântica,</span> <span class="hps">podem ocorrer com</span> a equação de onda de <span class="hps">Maxwell</span>, seja<span class="hps"> com</span> <span class="hps">luz,</span> <span class="hps">com micro-ondas</span>, e <span class="hps">com as equações de onda comuns não dispersivas, frequentemente aplicadas a</span> <span class="hps">ondas</span> <span class="hps">em cordas</span> <span class="hps">e</span> <span class="hps">acústicas.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span style="color: #38761d;"><b>2 - TUNELAMENTO EM DECAIMENTO RADIOATIVO:</b></span></span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"> </span></span><span lang="pt"><span lang="pt"><span lang="pt"><span lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"></span></span> </span></span></span></span></span><span class="" id="result_box" lang="pt"><span style="color: #cc0000;"><b><span class="hps"> </span></b></span></span></div>
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<span class="" id="result_box" lang="pt"><span style="color: #cc0000;"><b><span class="hps">O decaimento radioativo</span></b></span> <span class="hps">é o processo de</span> <span class="hps">emissão de partículas</span> <span class="hps">e de energia</span>, <span class="hps">a partir do núcleo</span> <span class="hps">de um átomo</span> <span class="hps">instável</span><span class="">, que leva à formação de </span><span class="hps">um produto estável ou menos instável</span><span class="">.</span> <span class="hps">Isto é feito</span> <span class="hps">através do</span> <span class="hps">tunelamento</span> <span class="hps">de uma partícula</span> <span class="hps">fora do núcleo</span> <span class="hps atn">(o</span><span class=""></span> <span class="hps">tunelamento</span> <span class="hps">de elétrons</span> <span class="hps">para o núcleo</span> <span class="hps">é a captura eletrônica</span><span class="">)</span><span class="">.</span> <span class="hps">Esta foi a primeira</span> <span class="hps">aplicação de</span> <span class="hps">tunelamento quântico</span> <span class="hps">que </span>despertou <span class="hps"></span><span class="hps">interesses acerca do tema.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">A captura de elétrons</span> <span class="hps">é um processo no</span> <span class="hps">qual um nuclídeo</span> rico em prótons<span class="hps"></span> <span class="hps">absorve</span> <span class="hps">um elétron</span> <span class="hps">atômico</span> <span class="hps">interior</span><span>, transmutando</span> <span class="hps">um próton </span><span class="hps">nuclear em</span> <span class="hps">um nêutron.</span> <span class="hps">Simultaneamente, tal reação provoca</span> <span class="hps">a emissão de</span> <span class="hps">um</span> <span class="hps">neutrino</span><span>.</span> <span class="hps">Até que a energia do átomo caia para o estado fundamental do novo nuclídeo, seguem-se várias emissões de fótons.</span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Os</span> <span class="hps">nêutrons e prótons</span> <span class="hps">que constituem</span> <span class="hps">núcleos</span><span> atômicos, assim como</span> <span class="hps">outras partículas</span> <span class="hps">que se aproximam</span> <span class="hps">d</span><span class="hps">eles,</span> sofrem efeitos decorrentes de diversas<span class="hps"></span> <span class="hps">interações</span><span>.</span> <span class="hps">A força</span> <span class="hps">nuclear</span> <span class="hps">forte,</span> <span class="hps">não observada</span> <span class="hps">em escala macroscópica</span> <span class="hps">familiar,</span> <span class="hps">é</span> <span class="hps">a força mais poderosa</span> às<span class="hps"> distâncias</span> <span class="hps">subatômicas</span><span>.</span> <span class="hps">A</span> <span class="hps">força eletrostática</span> <span class="hps">é quase sempre</span> <span class="hps">significativa</span> <span class="hps">e</span><span>,</span> <span class="hps">no caso do</span> <span class="hps">decaimento beta</span><span>, a força</span> <span class="hps">nuclear fraca</span> e<span class="hps">stá também</span> <span class="hps">envolvida.</span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">A interação</span> <span class="hps">destas forças</span> <span class="hps">produz um número de</span> <span class="hps">fenômenos diferentes</span> <span class="hps">em que a energia</span> <span class="hps">pode</span> <span class="hps">ser libertada</span> <span class="hps">por rearranjo</span> <span class="hps">de partículas</span> <span class="hps">no núcleo</span><span>, ou devido à </span><span class="hps">mudança de</span> <span class="hps">um</span> <span class="hps">tipo de partícula</span> <span class="hps">para</span><span class="hps"> outros.</span> <span class="hps"> </span></span></span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Estes</span> <span class="hps">rearranjos</span> <span class="hps">e transformações</span> <span class="hps">podem</span> <span class="hps">ser energeticamente dificultada</span>,<span class=""> de modo a</span> <span class="hps">não ocorrerem</span> <span class="hps">imediatamente.</span> <span class="hps">Em certos casos,</span> teorizam-se<span class="hps"> flutuações aleatórias de vácuos</span> <span class="hps">quânticos</span><span class="hps">,</span> de modo a<span class="hps"> promover o relaxamento</span> <span class="hps">para</span> <span class="hps">um estado de menor energia</span><span class="hps"> (a</span> <span class="hps atn">"</span><span class="">deterioração</span><span>") de acordo com o fenômeno</span><span class="hps"></span> <span class="hps">conhecido por</span> <span class="hps">tunel</span>amento <span class="hps">quântico</span><span>.</span></span> </span></span> </span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps">O processo de</span> <span class="hps">decaimento radioativo</span><span>, com todas as</span> <span class="hps">transformações energéticas dificultadas,</span><span></span> <span class="hps">pode ser</span> <span class="hps">análogo</span> <span class="hps">a</span> <span class="hps">um campo de neve</span><span class="hps"> numa montanha</span><span>.</span> <span class="hps">Enquanto</span> <span class="hps">o atrito entre</span> <span class="hps">os cristais de gelo</span> <span class="hps">pode</span> <span class="hps">suportar o peso</span> <span class="hps">da</span> <span class="hps">neve</span><span class="">, o sistema</span> <span class="hps">é inerentemente instável</span> <span class="hps">em relação</span> <span class="hps">a um estado de</span> <span class="hps">energia</span> <span class="hps">potencial mais baixo</span><span class="hps"></span><span>.</span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">A</span> <span class="hps">perturbação</span><span class="">, assim, facilitaria</span> <span class="hps">o caminho para</span> <span class="hps">um</span> <span class="hps">estado de maior</span> <span class="hps">entropia</span><span class="">: O sistema</span><span class="hps"> avançará para</span> <span class="hps">o estado fundamental</span><span>, produzindo calor</span><span>, e a energia</span> <span class="hps">total será</span> <span class="hps">distribuída</span> <span class="hps">ao longo de um</span> <span class="hps">maior número de</span> <span class="hps">estados quânticos</span><span>.</span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">Dessa forma ocorrerá a "</span><span class="hps">avalanche"</span><span>.</span> <span class="hps">A energia total</span> <span class="hps">não muda</span> <span class="hps">neste processo</span><span class="">, mas</span><span>,</span> <span class="hps">por causa da lei</span> <span class="hps">da entropia,</span> "<span class="hps">avalanches"</span> <span class="hps">acontecem apenas</span> <span class="hps">em um sentido e</span> <span class="hps">que</span> <span class="hps">é</span> <span class="hps">para o</span> <span class="hps atn">"</span><span>estado fundamental</span><span>"</span> <span class="hps">- o estado</span> <span class="hps">com o maior número</span> <span class="hps">de maneiras em que</span> <span class="hps">a energia disponível</span> <span class="hps">pode</span> <span class="hps">ser</span> <span class="hps">distribuída</span><span>.</span></span> </span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">Tal colapso</span>, o<span class="hps atn"></span><span> evento de</span> <span class="hps">decaimento</span><span> radioativo,</span> <span class="hps">exige uma</span> <span class="hps">energia de ativação</span> <span class="hps">específica.</span> <span class="hps">Para uma</span> <span class="hps">avalanche</span> <span class="hps">de neve</span><span>, esta energia</span> <span class="hps">vem como</span> <span class="hps">uma perturbação</span> <span class="hps">de fora do sistema</span><span>, apesar de</span> <span class="hps">tais perturbações</span> <span class="hps">poderem ser arbitrariamente</span> <span class="hps">pequenas</span><span>.</span> <span class="hps">No caso de</span> <span class="hps">um núcleo atômico</span> <span class="hps">excitado</span><span>, a perturbação </span><span class="hps">arbitrariamente</span> <span class="hps">pequena </span><span class="hps">surge</span> <span class="hps">de flutuações</span> <span class="hps">quânticas no vácuo</span><span>.</span></span> </span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span> </span></span></span></span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><br /><span class="hps">Um</span> <span class="hps">núcleo radioativo</span> <span class="hps">(ou qualquer</span> <span class="hps">sistema</span> <span class="hps">excitado</span> <span class="hps">na mecânica quântica</span><span>)</span> <span class="hps">é instável</span><span>,</span> <span class="hps">e pode</span><span>,</span> <span class="hps">assim</span><span>,</span> <span class="hps">espontaneamente</span> <span class="hps">estabilizar-se</span> <span class="hps">em um sistema</span> <span class="hps">menos</span> <span class="hps">excitado</span><span>.</span> <span class="hps">A transformação</span> <span class="hps">resultante</span> <span class="hps">altera a estrutura</span> <span class="hps">do núcleo e</span> <span class="hps">resulta na emissão</span> ou <span class="hps">de</span> <span class="hps">um fóton,</span> <span class="hps">ou</span> <span class="hps">de</span> <span class="hps">uma partícula</span> <span class="hps">com alta</span> <span class="hps">velocidade</span> <span class="hps">detentora</span> <span class="hps atn">de massa (</span><span>tal como</span> <span class="hps">um elétron</span><span class="">, uma partícula alfa</span>, etc.)<span class="hps"></span><span class="hps"></span><span>.</span></span> </span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span style="color: #38761d;"><b>3 - TUNELAMENTO NA FUSÃO NUCLEAR DE ESTRELAS: </b></span></span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span>O tunelamento quântico também responde pela <span style="color: #cc0000;"><b>fusão nuclear das estrelas</b></span>, pois de modo a esta fusão nuclear ocorrer, </span></span></span></span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span></span></span></span></span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class=""> as partículas</span> <span class="hps">envolvidas devem</span> <span class="hps">primeiro</span> <span class="hps">ultrapassar</span> <span class="hps">a repulsão</span> <span class="hps">elétrica para</span> <span class="hps">se aproximar o suficiente</span> <span class="hps">para que a força</span> <span class="hps">nuclear forte</span> atrativa assuma de modo a ocorrer a fusão desses partículas. <span class="hps">Isto requer</span> <span class="hps">temperaturas extremamente elevadas</span><span></span><span class="hps"></span><span class="">, caso apenas a temperatura</span> seja<span class="hps"></span> <span class="hps">considerada</span> <span class="hps">no processo.</span> <span class="hps"> </span></span></span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">Para o</span><span class="hps"> ciclo</span> <span class="hps">dos prótons</span> <span class="hps">nas estrelas</span><span>, esta barreira</span> <span class="hps">é penetrada</span> <span class="hps">por</span> <span class="hps">meio do tunelamento</span><span>,</span> <span class="hps">permitindo que o processo</span> <span class="hps">prossiga a</span> <span class="hps">temperaturas mais baixas que aquelas a serem requeridas em experimentos de</span><span class="hps"> laboratório.</span></span></span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">O vídeo abaixo demonstra como funciona o sol e qualquer outra estrela: </span></span></span></span></span></span></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps"><br /></span></span></span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dwEv-h5PkNZhNkOO3UUYa32-wTfI-kEC5RB-cOzNwdT6Qq1tk6yT66FSa0dd6OxYgBqLtka4BGsw3ncdRcghw' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps"> </span></span> </span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span> O processo acima descrito permite que o sol funcione por bilhões de anos sem que esgote o seu combustível.</span></span></span></span></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><br /></span></span></span></span></div>
<div style="text-align: justify;">
<br /><span class="" id="result_box" lang="pt"><span class="hps">Considerando a</span> <span class="hps">barreira</span> como sendo <span class="hps">a</span> <span class="hps">energia</span> <span class="hps">elétrica potencial</span> <span class="hps">de</span> <span class="hps">duas cargas</span> <span class="hps">pontuais (por exemplo</span><span class="">, prótons</span><span>)</span><span class="">, a energia</span> <span class="hps">necessária para alcançar</span> <span class="hps">uma</span> <span class="hps">distância</span> <span class="hps">r</span> <span class="hps">é dada pela equação:</span></span></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><br /></span></span></div>
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<h3>
<span style="color: #cc0000;"><b><span class="" id="result_box" lang="pt"><span class="hps"><div class="MsoNormal">
U = K e<sup>2</sup>/r</div>
</span></span></b></span></h3>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><span class="" id="result_box" lang="pt"><span class="hps">k = constante de Coulomb;</span></span></b></span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><span class="" id="result_box" lang="pt"><span class="hps"><br /></span></span></b></span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><span class="" id="result_box" lang="pt"><span class="hps">e = carga do próton;</span></span></b></span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><span class="" id="result_box" lang="pt"><span class="hps"><br /></span></span></b></span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><span class="" id="result_box" lang="pt"><span class="hps">r = distância entre as cargas pontuais, na qual a força nuclear forte passa a ser significativa.</span></span></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span> </span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps">A temperatura necessária</span> <span class="hps">para fornecer a</span><span class="hps"> energia</span> <span class="hps">térmica média</span> <span class="hps">requerida pela fusão, ou seja, para superar a barreira de Coulomb, para cada partícula</span> <span class="hps">é dada por:</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: red;"><b><span class="" id="result_box" lang="pt"><span class="hps">fusão do deutério - deutério: T =</span></span> 40 X 10<sup>7</sup> K
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<![endif]--><span style="color: red;"><b><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></b></span></div>
<div style="text-align: justify;">
<span style="color: red;"><b><span class="" id="result_box" lang="pt"><span class="hps">fusão do trítio - deutério: T =</span></span><span class="" id="result_box" lang="pt"><span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"> </span></span>4,5 X 10<sup>7</sup> K<span class="" id="result_box" lang="pt"><span class="hps">
</span></span></b></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span> Dentro das estrelas, presume-se que o processo do ciclo próton - próton ocorra a temperaturas mais baixas, devido à extrema densidade das estrelas e devido à extrema população de partículas. </span></span></span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPwY7oYox78yeZFt7MO4GEYcCn4Kqo1Sl2hjUOaJeLuJiWMDyn1nXqEKCbBYr2GmwRNEKZWtR8N7vDmvOHRgdhGXx-RKLV-53wHANnc_p9aXaWUPKPGTdx11uWeBw6E16IB31d-3SGDXg/s1600/profus.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="263" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPwY7oYox78yeZFt7MO4GEYcCn4Kqo1Sl2hjUOaJeLuJiWMDyn1nXqEKCbBYr2GmwRNEKZWtR8N7vDmvOHRgdhGXx-RKLV-53wHANnc_p9aXaWUPKPGTdx11uWeBw6E16IB31d-3SGDXg/s400/profus.gif" width="400" /></a></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span>Assim, o ciclo próton - próton, para o Sol tem uma temperatura de:</span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span> </span></span></span></span><span style="color: red;"><b><span class="" id="result_box" lang="pt"><span class="hps">T =</span></span> 1,5 X 10<sup>7</sup> K</b></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">Este é o processo</span> <span class="hps">de fusão</span> <span class="hps">nuclear</span> <span class="hps">que alimenta</span> <span class="hps">o</span> <span class="hps">Sol e outras estrelas</span><span class="">, que têm</span> <span class="hps">temperaturas centrais</span> <span class="hps">menores que de</span> <span class="hps">15 milhões de</span> <span class="hps">Kelvin</span><span>.</span> <span class="hps">O ciclo</span> <span class="hps">de reação</span> <span class="hps">produz cerca de</span> <span class="hps">25 MeV</span> <span class="hps">de</span> <span class="hps">energia</span><span>.</span> <span class="hps">O mecanismo </span><span class="hps">destas reações</span> <span class="hps">é uma</span> <span class="hps">parte do modelo</span> <span class="hps">padrão solar</span><span class="">.</span></span></span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="">Estas reações são as seguintes:</span></span></span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class=""> Mais detalhes consulte <a href="http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c3">aqui</a>.</span></span></span></span></span></span></div>
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<br /><span class="" id="result_box" lang="pt"><span class="hps">Embora o fenômeno ora descrito seja</span><span class="hps"> normalmente</span> <span class="hps atn">chamado de "</span><span class="">tunelamento quântico</span><span class="atn">" ou </span><span>de tunelamento quântico mecânico", considera-se que </span><span class="hps"></span> <span class="hps">são os aspectos</span> <span class="hps">ondulatórios</span> <span class="hps">de comportamento</span> <span class="hps">das partículas</span> <span class="hps">que efetivamente importam na</span> <span class="hps">teoria</span> que trata dos fenômenos de tunelamento quântico.</span></div>
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<span class="" id="result_box" lang="pt"><span class="hps">Assim, não há que se considerarem </span><span class="hps">efeitos</span> <span class="hps">relacionados com a</span> <span class="hps">quantificação</span> <span class="hps">dos</span> <span class="hps">estados de energia</span> <span class="hps">da partícula</span><span class="hps">.</span> <span class="hps">É por esta razão,</span> <span class="hps">alguns autores</span> <span class="hps">preferem chamar</span> <span class="hps">o</span> <span class="hps atn">fenômeno de "</span><span>tunelamento de </span><span class="hps">onda</span> <span class="hps">mecânica".</span></span></div>
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<b></b></div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com1tag:blogger.com,1999:blog-8827017589495907464.post-60280322926532997582013-07-15T20:22:00.002-03:002013-07-15T20:22:57.155-03:00O UNIVERSO DOS TÁQUIONS - Parte 8<span style="color: #0b5394;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: red;">2 - Segue abaixo a exposição do trabalho crítico de Herbert Winful (<a href="http://arxiv.org/abs/0708.0681">aqui</a>):</span></span></b></span><br />
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De
acordo com o autor, a alegação de que ocorreu a violação da
relatividade especial quanto ao experimento proposto por Nimitz e
Stahlhofen não é verdadeira. O experimento se encontra perfeitamente de
acordo com as equações de Maxwell as quais são o invariante de Lorentz
e, portanto, estão concordes com a teoria da relatividade especial. A
variação no tempo medida é fundada nas predições das equações de
Maxwell, o que confirma a validade da teoria da relatividade especial
pelo experimento.<br />
<br />
É curioso notar que em um <span class="" id="result_box" lang="pt"><span class="hps">artigo</span> <span class="hps">anterior sobre</span> <span class="hps">tunelamento</span> <span class="hps">através de</span> <span class="hps">guias de onda</span>s <span class="hps">subdimensionadas</span> [<i>H. M. Brodowsky, W. Heitmann, and G. Nimtz, Phys. Lett. A 222, 125 (1996).</i>], o próprio <span class="hps">Nimtz</span> <span class="hps">declarou:</span></span><br />
<span class="" id="result_box" lang="pt"><span class="hps"><br /><br /><span style="color: #b45f06;"><i><b> "Portanto,
o tunelamento de micro-ondas, ou seja, a propagação de modos
evanescentes guiados, pode ser descrito com um alto grau de precisão,
como uma teoria baseada nas equações de Maxwell."</b></i></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"> </span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps">Considere-se um</span> <span class="hps">pulso</span> <span class="hps">incidente</span> <span class="hps">no ponto marcado com</span> <span class="hps">S</span> <span class="hps">(Fig.</span> <span class="hps">abaixo</span><span class="">), no primeiro</span> <span class="hps">prisma</span> <span class="hps">em t =</span> <span class="hps">0.</span> <span class="hps">O atraso de</span> <span class="hps">grupo de reflexão</span> <span class="hps">é definido como o</span> <span class="hps">tempo no</span> <span class="hps">qual o pico</span> <span class="hps">do pulso</span> <span class="hps">refletido</span> <span class="hps">aparece</span> <span class="hps">em A.</span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">O</span> <span class="hps">atraso de grupo</span> <span class="hps">de transmissão é</span> <span class="hps">o momento em que</span> <span class="hps">o pico</span> <span class="hps">d</span><span class="hps">o</span> <span class="hps">pulso transmitido</span> <span class="hps">aparece</span> <span class="hps">em B.</span> <span class="hps">Ambas</span> <span class="hps">as</span> <span class="hps">ondas refletidas</span> <span class="hps">e transmitidas</span> são <span class="hps">submetidas a um</span> <span class="hps">deslocamento lateral</span> <span class="hps">conhecido como o "deslocamento </span> <span class="hps">Goos</span>-Hänchen" , <span class="hps">sendo este a</span> <span class="hps">distância indicada</span> <span class="hps">por "s"</span> <span class="hps">na figura</span>.</span> </span></span><br />
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" 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<span class="" id="result_box" lang="pt"> <span class="hps">Além disso,</span> <span class="hps">Nimtz</span> <span class="hps">e</span> <span class="hps">Stahlhofen</span> <span class="hps">assumem</span><span class="hps"> que</span><span class="hps"> é apenas</span> <span class="hps">uma hipótese</span>, <span class="hps">de que</span> <span class="hps">no interior da</span> <span class="hps">abertura</span> <span class="hps">o pulso</span> <span class="hps">tunelado</span> <span class="hps">segue o</span> <span class="hps">caminho</span> <span class="hps">AB</span>, <span class="hps">cujo comprimento é "d</span>".</span></div>
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<span class="" id="result_box" lang="pt"><span class="hps">Com base neste</span> <span class="hps">pressuposto, os</span> <span class="hps">autores concluem</span> <span class="hps">que a distância</span> "<span class="hps">t" dada por "d</span> <span class="hps">+ s</span><span class="">", ao mesmo tempo</span> <span class="hps">que o pulso</span> <span class="hps">refletido</span> <span class="hps">percorreu a distância</span> <span class="hps">s</span> <span class="hps">e, portanto,</span> <span class="hps">a onda</span> <span class="hps">tunelada</span> <span class="hps">deve</span> <span class="hps">ter coberto</span> <span class="hps">a</span> <span class="hps">distância</span> <span class="hps">"d"</span> <span class="hps">adicional</span> <span class="hps">no</span> <span class="hps">tempo zero</span>.</span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"> </span></span><span class="" id="result_box" lang="pt"><span class="hps">A suposição de que</span> <span class="hps">a onda</span> <span class="hps">evanescente</span> tunelada <span class="hps">seguiu um caminho</span> <span class="hps">definido</span> <span class="hps">AB</span>, <span class="hps">no intervalo,</span> <span class="hps">não tem fundamento.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps">Dentro do</span> <span class="hps">intervalo</span> <span class="hps">da onda</span> <span class="hps">evanescente</span> <span class="hps">tem</span> <span class="hps">um vetor de</span> <span class="hps">onda</span> <span class="hps">imaginária</span> <span class="hps">na</span> <span class="hps">direção</span> <span class="hps">AB</span> <span class="hps">e, portanto,</span> <span class="hps">não se pode</span> <span class="hps">atribuir a ele</span> <span class="hps">um caminho como</span> <span class="hps">se fosse uma</span> <span class="hps">partícula</span> <span class="hps">ponto que se move</span> <span class="hps">em linha reta</span>.<br /><br /><span class="hps">Dentro do</span> <span class="hps">intervalo</span> <span class="hps">da onda</span> <span class="hps">evanescente</span> <span class="hps">existe como uma</span> <span class="hps">onda estacionária</span> <span class="hps">exponencial que</span> <span class="hps">preenche todo o</span> <span class="hps atn">espaço:</span></span></div>
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" width="400" /></div>
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<b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><span lang="PT" style="mso-ansi-language: PT;"><span class="hps"> </span></span></span></span></span></b><span class="" id="result_box" lang="pt"><span class="hps">A natureza da</span> <span class="hps">onda evanescente</span> <span class="hps">na abertura de ar</span> é <span class="hps">um campo de</span> <span class="hps">decaimento exponencial</span> <span class="hps">simples</span> <span class="hps">que</span> <span class="hps">se move para cima</span> <span class="hps">e para baixo</span> <span class="hps">no tempo.</span> <span class="hps">No primeiro</span> <span class="hps">prisma é</span> <span class="hps">uma onda estacionária</span> <span class="hps">feita de</span> <span class="hps">interferência entre</span> <span class="hps">as ondas</span> <span class="hps">incidentes e</span> <span class="hps">refletidas.</span> <span class="hps">O campo</span> <span class="hps">transmitido</span> <span class="hps">é uma onda</span> <span class="hps">que se propaga.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps">Um cálculo</span> <span class="hps">teórico</span> <span class="hps">do grupo de</span> <span class="hps">atraso</span> <span class="hps">com base no </span></span><span class="" id="result_box" lang="pt"> </span><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">τ<sub>g</sub></span> da eletrodinâmica</span> <span class="hps">clássica</span> <span class="hps">de Maxwell</span> <span class="hps">produz dois</span> <span class="hps">termos:</span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><img alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAABBCAIAAAA7aSMkAAAIr0lEQVR4nO2cf0gbWR7A39/H/OMft+AfBSEE8ocgJciheEf2j8reCSq3iGhLSJeFJNwVbXs36mJ2hcYUdqRdRXCX67AalLpHQ13TvbN7Dl3DYex2ykaqeNNu3VPjWOPPYQxGJ3lv/0hMkxgnk5ipLXmfvzSTee/pZ977vvfmvQcQpvAAZ10AzBmArRci2Hohgq0XIth6IYKtFyLYeiGCrWdHhGfHXI84MXLWBZFB4JixMZaXKSK2rpwDnhm4xfjfZuFxIrxncNB7knlsXSEHPEN1uP6fP+XBl6NWLVHf6xNyTEDanHP3t5O2G62XTfYxTgynXI/4xzps36cVj60rISIuOMlbj8V8phl8OWrVas1OLpdUoTjrtNRfpp9uSxAdztN1Gl3b5BZM+VZEZAfSPqnYugIiC/RHvezbE8sPn49e1mstriUp6nmDIfWgss93kKodoQ2mo8PlP0j5FFvPSERg7OZ8tu2nRJwbaCSIZpoLxj6ILNDVxaDU4Q0et44ifpe5g0mJIth6JiILdI2NEWSlQ3HZ52V/2UMoLC79OPFgejExysLdueF2E9l/d+imqbxYQ7ESQgiKSzPjX3Z+TD5YRQhKAd8DuvtKrcF0b3Z+9O8GAgCiyuKcFY95hPy4VVukbf13IH5JmLLpCKJpdCmNdJS2umPrGYhwdA2ZWlcSCL50ddbqiwEw2L1r/KSjsaZaTxA629TRLTDI9lSUdHtDMPrzBYqVkDDvuk02lAGgMbqWEYLS7qv/3btSDIiS8o+oiReiuDBsLgPEJefLUHJ2gq+3ngAGu3cHxdP3OkoBUWqfDqK0RATGVkMvJD622Lo8+xxtJpkN2e9seWwVoLRr/Pu+9q9nxX2vvQScs3n2YlfDAfcVgmjo8+1AhNDBs6GRZ2GEEJJ4l/nIOkIISSylASDWEsSu6szu1aSsgtP2UgKkIfE5OIbAdCQ38ti6PBsMaaa5fbmvhJ5QZQTxQXNr/2MBIrjorAOlFrc/3txCftyqJQBRZR74Ly/FP1Zi/fXVaEppqnX0OajoYdMF9RjHghS2LovAkJoO+aAe4ehqAIgLt58IYYSkdXdLEbjoXExsmcPi3KBJSwBAaGq77nO7EKGcrO9zdAMAVTbPZjzlLaZTB0rq6PlDuT8j9dnF1mURGLKG5uSkhxadFwGobGPWIUKxQVR14i1Q2ny1KUEoLtz/9M8aAED5Ta8Yycn6BkPqAWh47e9wnq4rIS70+WQqOkLH4xS2LkemrhxC6NVES9nrUVNw2l5aXNn7U0hcX4t14yXeZe/1Radi9pdGzUXAQLFiTtZ3vHYDKI63PftLrhZl8zz7HN1cndChw9blyGxdYMjieKCNxt0K2+RPD3vuTG/HrVsruqcFiBCCIW93ia6T2QrnZD3antf0+kSEDrd9tKnCTM/tylfz6N+R0o3H1uUQmA6NnHUYYqkyoD9qPMNbE9eLAABJ9S/qr6zB9tVdZ4+18ZpzbhfCgO+7Ecp4HgBCa/x81PPz9uIPNPkBAQDxPklPcUs+l71BCwChNVL3fa9H5gjuzn/TZTRevWFra+8b8wVCx8uUDmw9G3aG/vSb3/X4ld8AxeXZueVjL0LOGsnf8/v3TP+Sjn7H1uXI2vpbSgFaP1z2fjuzfKgg/B0DW0/hcHtunGqp1yfMFBVZ3Ou5/G9VzkvBmBtJK0x3c42ZbKm9UHOxvvkoBGLriYT4ScrUeMlo/NCg0RkaLhmNRqPR3M3wKkg/dV6ZrUcET5cOmF28BLd/+LRcF+85Kxi5vRPkoTcXFtiRfmZFQgjy43+p7880RZBSgAW6ujjdTDIAACQMRvORV5TM1qN97zKr2w9RaNF5nWJjPXBsPU5wbXlTQgihvbmBi/UZ5gJPST7yUtDCw63JNh0BdG0T6xLceL6wEWsLsfVU4NZkW2XbREDK/NVTk2Ve0fnqE9uT6uTXjtFbllwtWkBoreOJkUPe+slZnCXpSpo361Jgoq0yulYLhsQ9xe6za+FPl1eUDHU9tMlvSQgh6edRkw7EZr6OCovrehLQ77acr6B+DCJp/eE/RrgT3ujnhbR5wTXPzWu2O4NU2+1JXnaKSt56+NmA6WsughCKCExHcfIkKLaekk60ymoNH9Y39cwIqgzYZPKCQa/jvMW9DuGBr+8Pl12rMgWQtx7y2jXRNWhwz/PZueTlK9h6MnDDSzVo9U224ScBSVXnafPa8/XW1TlfQISQwJDnrrgDJ0+Cylvn77c0fGw2k/bPO4zvN3UzK4nxA1tXSIifGmh3DI99YW0iB5hlha8HsmXZZdTHmmKJpTSG+Fgrv+wM1eBZGgUIU7ayVve6FPJ2a8zuQJ5Tj4OtZ4Xa1sUZ6o+fTfrnvyEtDs+aak1/Qgu/57GVyLbwpwBbV8bhi3t/vdr3H5/Kbxth0OvQt05sQXg4/2X1iUvBTwu2rgQoLX1rM9aXE2WN1CNe1V6etMI4rtnuDFKtnXdz2iqmBGxdAeIMZR3iJAjFhWFzU69vL/MtbzfSQ9N72HoGgk97m7sm+H0pMPOV45/cvsojOvV5E9alVS/9idF43U59YqptdSpaB5ctwad/K/2tinEdisuzLMttvInZ+TdA5pXRpwKKs7SpqraPFWF04SUgVBn44JXRWaFka2POwNWJqxVEHc1F1/lIfg89MMKqsTAF74LIDgU7nnIEBtmeiuS9UWqBdzxliZLdjbmxwZB6QFhcvPrB8FicwtYzoNZUfPjZQFVRfNODmuCdzDmgUmgP+3rPE0nWpfXnv6jx8hKfWpALKp1QsuO1GwCopdhtiBCSViYdN4ZVmG7CJ5TkijqnEUFx1mmpIgh9zaWmRkuPm1NjpL7D3rqJTyPKDTVOHnsD4JPHTkveTxlUHXzKYF444B+PDj56J04UjYjcdzQ+UTRf4NODMe8q2Hohgq0XIth6IYKtFyLYeiGCrRci2Hohgq0XIth6IYKtFyK/AqBNCt9X+wxfAAAAAElFTkSuQmCC" /> </span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">O primeiro termo</span> é <span class="hps">relacionado forma</span> <span class="hps atn">da transmissão derivada (</span><span class="">ou reflexão</span>) <span class="hps">de </span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">τ<sub>0</sub></span> deslocamento de fase</span> <span class="hps">em relação à</span> <span class="hps">frequência angular</span><span class="">.</span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><br /><span class="hps">De acordo com a</span> <span class="hps">teoria, o</span> <span class="hps">atraso de grupo</span> <span class="hps">é o mesmo, tanto para</span> <span class="hps">o pulso refletido como para o pulso</span> <span class="hps">transmitido.</span> <span class="hps">Agora</span> <span class="hps">Nimtz</span> <span class="hps">e</span> <span class="hps">Stahlhofen</span> <span class="hps">erroneamente</span> <span class="hps">associam</span> <span class="hps">o primeiro termo</span> </span><span class="" id="result_box" lang="pt">, com um tempo <span class="hps">de trânsito</span> <span class="hps">de um pulso</span> <span class="hps">de A para</span> <span class="hps">B.</span></span><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Esse termo</span> <span class="hps">vai a zero</span> <span class="hps">rapidamente</span> <span class="hps">para as lacunas</span> <span class="hps">da ordem de</span> <span class="hps">um comprimento de onda</span> <span class="hps">ou maior.</span> </span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Por</span> <span class="hps">esse termo</span> <span class="hps">é igual a zero</span>, Nimitz e Stahlhofen concluem <span class="hps">que</span> <span class="hps">o pulso</span> <span class="hps">foi de</span> <span class="hps">A para B,</span> <span class="hps">instantaneamente,</span> <span class="hps">com</span> <span class="hps">velocidade infinita</span><span class="">, quebrando</span> <span class="hps">a velocidade da luz</span>. <span class="hps">Não há absolutamente nenhuma</span> <span class="hps">justificativa para</span> <span class="hps">essa conclusão.</span></span></span></span></span></span><br />
<br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Dentro da abertura, o campo elétrico é dado por:</span></span></span></span></span></span><br />
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></span></span></span></span><img alt="" src="data:image/png;base64,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" /></div>
<div style="text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"> </span></span></span></span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Onde C e D são arbitrários e dependem das condições de fronteira entre a lacuna e os meios.</span></span></span></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span></span>
e</div>
<div style="text-align: justify;">
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<img alt="" src="data:image/png;base64,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" /></div>
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<span class="" id="result_box" lang="pt"><span class="hps">Esta é uma</span> <span class="hps">onda plana</span> <span class="hps">não homogênea</span>, que se propaga <span class="hps">ao longo de</span> <span class="hps">x</span> <span class="hps">(paralelamente</span> <span class="hps">às interfaces</span>) <span class="hps">com</span> <span class="hps">uma amplitude que</span> <span class="hps">é</span> <span class="hps">evanescente</span> <span class="hps atn">(</span>que decai) <span class="hps">ou</span> <span class="hps">antievanescent</span>e <span class="hps atn">(</span><span class="">que cresce</span><span class="">)</span> <span class="hps">com<i> z</i>.</span></span></div>
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<span class="" id="result_box" lang="pt"><br /><span class="hps">Para</span> <span class="hps">barreiras</span> <span class="hps">suficientemente vastas,</span> <span class="hps">podemos abandonar</span> <span class="hps">o termo</span> <span class="hps atn">anti-</span><span class="">evanescente</span> <span class="hps">com</span> <span class="hps">amplitude:</span></span></div>
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<span style="font-size: large;"><b><span style="font-family: "Times New Roman","serif"; line-height: 115%;">e<sup>+κ<i>z</i></sup></span></b></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class=""> uma vez que</span> <span class="hps">explode</span> <span class="hps">para o infinito.</span></span> </span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">O que temos é</span> <span class="hps">uma onda estacionária</span> <span class="hps">na direção</span> <span class="hps"><i>z</i>.</span> <span class="hps">Em</span> <span class="hps">uma onda estacionária</span><span class="">, o campo</span> <span class="hps">em todos os pontos</span>, <span class="hps">e</span> <span class="hps">em particular</span> <span class="hps">em A e</span> <span class="hps">B</span>, <span class="hps">se movem para cima</span> <span class="hps">e para baixo</span> <span class="hps">em fase.</span> <span class="hps">Isso não significa</span> <span class="hps">que qualquer coisa</span><span class="hps"> viajou</span> <span class="hps">de A para</span> <span class="hps">B</span> <span class="hps">em tempo</span> <span class="hps">zero.</span></span> </span> </span></div>
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<span class="" id="result_box" lang="pt"><br /><span class="hps">Ressaltamos</span> <span class="hps">este ponto</span>, porque é <span class="hps">toda a base</span> <span class="hps">para a reivindicação</span> <span class="hps">por</span> <span class="hps">Nimtz</span> <span class="hps">e</span> <span class="hps">Stahlhofen</span> <span class="hps">que eles tenham</span> <span class="hps">derrubado</span> <span class="hps">a relatividade especial</span>. <span class="hps">Nas</span> <span class="hps">lacuna</span> não <span class="hps">existe</span> qualquer <span class="hps">propagação</span> <span class="hps">real na</span> <span class="hps">direção <i>z</i></span> <span class="hps">e, consequentemente,</span> <span class="hps">não seria </span></span><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">τ<sub>0</sub></span></span> <span class="hps">um</span> <span class="hps">tempo de trânsito</span> <span class="hps">a partir de</span> <span class="hps">A até</span> <span class="hps">B.</span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">O segundo termo</span> <span class="hps">no grupo da expressão</span> de<span class="hps"> atraso é o grupo</span><span class="hps"></span><span class="hps"> dominante</span> <span class="hps">na espessura das</span> <span class="hps">barreiras.</span><span class="hps"></span> <span class="hps">É</span> <span class="hps">proporcional ao desvio </span> <span class="hps">Goos</span><span class="atn">-</span>Hänchen<span class="">.</span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><br /><span class="hps">devido a ser a verdadeira propagação na </span><span class="hps">direção do eixo x</span>, <span class="hps">pode-se associar</span> <span class="hps">este termo</span> <span class="hps">com</span> <span class="hps">o tempo que leva</span> <span class="hps">para a energia</span> <span class="hps">a ser</span> <span class="hps">transportada</span> <span class="hps">de uma distância</span> <span class="hps">s</span> <span class="hps"> numa direção paralela</span> <span class="hps">às interfaces</span>.</span></span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"> </span></span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"></span></span><br /></span> </span></span><span class="" id="result_box" lang="pt"><span class="hps">O</span> <span class="hps">grupo </span><span class="hps">global</span> </span><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class="hps">de</span> <span class="hps">atraso</span> </span> <span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">τ<sub>g</sub></span><span class="" id="result_box" lang="pt"><span class="hps">
</span> <span class="hps">representa, portanto,</span> <span class="hps">o tempo de vida</span> acerca da<span class="hps"> energia armazenada</span> <span class="hps">na região</span> <span class="hps">delimitada</span> <span class="hps">pelas distâncias</span> <span class="hps">D ao longo de</span> <i><span class="hps">z</span></i> <span class="hps">e</span> <span class="hps">s</span>, ao longo do eixo <span class="hps">x</span> <span class="hps">(por</span> <span class="hps">unidade de</span> <span class="hps">profundidade</span> <span class="hps">ao longo do eixo y</span><span class="hps">).</span> <span class="hps">Este</span> <span class="hps">tempo de vida</span> <span class="hps">é proporcional</span> <span class="hps">à energia armazenada</span>.</span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"> </span></span><span class="" id="result_box" lang="pt"><span class="hps">Acontece que</span> <span class="hps">é muito mais fácil</span> <span class="hps">de medir</span> <span class="hps">um</span> <span class="hps">desvio de feixe</span> <span class="hps">lateral a</span><span class="hps"> medir</span> <span class="hps">diretamente</span> <span class="hps">um retardo de tempo</span> <span class="hps">curto</span>. <span class="hps">Nimitz e</span> <span class="hps">Stahlhofen</span> <span class="hps">afirmam que</span> <span class="hps">sua</span> <span class="hps">antena do receptor</span> <span class="hps atn">"</span>era móvel <span class="hps">e paralela</span> <span class="hps">à superfície</span> <span class="hps">do</span> <span class="hps">prisma</span>."</span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Ao mover</span> <span class="hps">a antena</span> <span class="hps">eles foram</span><span class="hps"> capazes de medir</span> <span class="hps">s</span> <span class="hps">sin</span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"></span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">θ</span></span> <span class="hps">que pode então</span> <span class="hps">ser utilizada</span> <span class="hps">na equação:</span></span></span></span></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></span></span><img alt="" src="data:image/png;base64,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" /></div>
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Tal equação determina</span><span class="hps"> o</span> <span class="hps">atraso de grupo</span><span class="">,</span> <span class="hps">tendo em mente que</span> <span class="hps">o</span> <span class="hps">primeiro termo é</span> <span class="hps">extremamente pequeno</span><span class="">.</span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="">obviamente
que o grupo de atraso pode ser também determinado, de modo direto,
pelas duas medidas de tempo relacionadas a este atraso:</span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class=""></span></span></span></span><br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><b><span class="" id="result_box" lang="pt"><span class=""><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">t<sub>1</sub></span> </span></span></b> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">= tempo </span><span class="" id="result_box" lang="pt"><span class="hps">entre o</span> <span class="hps">pulso</span> <span class="hps">gerado</span> <span class="hps">no transmissor</span> <span class="hps">e</span> <span class="hps">o</span> <span class="hps">pulso registrado no receptor</span><span class="hps"> da antena, estando os </span><span class="hps">prismas</span> <span class="hps">em</span> <span class="hps">posição fechada;</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"></span></span><br /></div>
<div style="text-align: justify;">
<b><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">t<sub>2</sub></span></span></span></b><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><sub><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"> </span></sub></span></span></span><span class="" id="result_box" lang="pt"><span class="hps">= tempo de atraso entre a fonte e o</span> <span class="hps">receptor com</span> <span class="hps">os prismas</span> <span class="hps">separados</span> <span class="hps">pela distância</span> <span class="hps">"d"</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"> </span></span></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">a diferença:</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">
</span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">t<sub>1 </sub>- </span></b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><b>t<sub>2</sub> </b>
</span> </span><span class="" id="result_box" lang="pt"><span class="hps"><br /></span></span></span></span></span></span><br />
<br />
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">produz o</span> <span class="hps">atraso do grupo, </span><span class="hps">devido à lacuna entre os prismas.</span></span></span></span></span></span></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">
</span></span></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"> </span></span><span class="" id="result_box" lang="pt"><span class="hps">É surpreendente que</span> <span class="hps">não haja dados</span> <span class="hps">reais sobre</span> <span class="hps">esta</span> <span class="hps">determinação direta do</span> <span class="hps">atraso de grupo</span> <span class="hps">em qualquer lugar</span> <span class="hps">nos trabalhos referenciados de</span> <span class="hps">Nimtz</span>.<span class="hps"></span><span class="hps"></span> <span class="hps">Não há números</span> <span class="hps">que mostram</span> <span class="hps">pulsos recebidos</span> <span class="hps">com</span> <span class="hps">os prismas</span> <span class="hps">fechados e</span> <span class="hps">com</span> <span class="hps">os prismas</span> <span class="hps">separados.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"> </span></span><span class="" id="result_box" lang="pt"><span class="hps">A figura abaixo ilustra</span> <span class="hps">as dimensões relativas do</span> <span class="hps">pulso</span> <span class="hps">e da lacuna.</span> <span class="hps">O pulso</span> <span class="hps">é tão longa</span> <span class="hps">que não pode</span> <span class="hps">ser localizado</span> <span class="hps">dentro da respectiva lacuna</span><span class="hps"></span>. <span class="hps">Não se pode dizer</span> <span class="hps">que</span> <span class="hps">em t = 0</span> <span class="hps">o pulso</span> <span class="hps">é, definitivamente,</span> <span class="hps">em A e</span> <span class="hps">não</span> <span class="hps">em</span> <span class="hps">B</span> <span class="hps">e que</span> <span class="hps">a</span> <span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><span style="mso-spacerun: yes;"> </span>τ<sub>g</sub></span></span> <span class="hps">= t</span> <span class="hps">ele</span> <span class="hps">cruzou</span> <span class="hps">para</span> <span class="hps">B</span> <span class="hps">e não está mais</span> <span class="hps">em</span> <span class="hps">A.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Na verdade, esta</span> <span class="hps">é uma interação</span> <span class="hps">quasi</span>-estática: <span class="hps">o pulso</span> <span class="hps">é tão longo que</span> <span class="hps">a cada instante</span> <span class="hps">o sistema está</span> <span class="hps">praticamente</span> <span class="hps">em</span> <span class="hps">estado estacionário.</span></span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">A barreira</span> <span class="hps">é um elemento</span> <span class="hps">aglomerado</span> <span class="hps">em relação ao</span> <span class="hps">envelope e</span> <span class="hps">age como</span> <span class="hps">um condensador</span> <span class="hps">que pode armazenar</span> <span class="hps">energia.</span></span></span></span></span></span></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"> </span></span> </span></span> </span></span></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps"> </span></span><span class="" id="result_box" lang="pt"><span class="hps">Para</span> <span class="hps">este sistema</span> <span class="hps">aglomerado</span> <span class="hps">o conceito de</span> <span class="hps atn">"</span><span class="">velocidade de grupo</span><span class="">"</span> <span class="hps">para atravessar</span> <span class="hps">a lacuna é</span> <span class="hps">insignificante</span>, enquanto <span class="hps">o atraso de grupo</span> <span class="hps">continua a ser um</span> <span class="hps">conceito</span> <span class="hps">perfeitamente válido</span> que <span class="hps">descreve em</span> <span class="hps">quanto tempo</span> <span class="hps">o</span> <span class="hps">capacitor</span> <span class="hps">armazena</span> <span class="hps">energia antes, que ela</span> <span class="hps">decai</span>a<span class="hps">.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
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lpNs5v0GGCQkO9BiyIHciBoIY8sjvSUUoQQqu4Nl8jcpHXftT8HBrhW9Lke5X57Mfvle9CiyIEcCFrIJ0u3rAeF5VnUtd2Wocngo4D9Ps8349ajgcGxsasqgWLyPmhR5EAGBC3kF+6B+8IrEbNNYlHag+bR6dQHfEFa8j9oUeQgOQQt5B/O75txfcZYTHSvoV2v1+ubO3pe/6N58AMZj14CSAOKHEhB0AIAACgIQQsAAKAgBC0AAICCELQAAAAKQtACAAAoCEELAACgIAQtAACAghC0AAAACkLQAgAAKAhBCwAAoCAELQAAgIIQtAAAAApC0AIAACgIQQsAAKAgBC0AAICCELQAAAAKQtACAAAoCEELAACgIAQtAACAghC0AAAACkLQAgAAKAhBCwAAoCAELUDBWve5P+ozNJZTJIQqbzT0feT2rW/3tgHkDwQtQGFa9Qwfq6IIoaraT1iHnRMsO+F0nDcb6tWEUFXHhj2r27BRnHeCrqeIjmZ92/DpAMpA0AIUIG7tu9NNKkJKXzz33SIX9avVOVtXKSGqA8wcl+DVSm3Ug+uW5zSEEAQt5BcELUDh4e46uisIqeh23BUJ00fXB59v1u8/aptd43me5xZv2fvaqzSh3mV11fN9I3f8wh97GD0hO7reZugWbaALuljbTNvcD1KM6dU5W1cppdX9fEeSoPXPOS3dterAh1HaFtp2w8cl2Biqotlknxw/3V1bGvz7VlNo4wG2BIIWoPAsOgzFhJQcHX2YNA25JVdfNUVp9KZLzgmWZSdGznRXlRCqxTr9iOcD2UYIpWnsPTs8zrJXR86/1qihiOag9daS7A0S+rHLmi1fDL+ukwpa/7StczehqjtOfexkWdb5yYBhD0XKDlhvroU3pkxvujS1sOSbvmxq1BBCiOaAyX59YW1xeqSvUUXIztecS1vcWoeChqAFKDjrU+ZKQoie8YT/j/Mv3GSjTLoXVnl+w+d6n6bfst8OpeYDZ29lOAuFbFMdZObWQm+/6PzdbkKV9owsytsc37U/N6p21PWxPs7H0hJByy05X9tJVLvpL8MZvuSyHGzWH7F7uODG1A/eDsSo38O0EVJcbb4W3LgZRq8mpI3xoE0LWwdBC1Bw1l2mstigFTIpklrPzPA8z/Ocf2Hqsw9Pm+l/6+lo2V8rDFKODtpG60xkE3HV2buDkDKTa0ZoYooS0m7dd/3dZs2OqiOfePwcz0sH7dKUuZ6Qyl7nA/EdEzYmvF/CToV2hEfQwrZA0AIUHq+9Q0VIcZfdKzqNZ23GeiCYT4HByVR5Y1evyWJlbI7hwY5yWUFbaZ5KNkuIm798tKqElHYOjk+wLMuyo4Md5YSUdwyOsuy1mdhZRg9dpj0IWsg5CFqAArToMu2lSEmwHRmF87F9dTsC+bR+zVypIiX/y/EglHlyu4539o4veZK0aP0srU74B/Ht2o3F0VdKo7qCeX7pK1N1SSDUEbSQlRC0AAXJPzt85EmKUOraF02nPxoV2pPOYebUb/RaTaVut0rIJ26aOVBKqL299u983Lpv5iv7qRd1FCFE2+2Y5/jNGgwVIt11zPNrN60HypIMhkLQQpZB0ALkucnJSbfbLfabVc/Ee3TH3ognQ2mq2owDn33nm2OaKSGfOL/n8772mkC7k6rQ954d+fztZg1FSGmbbS6QbbVHT51ojZjec8J+azGtcb3JgpbnOd+3dtPzVaHpPeXP9F6Imt6DoIVsg6AFyGcMw7S2ti4vLyv1AbHZBgCxELQAeau/v1/ZlOURtADJIWgB8tNWpCzP8/dG6WZ9Mz16T9mPAchhCFqAPLRFKQsAMiBoAfINUhYgqyBoAfLH8vJyV1dXf38/UhYgeyBoAfLE8vJya2trf3//dm8IAERB0ALkA6QsQNZC0ALkPKQsQDZD0ALkNqQsQJZD0ALksNnZWa1WOzAwsN0bAgAJIWgBcpWQsmNjY9u9IQAgBUELkJOQsgC5AkErn7ASSDxKXdttcc7JWg1EWH5TTbNYOwQygJQFyCEIWvkCQVvSMXiFDRkfHuypU1OEajRfT7iwV8R7IGghU263GykLkEMQtPIFgjYuJdfmmIMqQu2iJ1aTvweCFjIyNjZWVFSElAXIIQha+RIFbSA9iZ7xiC1bHZWt0UHL+W7Y6BZtaNltdU173+cef3DBbP+c09JdG1jgmlJXHaRtwQWuoSCNjY1ptdoEq7gDQJZC0MqXKGgfTVtbKEJKekYfphS0nMfeqSXUHsPAJ06WZScunz+yV0V27B28ucHzvH/a1rmbUNUd5g9GJ9iJkfeMjbsIKTtgvbm2tbsNWUJI2dnZ2e3eEABIDYJWPrF7tBMjtpOGWjVFqL0m1yKfUtCuu0xlFCk+xNwJdDlzPvdnF5gLzpk1fmNx9JVSUlxl+utK8H24xXHjbhUpftmxuLHVuw7bDSkLkLsQtPLJGXWcUtfxqmf4WBVFCKHUuqaOHtp8+uMr00LfsHe0ZzchDRb3SsQGPHD2VhKyx+R6uJW7DdtuaGgIKQuQuxC08iW8RxshtXu0PM9zvmnW8cGg+TXDc3XlFCGktI4ev8fNMHq1WKiTmDeH3OX1eiOz0+v1it587e/vR8oC5DQErXzpBa0wJlksaH0uK03TVldEJt+w1JUQ6pBt/u/OXh0hTRb3UsSbry64J1n25oIfA6JyHvvVVz8te7ztVx2h/xGGE79lsUT+WX9/f319PVIWIKchaOWTE7Srtwb3U0Sl7RxwTvs43zR7yaTXUEQ0aB99ba4pCQ+GYseHz/Y2aihV0+nv1jj/NNOuoShdp9k2MiHcDDZ36qiSqqOX55GzuWx5efkti+Unjz1m+MPxX730Uuj/GYZ54dVjtU/v29/cLCzb3t/f39raiiXcAXIdglY+OUHL8/47I33PVwXm5BRrm2nb8Fv7xbuOOb/n8772mnAfMaVt6DnDzgtjo9Z9ty9bDPWh31LlTYct4x40Z3PZ7Oxs07PPPt1+8OI3375zeSQmaI+efPvTH2ZfePXYT8se7+npQcoC5AcELcAW+fjSpaKiIiFNP/1hNlHQXvzm29p9z6j+w3/49w8+2MatBYDNgqAFUNzy8vKvXnqpsuaJs84vhZSND9r3zp8/evLti998++TTTU8+3TTw+ReVNU8c/c1v0KgFyHUIWgBlud3un5Y9/sKrxy5+820oZeODdtBq/d/9bwgpK/zlxW++bekyND37LAZDAeQ0BG0OmJycNBqNk5OT270hkLJT/+ednzz22InzFyIjNj5ojUbjsd/+9vH/Vhmfx0dPvr2zrGzkiy+2d0cAIG0I2twwNjbW1dVVX1+Pp8nnitnZ2X3PNtc+ve8vrmvxKRsZtJOTk0VFRUVFRf9pxw7RP37n8shPHnssZuYPAOQKBG0ucbvdQtwODQ3h1l02+/jSpZ1lZaFxT6I/vx088/rx4zzPDwwMFAW1dBliWrTCz19c14SZP16vd7t3DgBSg6DNPV6vV3haEMMwiNtss7y8fPQ3v/nnJ/a8c3lEImWFPuFBq5Xn+fr6eqPR2PD00/3//oH0S4SZP1i9ByC3IGhzldfrHRgYqK+v7+/vRysnS7jd7up/qU3UKk0UtMLV0q9eeilpNn/6w+yJ8xd+8thj750/v937CgByIWhz2/LyMsMwWq0WcbvtrO+9/0+Plf128EzSsIwJWoHMoP30h9mzzi9rn97X8+qr6M8AyAkI2jwxNjYm9ECiX3Hzud2xP2NjPMOEfpYHBhxVVfbKf77xb7/7/uTbs384/qCtPenPXM0TC//9v/NdXcLPzH/9r/NPN83+4fj3J99O9HPj/IW/Xh756+WRq/ZP32x97rc63fzIyHYfHQBIAkGbV4TByV1dXYhbccvL4bAcGgqHpdEYCjy+tZUvKsrhn9bW8L4YjeF9HBoK7zuawgBbCEGbh0KDkwtrLlAoREPNzVB81tdvf/5l549WGxvJoTzGnQiATYKgzVvC4GQhbvPkZl4oSoVI6O8PhMRmpU6oIRjTFhR+Jicje4/nR0Z+q9Md2/+vcsY9JbpHe+bce6Gda/tVR6J7tFedXwo9xpE//+9ju9Cf/F3/G/bKfx6uqlo7fDhqFzb3sPT3B44D2sQAKULQ5rnQ4ORcmgs0Oxvu2hXSNO0maXyLLSYy0/Le+fNFRUXyxz3F/AjZfPTk2wzDhN5TCNq0Y9vwh+NSM39C+zs5KdJhrtWmeXjr68PHVmgK42mRAHEQtAVBGJxcX18/MDCQRYOThRaq0NMrVPqp1vihHB0YiGpvKVbdLy8vv/Dii7VP74tcHkDOOOGjJ99+4dVjTz7dVFRUdPJje3zQVv9L7Vnnl39xXfvHn+2qqK5p6TIcPfm28JcyfzZh5o9wiRO6yhkYSDOJhfMiBPDYGDqiocAhaAuLMDh5G+YCRWZqqgOOIptN29p1OTk5+dOyxw1/OJ5qu/OdyyP/+LNdwrOfftnWHuo6jgzaoqKi0P+HHhQl/WypRDN/fvXSS4r0XsR03QvXRil1NggDtULN31zpYgHIDIK2EAmDkxWcCzQ7G+iiFDp+UwpUoW0q9O5mTTNoeXn5LYvlJ489llITM/J2bEV1jZC1oaZwoqD99IfZiuqaoqKiJ59u+mVbe6JHJUv0S7d0GWpqa7d0zR8hg4WTLrSD5V9LhW4AT06i5xnyEoK2cAmDkyPnAqW5QFAoVo1GudVrzI29rAlUUbOzs03PPvt0+8FUM09oyz75dFNLl+EvrmsXv/k28rauRNCe/NguDIw6cf7CP/5sV6rt2k9/mP3t4JmioqLtX/PH6w13RAstYJkNX6F4IHohLyBoC11ocPLQ0JDwhKkkLxDaLvJbq0I7NUcyNZ6wtE4aUXfxm28NfzheUV2TaCyxRNDGvM8Lrx6TeB+JjP8vux77/YkTWTcITihCQvrK7HxubQ20etHhDDkIQQs8z/Nutzt0X3BgYCDqd15voMEqp07Mu7aI1+vd92zzL9vaU7ove/Jju9ASlXiVzKANpWZFdU38arVJw76y5on9zc3beADlSqlfRBhslUfFDPIbghZ4nucZhhG6kbVabVFR0ZjZHLjTJj3ctL4+z2JV1PLy8u9PnPgvux6TM9L4L65rv2xr/2Vbe9I//mVbe2RfvXTQhrK5orpGdBn5RH+fw4vGR0Zv0is84e7+2Fgel0PIXQhaiG6zSierUJ0JncAFZuSLL5LOnT168u1//NkumUH4y7b2yMFocoI2MsilbxgLw4/zbf1aocNZuARMmrvC9V8+7T7kLARtoRLus0q3FdBBF212dramVnwVvDS6dtMLWuEn1DUt+tvfDp75p8fKrO+9v43HaivIvEDUagP9LoV3dQhZAkFbMLxefmyMHxiQugEWmaxoCohZXl7uefXVyponQj3DaQ9Wigxat9u995lnUnq56GArYW5P9b/UFuKqEjJzt7U10MmMEg5bBUGb12Zn+aGhJM3WUL1TqG1Wbo45oCKEENUBZo6T9ZKPL136p8fKTpy/8NvBM+lNv4kPWv3zL6TxJmedXz75dJPQkj75sf0nj8kcZuxjaR0RUVpreNfpWc3ogGaJ0JWlRD+zMMhgaKhgCz9sDQRt3hHuYxmNCS/qQ5VLATZ6RPhcptpgzPzCPPVQ5stGRkb+4T/+x8f/W+XZKxNpBORmBa3wc8zyjmbnTvV//s/sV1/J3GuW1hFSUkt/xIZMXD5v3KchhKq3uNfkXXHkkND3ItFFZ6g7B98L2GwI2rwwOxvoMUN3WYo473B3KUVKuwf+/JyKUDt7x5eSvUR4cLRWq71y5Uoazz3e9KAVxj21Hjx4+PDhrq4ueaOfhKBV65mZqP/euGGpKSak3jyV9DDkMjm3URC6sHkQtDkr1C2cqOUautuKCf4Jrc0xB1VEtZv+cslr7ywmRHWQmVuTeMHk5KSwNkOoe9b63vvpPZpx38H/ERm0oWcgp/QjPBj540uXQu8jrNSUbMcTBC337WB9CSHPDN7Oi95jOUIPYJG4TkX3MnpctX0AACAASURBVGQGQZtThCvx/v4k4YrLcJkeTZoqVITaP3hrlefvO3t1hOyot0yJJq3X6zUaja2trfHjjEKLDaSUkfrnX8gkaP/iuvZ0+8GmZ5+NeaZxaKUmyfFQIkHL+X5wDr6kJSVVRy/P513PsVzSoSsMYEbPEKQIQZsLJif5gYGE95YQrmla9zoOlxKiarfd5Xie5x65+ioIIbt/zy7F5szQ0JDwlMpE7yU8QKr26X3yn4ecSdAK457eslgSjXuanZ3t6urq7+9P8AeJBkMRqvp3I3cLpjkrTTp06+v5gQH0GIEcCNpsJfQMJ/qSC/dc8SXPBDfNHCglpFRv/jQwGujqWcNOipCd7bY7oaR1u92tra1Go1HOvU9hhR+Z83zSC1phAs/PHk+8xnsE4fpgbGws7jdig6HYCefwu4aqEqJpG3T7UjiShUC42E10T7erC33LIAFBm2UkGq/19Xx/Pz82hnDdDMH2q2irbu/grY3A33V1daW0qNHIF1/sLCuTM+EnMmiHhoZeePVY0pe8c3nkn5/Y0/Pqq/LXCVheXu7v74/bhQT3aHnu4ejREkKKDY5F+ftcUJaXA7dvJL6k6a2CBfkLQZsFhDuvRiMulrcOd9fRXUGIusl6O6qbeOlLereKkD00+yDt956dnZWzDkFk0DIMkzSbDX84vrOsLDTuKTMI2s0QGpAoMYQKd3MBQbudhDk5op1RoetiNF6VEXhIRelhh3c9+jdLbss+ipDiTrs3gwFBctYhkB+0Cjy4WLLrmKo1ji8U7HCoNEn0RQk3enCtXMAQtFvO7Zb6QqLxuhWEh1SIDzAOzKylmgdvrWT4MdLrEOx95hk5QavMg4sTDYai1FXPm+zf+hCzaZMYXREaPwUFBkG7VSYnxaflhCYMoPGajyTWISgqKgr9mfW99+OD9uI33/6yrb2mtiAfXJwHQndzRb/1uJVbSBC0CkuUrxg0UTDi1yGID9pBqzUmaFN5cDFkvUQdy6HExVnOawhaZUjkK+7WFKTQOgRJg1ZYluenZY/LfnAx5I7Z2YR3jtCzlb8QtJsqUb62tvIMg3wtcG63+2ePPx5as1Y0aM86v6yseeJXL72UVwu2Qzyvlx8aEhkLiV7lfISg3QwS+Yrx/RBheXk5tA5BZNCaT506evLtmAcXQ0FA4hYABG0GEvUCIV9BkrAOQWTQ/uqllyprnoh/cDEUEInExf2mHIegTZ3wfYjPV9x/BdkmJydfePHF0D+t771/6v+8g3FPwPM87/XyDCNew+AKPjchaGUTBuvHPwUG15sAoIREfWZdXRg2lVsQtDK43SK3YHEHBQC2hugoEKEKwhzrXICgTSxRFzEuJwFg6yXqVKuv5xkGXcrZDEErZnJSvDTjBgkAbLtEbQBhJi5kHwRtBNExCOifAYDsNDsr3qU8MIAmQVZB0PI8n6AJiy5iAMh+Qpdy/DIGQg0GWaCwgzZRExbXgwCQc7xefmBApIGLO7jbrVCDVhhIjAtAAMg/og1coxG3wLZLgQWt0MeCJiwA5D3RBm59Pe6Ibb2CCVrRMtfaijIHAHlubCz2yY5oXWytAgha0V5iDCQGgIIiDFFGf/J2yOugjb9RgXEBAFDIlpdFRoAKfXugmHwM2uVlkdncKEkAACHx7RDhCVO4laaA/ApaYbpOzI1Y9I0AAIiKv7OG27cKyJeg9XpFikt/P4oLAEASomNFUX9untwP2vg7/MKNWHSAAADIJ3r7Fj2CmyGXg9btFrnHgOk6AACZiH/YQFcX4jYTuRm0iSIWAAA2RfxoKcRtunItaOMjFuceAEAholUuWjUpyp2gRcQCAGwLdCJmJheCFhELALDt4ucC1dfzk5PbvVk5ILuDFhELAJBV4udSolpOJluDFhELAJC1ELepyL6g9Xp5oxHnDwAg283OokUkRzYFLS6RAAByTnwHJJ4qFS07glZ4IknMGgCIWACAXCEat3h8EM/zWRG0McsAYNQ4AECOcrujniqFB+LyPL/NQRvzoC+tFhELAJDzULdH26agjelkwFUPAECeie+tLNQbglsetPGDitGPDwCQl5aX+YGB2CGuhTdOaguDNn7EU0EecQCAwhLfvhoYKKj21VYFbUyXfQH3IQAAFCK3m29tjbpjODS03du0RZQP2pgZzYV0cAEAIMrYWNSN28KYyalk0Mb3zhdYdwEAAMSKv42Y7yN1FAvamMuWri5+dlapzwIAgNzi9RZOZ6cCQRvTV4x1lAAAQNTkZNTwnTztSd7UoI3vEMDsWAAAkBYTHHl3k3HzgjbmyVvoKwYAAJnie5LzqCt0M4J2eTlqjlTBP20LAADSEdOTnC/PWsg4aGMGPeX74DGAOH4P00ZEUOrabotzzi/rPVhaTYiaZmX9NUD+ipmukheDpDII2piWPp5BAQUqELQlHYNX2JDx4cGeOjVFqEbzdZ+M90DQAkSYnY16ukWO34tMN2iHhqIashj0BIUrELRxKbk2xxxUEWoXPbGa/D0QtABxYpYlYJjt3qA0pR60wYasNzQaO5cvNAAylihoA+lJ9IyH97G0jhAdzfpifht4VXTQcr4bNrpFSwU7odU17X2fe/xc8JVzTkt3rZoKdFBXHaRtN3wcD5CHortOvf/6r7mYOCkG7dAQr9WOFRUZi4qKcvn6AmDzJAraR9PWFoqQkp7RhykFLeexd2oJtccw8ImTZdmJy+eP7FWRHXsHb27wPO+ftnXuJlR1h/mD0Ql2YuQ9Y+MuQsoOWG+ube1uA2ydYB9qUVGRsahozGjc7g1KTQpB6z10aKCoSFsEkG/cGQ0vELtHOzFiO2moVVOE2mtyLfIpBe26y1RGkeJDzJ1AlzPnc392gbngnFnjNxZHXyklxVWmv64E34dbHDfuVpHilx2LGxnsRcB2nwoAWbT/8A8Dx497c2RMcipBW1Q0VFTUGrGrXQB5YTajzig5o45T6jpe9Qwfq6IIIZRa19TRQ5tPf3xlWugb9o727CakweJeidiAB87eSkL2mFwPM9iLgO0+FQBSQunTWlQ0VFTkPX8+8zK/BVLpOg7ekfV6vQzD1NfXK7ZVADkk4T3aCKndo+V5nvNNs44PBs2vGZ6rK6cIIaV19Pg9bobRq8VCncS8OUBeqq+vH3jjDe+hQ+ERUrkglaDFHVkAEekFrTAmWSxofS4rTdNWV0Qm37DUlRDqkG3+785eHSFNFvdSxJuvLrgnWfbmgh8DoqBghGa+5IKtWvgdIG/JCdrVW4P7KaLSdg44p32cb5q9ZNJrKCIatI++NteUhAdDsePDZ3sbNZSq6fR3a5x/mmnXUJSu02wbmRBuBps7dVRJ1dHL88hZKCjCXNtcgKAFyJCcoOV5/52RvuerAnNyirXNtG34rf3iXcec3/N5X3tNuI+Y0jb0nGHnhbFR677bly2G+tBvqfKmw5ZxD5qzANkKQQsAAKAgBC0AAICCELQAAAAKQtACAAAoCEELAACgIAQtAACAghC0AAAACkLQAgAAKAhBCwAAoCAELQAAgIIQtABZZfGGpaVYanHZDZ/bTut3EkII2amn7W7fJixDCwDKQdACZI9HHscrNTpdhUTQ+q7SunK95ZqP53nfNYu+XEdfxfJ4ANkMQQvA8/yi22Ex6IoJKda9/IknMuP8C+4v7BcYwYWPXAqukbNxh2mpeeUTx59qEgfthttSE174fcVtaSA1FneCUN5wW2rIXpphaP1OQnbq/zjmWXR/QuuLCSnW/+mq55FSewIAERC0UPA27jhertUZGLdvg+cfea6+a7m8IPyGW7jSpy+LWFy93OBYUGozfFdp3V6avb/htkgELe+7SuvUwauBBYehosZyI2Evs9tSQ4oDu+a7SuuKie5lxr3I8/dZurbY4FhUamcAIAxBCwXu0R3meXULcyc+rNZunnv5+LDnoddxZA/95ZLIa6WYyigSr8zkWhf7640fmBZdC/PDhpCOUvdo+Y07TEsxIaTmJUNbyx/HPIlv0UY1fzduWGrUwVRO0hQGgE2EoIXCtugwFId6YiNxj26zVz2r/MbNwb37zFMPldyIR3eYjprgrdZkLdprlpYOy43FDQ/778z7FkPbyw6RiwQ+9FYIWoDthqCFQrax6Hi5WCpvuEeuvp8fYOaUXVV9wWEoj2v8inZTx2zwxqLjZYkhyghagGyAoIVCljRv7jt7n2y0fs+t3Lx8xZNS2qbWdRxBskUbs8EIWoAcgKCFQrax6Hi5WPeKw/OI5zd87suMwx01VWb9mrmyRNvR9+6Rnnfcqd6lTXebYoN2wWEoJ8H/2bjDtBTvDE7vucEYaiTGNCFoAbIBghYKmy8w3YXoDO+yceOKNr5nWsqI+imjY9Yf+f/c39nT5lOW491tzx9hvom/wZsJ6aCNfmBFjcHikHhgBYIWIBsgaAFSxt21te963jJ+Y5o116lp1p/8JQBQsBC0AKny37V1lvWOL/HcKkuXNVmnlR0qBQC5DUELkCLujq19b6/zPs/ddXQ3dDvuImcBQAKCFiA13F1bu2pXg+HYYX39AcvXPsQsAEhC0AKk5NG09blK+pMbrsmpmUXcnAWApBC0ACnxOk1HB5V9UBQA5BUELQAAgIIQtAAAAApC0AIAACgIQQsAAKAgBC0AAICCELQAAAAKQtACAAAoCEELAACgIAQtAACAghC0AAAACkLQAgAAKAhBCwAAoCAELQAAgIIQtAAAAAraoqD1s7SaEKJnPHG/8TBthBA1zWJpz6w0w+jVhLQxnk05P+u+66fbtcVEvDDkLaH8Z17IN+t9kuMeXB88pKUIIWo9M6P0p0lRap99LK0jREezvozfanO/I1nJw+gL7Du7uRC0IG1zK5G/2Tt2EfJUn+sBtxlvlys2Kyw2Zhx/ouk/OaY3eH5ToyKO196hIqT2DZdvffPfPCVKBe3qjOPPNP1nx8xq6q+NOfIIWkgCQQvSNrcSKYAqSYwyYaFk0GZPxbp1rXj5ELSQmuwLWv/f2NNHGsqLiYDSNvScYedXee62tUlNqPZgaV5xWxoIIaSiz/WI43me5+7Y2ncS8gvz1MO4z+f8nnGLoV4deNNibTNtcwcaVZzvW7vp+So1Ffgl0VS1vzHiCV7nehg9Iepj50dOdgb/JvoPwh+S6hauepzvGmpLAx+rrmmnL7oTNSC4B24b3awtFtlID6MnZEfX2wzdoqVEdjBu9zVV7X+M+K30EYiuRPxz430HNKS0rvejW6Kbmuj0BbczTPRL678z0vd8xHH+/alje8M1Wsy5EAqNxCeKRVFEvT3D6NVkx4unmPCBpbQttO2GL765zd11dFcQsodmH4T/c2m8dydFSg87vOvSBzk2LKS2Of58hc9m+H0C36gg9cunzPsoUtHtuBs+rV57ZzGh6i3uNbHug4TbEPhKht5apOuYW7xl72uv0gT/hlJXPd83cidBziQ5ziJJGvlf0b/mfDds4XJOiLqmve9zj58TO26x5TxadNmQ/zWPPfI06xe+I42vD/w+YgdbTZEHxD/ntHTXBt6ZUlcdFC9mAauekTeCh5dSVz1vOnW0NuIQSX1hk9cGoZOYSn0lfHmfem3A1Brxtn0Rx0fy4Ms/vHkqy4KWWxg31lKktK5nYNg5wbLjw4M9dWqKqnp9/N7StLWFIjvbbXc4nuc3blhqhDLdYHGv8Hyws6vG4t6I+QjOP2frLKUo3Yun7OMsO+EcftdQVUI0B623lnh+0WXaS5Eyvemik2VZ9urI2ZerKEI1WaeFMhKIh5Kq7jPOaR/nv+s6/ZKWRPxB2KNUtnB1ztZVSkp0HW/aRq+yE5fPG/dpCKU5YL0lUi365+0GDSmpMrw77Jxg2asj51+pUxFq7+CtjdAWUprG3rPD4yx7deT8a40aKriDod3vNNtGJmJ/yyc7AuGg5XxfD7ZXUtSebiZBHSF1+oRUlrz290/bOncTqrrj1MdOlmWdH5/qqKYIiakNCSnRdfSds49OfD3jS/KJMoKWEKLZ13v2EyfLToy8Z2zcRUjZAevNtbh9W2J/v5tQpT0ji4H/Wffau4rJjnrL1FqygxwVFkm2Waq4RodO1N5xc8wBFVEdYOYCp2b11uB+ipR12n8UOVdJz5RUC4ZbcvVVU5RGb7rknGBZdmLkTHdVCaFarNOPxIpFkuOcQtByHnunllB7DAOfOFmWnbh8/sheFdmxd/DmRvJyHkMkaOV9zeNeG9xBqurls84ffNzqvOtMp1YVPiChgm3+YHRCupjxETXD23bnBMuO20+9qKNIuJKU/sImqQ0ipVJfJTk+yQ5+aoc3D21t0CYmlKGNW4N7KaJqPjftDx3+tTnmoPBdWheqknbbXY7npq1NVMkefdNuUlxjubHBbyw6Xi4m6ibr7bgTd9/Zq4tui3BLrncO6luP2O9w/H2X1UT3Dd0Oxduqs3dHxPdeKCK7f88uBf8gcV8WJ38LF0d6SilS1edaCTU7vU5jDSHlBsdC3PF76DLtIWRXO/N94DO5B+7PPmAuXJlZ4wJbqDrIzIW+tuuLzt8FU+Hvoz2VhNSbXIvRvyXFBsciz/NJjoBQiRywjDA9VSVEtf/ktYS3V6VP3wbPSwYtt+R8bSdR7aa/DNcHa9fM1cWxtWGdxR18/2SfKCdoSw8w4S87tzhu3K0ipa+MLsZer/EbNwf37iCqDttdoW1129qkDjZnkxzkyCKTbJuliqtE0Aa2gdpncS/xPM8vfUnvVkWV25TOlFTQbvhc79P0W/bboRP1wNlbmbgTO8lxTiFo112mMooUH2LuBFpCnM/92QXmgnNmLXk5jyEWtPK+5gmCVtfrvC/2BxuLo6+UkuIq019XYna/+GVHfDETukmiTtzDKfMvIoJW8gubpDaIkkJ9Jbztztec4scn2cFP7fDmoa0N2lrazsa4YqdDZWh93naIIjsard9H1g3cjLWREFWH3St0Zag6bHdXPEw7RRos18ZNFSpSP3ibW3AYysWvqdevmStVZIfRuZooIFYXpj7/cNBMv97T0byvVuhMiwnayBpHoojI3ULu4ejRkkCBDr941WncQagykyuuT5bzez45UlVCCCFqXWNHD20+c+nKD77INnejdSZy/4TvXpnJtTjaUxLX0A/9dj3pEQg2R4hKrS4hZHenbTrBVyPZ6eN5yaBdmjLXE1LZ64zom42pwYUOqPCBT/qJcoL2gHVmLe4T95hc8Tcg/HdtHapA1cM9cvVVhC4LHiY5yBEfmmybJYurZNBGbpLQ2o7KtggyzlSSe3Kcf2Hqsw9Pm+l/6+lo2V9bHtXxECvJcU6l63jVM3ysiiKEUGpdU0cPbT798ZVpHyfjFMQRC1qZX/Pk92gj/8A72rM73EyM2/2Yt16fMlcSsqPXGdGpKtQMkduS+AsrXRvEHAf5Nar08Ul68FM7vHkoq7qOpb7/VJttPlDT7Wz/0Plh+05SaZ5a97lMtYRqsU590lMS2W8WQbgKThS0/tnhI09SpLi84aVek8XKXHR8MdBRkm7Qyt3CmNtgIo17EZxvhv3sw8E3jYbW2vJiQih13XHnvXWpr1aleWo2+s5o/CclOQJCJVKm7/vCc/cLY1UJ0bQNukXr06Snj5cMWqHVHhO0YjfS5AUt1WabTz9o681TYv2NQmuj+uTU2t9HeyrD7QZPkoMsM2ipNtu8ZHGVDNpgm7v0ldG/X7PU7xBvl8s6btJBG0g7qryxq9dksTI2x/BgR3laQVtvnlpKJWh5nuc53zTr+GDQ/JrhubpyihBSWkeP30t2CuJsWdCGLlXjiRyxdZepLDZoo7dF+gsrXRvEXnDIrlGlj0/Sg4+g3ZqPkXmPNtCjFZWXK9PWtnCP1qLDUEyK9+n3FasqTJOPAv2N6r36hp2hmw2xhG6NyEFSwk0mVaX52qMpcyUhJd2OcH+oaNex/CIiawuF/yyps9yIeA/Ov3CTZSfdC/EDBO67rCaaft/lC9WbS25LEyGlbbY5ic6inb3jS0I2RHS38jzP+xfcLMu6F/zBK+jERyCyEln3Xftzo4pQ1ccnFkXaCMlPn1TQCj1sUl3HQh0UeeCTfWJ80AodpMm6jiO7yKIInXh7fnf+rQOqiE1NdpBFuo4TbrNUcV2VDtpAvVn6TEfr7sDNY3HJz5RE0Apt7pL/5XgQKgPpdh3vfM25xMV/n4QuTZGg9bmsNE1bXRHXTTcsdSWEOmT7flT6FMTZsqAV7gU0Bbr0A1YX3JMse3PBH1fMhJtKibuOk3xhpWuD+F2RWaNKH59k5R9Bm11BK2M0zYLDUC5cDAbuiAjnmBBS3GX3ig7Z5dZuWQ9oxEeXCF9pqvY1++1FjvPNsJcCA3BC9UjKRUTeFvpvM+3lofERLHt11PZmh66EqjKOzIu09q6bn6LCg6EmnMNneht3EdWBwe+Wkg1/WJlmOjShUVcsOzH6gbmjmqKePDryIxes1BIfgZhKRHg3lbb7kie+jshwMNTaTeuBMonBUCIHPsknCgOCVNrOAee0j/NNs5dMeg1FooJW5mCo4AfOMQdU1A71Dip0NzR8WBIe5JQGQ0kUV7EWrbbbMR8+E6HCFrqXLL4bGQyG4qaZA6WE2ttr/87HrftmvgqO1onekrAkx1lIfaJ9adD5g4/zzbAfmfRl4cZQ5D4/+tpcUxIeDMWOD5/tbdRQqqbT360lOQVxMg/a0P5KBy3nn2baNaGBQiw7MWIzd+qokqqjl8WO19It60FN4sFQSb6wKQyGEsirr5Icn2QHH0G7NR+TwfSeCn3vuciZD0vO13YSQkqOjj4UCqlwwZhoyINg3XdryNReE5ovUd5ovBAYeh45kp5Q2uZeq+PzU89pCCHUIdv8eupFRO4Wcr7vPguP+CeE0jYcHnAmGu8eNe+FEFJc3nDkNPu38NVi7dFTJyJH3p+w31oMfIu5xdufWcLziEhxecNhi3MudL9H8gjcjq1EuB9Hjj5JJUqjJKcvyYxDzvetPbQXVEXziXMDht2hW1niB176E6OOW7G2mbYNv7U/Kmj3HjsVOe2k9YT928TzLkLzfKjS7mFvVMer1EFONr0n5iglLK7R77N+z3m8Tti18O03ofUT3TEgSnobJEcd+z2f94U2j6rQ954d+fztZg0V6GKJlfQ4x5TAFtr20an9arGu4+iPJtEzo5KU8xiZBG3MkZcOWp7n1323L0dMfSFUedNhy7jIpWrgAC/esp8IHqtibfMJ28CvI0ZvSH5hJ88lqQ3iPkxWfZX0+EgffATtdm8AZCxf5pJzC66PmAsfuSKu8rlppllDVL9O0FeRoXx8zgD3o72zLPFMm22Rj8dZOdy866MLzEeuhfDXwO9h2imyq8P+t+Qvz5faIM8gaHNf3ny1lr4yVZcEJyNy/oXrQ+aD5aSkir6iwKOP+HwLAP+Cm50YP3+kioprbW+z/DrOilt0mfZS1J7us85p3zrvn58aerOtXEVV/XHCJzq0LVre1Ab5BUGb++6N0s36Znr03nZvSMZiOwaT9LBlan6Ubtc3Hx+9t92P890U87Y2ihCiqeo8c33bH1AcJb+O8xaIuU8kfVMpRv7UBnkFQQsAAKAgBC0AAICCELSClNZJFUZKb/c6nQFKLuGyaZJuZI7fxks+hHITdzC3jhXn94xbDjeVU1tzOwAgG21Z0K56nAOHG0KrbpTWGt6Nuuvgn3NaDocnG6jrDRHfxqhZH9G/CjyDu7TLNpfJQhDS66TG5ASCNlVJ1/7MzvCQfWw3poV1YmcSjlbJZAdzeVG2pa9M1SWhGbTBudFSD9MAyD9bE7T++RFjFUVpGl87P3I1NIc6PDs+MDVzV6PxvZEJNriUTUmV8Yt7HM/zXmdvNdG+dNp1188t3h7+fYNKs896a4PnA7P7S+uM4wuZXSFLV14IWqVlZ3hs4rEtzKAVe6a38FxckccBAuStLQla4ZltO38zGn5un/BUsMDz3tanzJWE2nlkJDynWljKhto/eGtV6JeL6JabYfTqQAfvytfmup3V9JVEk7HD0l4nVWT5SSFodzz1+p9NzRWBNjpV0Wz6PLKdLXutWeHddnedOk1Hvlvo70W6JSNr3uhaWGLZ2nS26ufHmI9OduyJeM6q1LKaidcKjZu/f2voRNTOnjj8ZElEeEiubZlkH2OszrNnesJdKREP+pB+ErLIeV/3uS+Gz1HkIqyx5yjpDso+EVuw+qn0GsDSS88mWf1UWOfHZHWFlrXh/NPnmlUFtD4aAL9FQSs6tUuYjaBnPOINROG558J/ep291UTTah793rc2P3WJDrRoOe8EXV/c+M43K8m+shk+GlC8RUtIcK6bf/6r050/J+FF+lJbaza4wMCuxt4zw86J2L9PIWgll61Nb6uo6o43z9lHv/x6xsdJL6sptVaoyBPpiGaf8fzlCXbCOTzQUydEjnD8pde2lN7HGOv3xl+voih1Xc/gsPA4w4GeulJC1RrHF7gkSw7Enndu/lKnhqKqugeGx1mWnRixHqlTR14Lhp9elGQHUzoR8cVvU1c/TbIGcLKlZ1N74N+679ZHvXWlRPOc5XrCxRYB8s+WBO3qBL2Lin5Qu7CMtlA3cassvSv2mdcPWHoPCTek7oyYwvdou89d83H+eccRraaDmV4R+cRoma2TyicI2qgNjqppU1trNhBpUU94D/x9Zc/o31MJWslla9PZqshlD5Itqym1Vmj8M9ZrjM7QMxUCrZzg8Zde21JyH2MEVpBts0YUksCjYvcO3tpILWiFJQ2K2y/cCZSidZ/78wvMRefMSvTLku1gaicidjM2dfXTpGsAJ1t6NoXVT1c9jt/VqSlK12WdQspCYdmae7TCY7KLtc30+ZGrLDs+fPZ3gV4voW4KPE2+opl+f2SCZZ2fnH090BOVYCCn0GioeNEusixenAzXSeXl3KONqGlTXWs20BEdvXkRf59C0EosW5veVkWGUNJlNROvFRq5kaLrrXLfJ02YygAABDRJREFUDtYHe1aTrG0puTRvDKHXJGbJMO57a+MOovq13fsgpaANLk9GCNHoGg/10ObTl76cju/eT7KDaymeiLjN2MzVT2WsASy99Kzs1U8D1zd1b7iy62EaAFthq0YdR9/pobQt9Lk/HYqoTznft3ZT1MPfz735fFx9FLR203qgIjBUyj83frIz8EJK29Dz/lTsNznDdVL5FIM21bVmJYJWVWm+lkrQCi8VXbZ2Na2tigwhWctqiq8VykUGreh6qxHHX87CoomW5o0hEbTUIdt8ikHL8zy/7pv5q+PD02aj4TkhctQNtHMhaqW3JDu4kvpSxMqtfpp0DeBkS8/KXv20wJ4hDxBla4I2fvFFoetYWAFRdNlIoeu41uTyxb4Zd9/V16AKXBovukx7qcACW6sLUx/RDaWagx96ots3ma2Tyqfaok1xrVmJrmNdr/O+SBUlrFMmErQSy9beSXGrhCo4smpOtqymxFqhUZEm9AxH9qzynNfeWUwCxz/J2paSS/PGCHQdR3ZsBgfjiHcdR65Wy8d0yYqM63Fb6oRrtahzJL2DaymeCD7FoE1p9dNkawAnXXo21dVPAQrSVnYdBwf7sFdHztPN2hJN87uBh7IKXcehyXYTl8/TLVqqrNnydVyX4Pq98derivWWb4RKJxC0p113/fy67/YnokG7SYOhQstPSgdtqmvNJhsMJaQF+Xnn4Pi0b80389Ul0wFNuIESdY9Watna1LYqPoSSLasptVZoVP+2sN5qxFihM72NuwgJBm2StS0l9zGW9GAo6dVqY8479+j6yRqKhAZDsc5Pzvbu0xBN06B7LXowVJIdTO1ExBe/TV39VHoN4KRLz8oeDLUxI8w0npbxXHyAfLNlXcdRUzKo8r0d0fMZomeGFJfXdYhNSOD8nkvd2t3tzO2ImQwRkxPEu46FP8tkndSY5SeTBW1qa80Ghh3VHnszakLIiaFbgR2JXf6zmb4wfOqAeNexxLK1qW2V6BRS6WU1JdYKjZveEzlPhqpopk+f6todPv7Sa1tK7mOc2Ok9Wr3RGvpjqdVq48971Dqgwu73nJ6Y98ePDE+yg6ktRazw6qeSawAnW3o26VrIQeg6hkKGRzBuu6x6/AUUlkzXAMaibAAyIGi3HYIWtk+GawAjaAFkQNBuu/V7o8eb9e306Px2bwkUoMzWAMbqpwAyIGgBAAAUhKAFAABQEIIWAABAQQhaAAAABSFoAQAAFISgBQAAUBCCFgAAQEEIWgAAAAUhaAEAABSEoAUAAFAQghYAAEBBCFoAAAAFIWgBAAAUhKAFAABQEIIWAABAQQhaAAAABSFoAQAAFISgBQAAUBCCFgAAQEEIWgAAAAUhaAEAABSEoAUAAFAQghYAAEBBCFoAAAAFIWgBAAAUhKAFAABQEIIWAABAQQhaAAAABSFoAQAAFPT/AUjbm04IrX8XAAAAAElFTkSuQmCC" width="400" /></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">
</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
A figura acima representa a
dimensão relativa entre o pulso de microondas e a lacuna entre os
prismas. O pulso é muito maior que a barreira a qual se comporta como um
elemento condensado, tal como seria um capacitor.</div>
<div style="text-align: justify;">
<br />
<br />
Nimitz e Stahlhofen dizem ter medido o tempo de atraso tanto dos feixes transmitidos, quanto dos refletidos e encontraram que ambos os feixes sofrem um atraso de 100 pico-segundos (ps). Todavia, este atraso não se trata do tempo de travessia de nada viajando entre os pontos A até B, pela lacuna "d". Simplesmente é o tempo que leva para a energia ser armazenada na lacuna, no interior do volume da secção transversal "s <i>X </i>d"<span class="" id="result_box" lang="pt"><span class="">, para que o feixe escape por meio </span><span class="hps">da</span> <span class="hps">reflexão</span><span class="">, da transmissão,</span> <span class="hps">e</span> <span class="hps">por canais de</span> <span class="hps">desvio lateral.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span class="" id="result_box" lang="pt"><span class="hps">Este</span> <span class="hps">tempo é igual</span> <span class="hps">para ambos os</span> <span class="hps">pulsos,</span> <span class="hps">refletidos</span> <span class="hps">e transmitidos</span>, <span class="hps">como seria de esperar</span> <span class="hps">acerca da energia armazenada</span>, que vaza pelo<span class="hps">s dois</span> <span class="hps">lados de uma</span> <span class="hps">cavidade</span> <span class="hps">simétrica</span> <span class="hps atn">conforme a figura abaixo:</span></span></div>
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<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
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<br /></div>
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<a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><img alt="" height="315" 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" 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<span class="" id="result_box" lang="pt"><span class="hps">Este</span> <span class="hps">tempo de vida</span> <span class="hps">da cavidade</span> <span class="hps">é proporcional</span> <span class="hps">à energia armazenada</span>. <span class="hps">A energia armazenada</span> <span class="hps">na onda</span> <span class="hps">evanescente</span> <span class="hps">é menor do que</span> <span class="hps">seria se fosse armazenada</span> <span class="hps">numa onda</span> <span class="hps">de propagação</span> <span class="hps">livre</span>, que <span class="hps">ocupasse o</span> <span class="hps">mesmo volume.</span> <span class="hps">É por isso que</span> <span class="hps">o atraso se verifica</span> <span class="hps">menor que para</span> <span class="hps">uma onda</span> <span class="hps">livre</span>.</span><br />
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<span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class="hps">há que se </span><span class="hps">notar também que</span> <span class="hps">a força do</span> <span class="hps">pulso transmitido</span> <span class="hps">é cerca de</span> <span class="hps">quatro ordens de</span> <span class="hps">grandeza menor</span> <span class="hps">do que a do </span><span class="hps">pulso</span> <span class="hps">incidente</span><span class="">, o que significa</span> <span class="hps">que a intensidade tunelada</span>, mesmo que em seu <span class="hps">máximo,</span> <span class="hps">é sempre menor</span> <span class="hps">do que a intensidade</span> <span class="hps">do pulso</span> <span class="hps">livre</span><span class="atn"></span><span class="">.</span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class=""> </span></span></span><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><span class="hps">A energia é armazenada</span> <span class="hps">brevemente</span> <span class="hps">numa</span> <span class="hps">onda evanescente</span> <span class="hps">que decresce exponencialmente</span>. <span class="hps">A energia é</span> <span class="hps">transportada na vertical</span> <span class="hps atn">(</span><span class="">para baixo)</span> <span class="hps">para produzir o</span> <span class="hps">deslocamento</span><span class="hps"> "Goos</span><span class="atn">-</span>Hanchen", <span class="hps">enquanto</span><span class="hps"> escapa pelos</span><span class="hps"> lados.</span> <span class="hps"> </span></span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><span class="hps">A maioria da energia</span> que <span class="hps">escapa segue para a </span><span class="hps">onda refletida</span>, que, em d<span class="hps">etalhe, é </span><span class="hps">o</span> <span class="hps">decaimento exponencial</span> <span class="hps">da densidade de energia</span> <span class="hps">de U com </span> <span class="hps"><i>z</i>.</span></span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps">De acordo com a</span> <span class="hps">New Scientist,</span> <span class="hps">Nimtz</span> <span class="hps">e</span> <span class="hps">Stahlhofen</span> <span class="hps">também constataram que</span> <span class="hps">"o tempo</span> <span class="hps">de tunelamento"</span>, em nada <span class="hps">se alterou</span> <span class="hps">quando eles afastaram </span><span class="hps">os prismas</span> utilizados no experimento.<span class="hps"></span></span><br />
<span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></span></span> </span></div>
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<span class="" id="result_box" lang="pt"><br /><span class="hps">Isto seria algo difícil</span> <span class="hps">de explicar para</span> <span class="hps">o "tempo</span> <span class="hps">de tunelamento</span><span class="">"</span>, caso ele tivesse um <span class="hps">tempo de trânsito</span> <span class="hps">de A para</span> <span class="hps">B. A explicação a ser dada deveria considerar a explicação de</span> <span class="hps"> como</span> <span class="hps">seria</span> <span class="hps">o pulso</span><span class="hps"></span> <span class="hps">tão inteligente a ponto de que</span> <span class="hps">ele conhecesse o aumento d</span><span class="hps">a distância</span> <span class="hps">entre a e B</span> <span class="hps">e, em razão disso d</span><span class="hps">evesse</span> <span class="hps">acelerar</span>, de modo a <span class="hps">cobrir uma distância</span> <span class="hps">maior no</span> <span class="hps">mesmo tempo.</span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Por outro lado</span>, este <span class="hps">efeito, é conhecido como</span> <span class="hps">o efeito</span> <span class="hps">de Hartman (<a href="http://en.wikipedia.org/wiki/Hartman_effect">aqui</a> e <a href="http://sitemaker.umich.edu/herbert.winful/files/physics_reports_review_article__2006_.pdf">aqui</a>), que é o </span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps">tempo de atraso</span> <span class="hps">para uma partícula sob tunelamento</span><span class="hps"></span> <span class="hps">quântico, o qual</span> <span class="hps">é independente da</span> <span class="hps">espessura d e uma barreira</span> <span class="hps">opaca.</span> <span class="hps">É o efeito</span> <span class="hps">de tunelamento</span> <span class="hps">através de uma barreira</span><span class="">, para a qual o</span> <span class="hps">tempo de tunelamento</span> <span class="hps">tende</span> <span class="hps">a</span> <span class="hps">uma constante ainda que para</span> <span class="hps">grandes</span> <span class="hps">barreiras.</span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Para o trabalho de Nimitz e Stahlhofen, quando</span> <span class="hps">os prismas</span> <span class="hps">estão em contato</span>, a luz <span class="hps">passa direto</span><span class="">, mas quando</span> <span class="hps">existe uma lacuna</span>, a luz <span class="hps">é refratada</span>. <span class="hps">Há uma</span> <span class="hps">probabilidade finita</span> <span class="hps">de que</span> <span class="hps">um fóton</span> seja tunelado através da lacuna, em vez de <span class="hps">seguir o caminho</span> da luz <span class="hps">refratada</span>. <span class="hps"> </span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Para grandes lacunas</span><span class="hps"> entre</span> <span class="hps">os prismas</span>, o<span class="hps"> tempo</span> <span class="hps">de tunelamento aproxima-se</span> de <span class="hps">uma constante</span> <span class="hps">e, portanto,</span> <span class="hps">os fótons</span> <span class="hps">parecem ter</span> <span class="hps">cruzado a lacuna em </span><span class="hps">velocidade</span> <span class="hps">superluminal</span>.</span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><br /><span class="hps">No entanto,</span> <span class="hps">uma análise</span> elaborada <span class="hps">por Herbert</span> <span class="hps">Winful</span> <span class="hps">sugere que o efeito</span> <span class="hps">Hartman</span> <span class="hps">não pode ser</span> <span class="hps">efetivamente utilizado</span> <span class="hps">para violar</span> <span class="hps">relatividade</span>, <span class="hps">transmitindo sinais</span> <span class="hps">mais rapidamente do que</span> <span class="hps">a</span> velocidade "<span class="hps">c</span>".</span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt">Isto se dá, <span class="hps">porque o tempo</span> <span class="hps">de tunelamento</span> <span class="hps">"não deve ser</span> relacionado<span class="hps"> a</span> <span class="hps">uma velocidade,</span> <span class="hps">pois que</span> <span class="hps">ondas evanescentes</span> <span class="hps">não se propagam</span>"<span class="hps">.</span> <span class="hps">Portanto,</span><span class="hps"> Winful</span> <span class="hps">quis dizer </span><span class="hps">que</span> <span class="hps">os fótons</span> <span class="hps">que atravessam a</span> <span class="hps">barreira</span> <span class="hps">são</span> <span class="hps">fótons virtuais</span>, <span class="hps">somente</span> <span class="hps">existentes</span> <span class="hps">quando há interações</span> <span class="hps">e não poderiam</span> <span class="hps">propagar-se</span> <span class="hps">para o mundo exterior</span>.</span> </span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class="hps">As partículas virtuais (ver <a href="http://science.jrank.org/pages/7195/Virtual-Particles.html">aqui</a> e <a href="http://en.wikipedia.org/wiki/Virtual_photon">aqui</a>)</span> <span class="hps">são</span> <span class="hps">partículas subatômicas</span> <span class="hps">que se formam</span> <span class="hps">a partir do</span> <span class="hps">"nada"</span> <span class="hps">(campos</span> <span class="hps">de vácuo</span> <span class="hps">conceitualmente</span> <span class="hps">análogos a</span> <span class="hps">linhas de força</span> <span class="hps">entre</span> <span class="hps">polos magnéticos</span><span>)</span>. Seu período de duração é <span class="hps">extremamente</span> <span class="hps">curto </span> <span class="hps">e</span><span>, em seguida,</span> <span class="hps">desaparecem</span> <span class="hps">novamente.</span><br /><br /><span class="hps">Tais partículas</span> <span class="hps">permeiam</span> <span class="hps">o espaço,</span> <span class="hps">medeiam o</span> <span class="hps">decaimento</span> <span class="hps">de partículas,</span> <span class="hps">e medeiam</span> <span class="hps">a interação</span> <span class="hps">entre as forças</span> <span class="hps atn">fundamentais, ou seja: a força </span><span class="">eletromagnética,</span> <span class="hps">a força fraca</span> <span class="hps">e a força forte</span><span>,</span> (<span class="hps">de acordo</span> <span class="hps">com a teoria quântica) e a força</span> <span class="hps">gravitacional</span><span class="hps"></span><span class="hps"></span><span></span><span>.</span> <span class="hps"> </span></span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"><span class="hps">As partículas virtuais</span> <span class="hps">são reais</span> <span class="hps">e têm efeitos</span> <span class="hps">mensuráveis</span><span>, porém o mesmo</span> <span class="hps">princípio de incerteza</span> <span class="hps">que lhes permite</span> <span class="hps">entrar em existência</span>, <span class="hps">propriamente dita, que</span> <span class="hps">elas não podem ser</span> <span class="hps">diretamente observadas</span><span>.</span></span> </span></span></span><br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"> </span></span></span>assim, com base no efeito Hartman fica <span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="">fácil de</span> <span class="hps">se</span> <span class="hps">explicar</span> que o<span class="hps"> atraso calculado entre </span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">t<sub>1 </sub>- </span></b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><b>t<sub>2</sub> </b></span>, </span></span></span></span></span> se trata</span> <span class="hps">do tempo de vida</span> <span class="hps">de energia armazenada</span>. </span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">A densidade de energia</span> <span class="hps">na onda</span> <span class="hps">decai</span> <span class="hps">exponencialmente com a distância</span><span class="">.</span> <span class="hps">A energia total</span> <span class="hps">é dada pela integras da </span><span class="hps">presente</span> <span class="hps">densidade de energia.</span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">ou seja:</span></span></span></span><br />
<br />
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<div class="MsoNormal">
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span style="font-size: large;"><b><span style="font-family: "Times New Roman","serif"; line-height: 115%;"><span> </span><span style="color: #0b5394;">E = ∫Ψ(e)</span></span></b></span></span></span></span></span></div>
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">
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<b><span style="color: red;"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Ψ(e) = densidade de energia;</span></span></span></span></span></span></span></b></div>
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<b><span style="color: red;"><br /></span></b>
<b><span style="color: red;">E = energia total.</span></b></div>
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<span class="" id="result_box" lang="pt"><span class="hps">Esta</span> <span class="hps">energia total</span> <span class="hps">satura-se</span> <span class="hps">com</span> <span class="hps">comprimento</span> <span class="hps">lacuna.</span> <span class="hps">Uma vez que o</span> <span class="hps">atraso de grupo</span> <span class="hps">é proporcional</span> <span class="hps">à energia armazenada</span><span>, este se </span><span class="hps">satura</span> <span class="hps">da mesma maneira, ou seja, de acordo</span> <span class="hps">com o comprimento</span> <span class="hps">lacuna.</span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">A saturação referente ao</span> <span class="hps">atraso de grupo</span> <span class="hps">e</span> <span class="hps">a saturação referente ao desvio </span><span class="hps">Goos</span><span class="">-Hänchen</span><span class="hps"></span> <span class="hps">estão ligados</span><span class="">, uma vez que</span> <span class="hps">é o desvio</span> <span class="hps">que determina este atraso.</span><span class="hps"></span></span></span></span><br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps">Uma</span> <span class="hps">imagem física</span> <span class="hps">acerca do desvio "Goos Hänchen"</span> <span class="hps">e</span> do <span class="hps">atraso,</span> <span class="hps">é a de um</span> <span class="hps">feixe incidente</span>, o qual penetra e preenche a lacuna entre os prismas.<span class="hps"> E</span><span>m seguida,</span> <span class="hps">se deslocam</span> <span class="hps">verticalmente</span> <span class="hps">uma</span> <span class="hps">distância "s"</span> <span class="hps">antes de saírem por </span><span class="hps">ambos os lados da</span> <span class="hps">lacuna.</span></span></div>
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Da mesma forma que Einstein fazia para explicar a Teoria da Relatividade, a analogia do trem será utilizada para explicar o efeito Hartman:<br />
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<span class="" id="result_box" lang="pt"><span class="hps">Primeiro</span> <span class="hps">vamos supor que o</span> <span class="hps">atraso de grupo</span> <span class="hps">mede</span> <span class="hps">o tempo que leva</span> para se<span class="hps"> esvaziar</span> <span class="hps">um trem</span> <span class="hps">de todos os</span> <span class="hps">passageiros a bordo.</span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"> <span class="hps">É evidente que</span> <span class="hps">quanto mais as pessoas</span> estiverem <span class="hps">no trem</span>, <span class="hps"></span><span class="hps"> levará mais tempo</span> <span class="hps">para esvaziá-lo</span><span class="hps">.</span> <span class="hps">Suponha que</span> <span class="hps">os carros do</span> <span class="hps">trem</span> <span class="hps">sejam ocupados</span> <span class="hps">da seguinte forma</span><span>:</span> <span class="hps">cada carro</span> <span class="hps">sucessivo</span> <span class="hps">detém</span> <span class="hps">apenas metade</span> <span class="hps">do número de passageiros</span> <span class="hps">que o carro</span> <span class="hps">anterior.</span></span></span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Em outras</span> <span class="hps">palavras, os</span> vagões <span class="hps">são</span> <span class="hps">carregados de acordo com</span> <span class="hps">a fórmula</span> <span class="hps">N, N</span> <span class="hps">/ 2</span><span class="">, N</span> <span class="hps">/ 4,</span> <span class="hps">N /</span> <span class="hps">8</span> <span class="hps">N/16</span><span>,</span> <span class="hps">...e assim sucessivamente.</span></span> </span></span></span><span class="hps"></span></span> </span></span><br /><span class="" id="result_box" lang="pt"><span class="hps">Então</span><span>,</span> <span class="hps">não importa o tamanho</span><span class="hps"></span> d<span class="hps">o trem</span><span>; o número de</span> <span class="hps">passageiros a bordo</span> <span class="hps">nunca</span> <span class="hps">excederá</span> <span class="hps">2N.</span> <span class="hps">Uma vez que</span> <span class="hps">o atraso é</span> <span class="hps">proporcional ao número</span> <span class="hps">de passageiros</span> <span class="hps">no trem</span><span class="">, o atraso</span> <span class="hps">também</span> <span class="hps">irá se saturar de acordo</span> <span class="hps">com o comprimento</span> <span class="hps">do trem. </span></span><br />
<br /><span class="" id="result_box" lang="pt"><span class="hps">O tempo de atraso</span> <span class="hps">é o</span> <span class="hps">tempo que leva para</span> <span class="hps">as pessoas demoram para sair do trem, e é</span><span class="hps"></span> <span class="hps">proporcional ao número</span> <span class="hps">total de passageiros</span> <span class="hps">no dentro do trem</span><span class="">.</span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><span class="hps">Se o número de</span> <span class="hps">passageiros</span> <span class="hps">tornar-se independente</span> <span class="hps">do comprimento</span> <span class="hps">do</span> <span class="hps">trem</span><span class="">, </span> <span class="hps">o tempo de atraso</span> também <span class="hps">torna-se independente</span> <span class="hps">do comprimento</span> <span class="hps">do comprimento do trem.</span><span></span></span> </span></span></div>
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" 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<span class="" id="result_box" lang="pt"> <span class="hps">Nimtz</span> <span class="hps">e</span> <span class="hps">Stahlhofen</span><span> também, se valem de uma analogia do trem: u</span><span class="hps">m</span> <span class="hps">comboio de 20</span> <span class="hps">carros</span> <span class="hps">deixa</span> <span class="hps">Chicago</span> <span class="hps">para Nova York. </span></span><span class="" id="result_box" lang="pt"><span class="hps atn"></span><span class="">O cronômetro</span> <span class="hps">é acionado quando</span> <span class="hps">o centro do</span> <span class="hps">trem sai</span> <span class="hps">da estação,</span> <span class="hps">mas o trem</span> <span class="hps">deixa</span> <span class="hps">carros para trás</span> <span class="hps">em cada uma de suas paradas.</span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Assim, quando o</span> <span class="hps">trem chega</span> <span class="hps">em Nova</span> <span class="hps">York,</span> <span class="hps">ele terá </span><span class="hps">apenas dois vagões</span><span>, ou seja, o seu centro</span> <span class="hps">avançou</span><span class="">, embora o</span> <span class="hps">próprio trem</span> <span class="hps">não tenha excedido</span> <span class="hps">a velocidade</span> <span class="hps">relatada.</span> <span class="hps atn">"</span></span> </span></span><br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Note-se que</span> <span class="hps">de acordo com esta</span> <span class="hps">analogia,</span> <span class="hps">o trem que</span> <span class="hps">chega</span> <span class="hps">em Nova York é</span> <span class="hps">muito mais curto</span> <span class="hps">do que aquele</span> <span class="hps">que deixou</span> <span class="hps">Chicago.</span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Esta analogia</span> <span class="hps">é</span> <span class="hps">uma variante do</span> <span class="hps atn">chamado "argumento da </span><span>remodelação</span><span class="">" </span> <span class="hps">para a existência de</span> <span class="hps">velocidades</span> <span class="hps">de tunelamento superluminais</span><span class="hps">.</span></span></span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">De acordo com este argumento</span><span class="hps">,</span> <span class="hps">a barreira</span> <span class="hps">transmite a</span> <span class="hps">extremidade dianteira do</span> <span class="hps">impulso e</span> <span class="hps">costeletas de</span> <span class="hps">fora da extremidade</span> <span class="hps">traseira</span><span>, o que resulta</span> <span class="hps">em uma mudança</span> <span class="hps">para a frente</span> <span class="hps">do pico</span> <span class="hps">do</span> <span class="hps">impulso além de seu</span><span class="hps"> encurtamento</span><span class="hps"></span><span>.</span></span></span></span></span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"></span></span></span></span></span></span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class="hps">Infelizmente, este</span> <span class="hps">argumento</span> <span class="hps">não se sustenta</span>, seja <span class="hps">pelas observações</span> <span class="hps">experimentais</span><span class="">, seja</span> <span class="hps">por meio de simulações</span><span class="">.</span></span></span></span></span></span></span></span></span></span><br />
<br />
<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span><span class="" id="result_box" lang="pt"><span class=""><span class="" id="result_box" lang="pt"><br /><span class="hps">Em todos os</span> <span class="hps">casos, o</span> <span class="hps">pulso transmitido</span> <span class="hps">tem o mesmo comprimento</span> <span class="hps">e</span> <span class="hps">a mesma forma do</span><span class="hps"> pulso</span> <span class="hps">incidente,</span> <span class="hps">embora muito</span> <span class="hps">atenuada</span> <span class="hps">em intensidade.</span> <span class="hps">O argumento</span> da <span class="hps">reformulação</span> <span class="hps">simplesmente</span> <span class="hps">não se aplica aos</span> <span class="hps">pulsos</span> tunelados <span class="hps">deve ser posto de lado</span><span class="hps">.</span></span> </span></span></span></span> </span></span> Assim, de acordo com Winful, o experimento de Nimtz e Stahlhofen pode ser resumido como:</span></span></span></span><br />
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps"> </span></span></span></span><span class="" id="result_box" lang="pt"><span class="hps">1)</span> <span class="hps">A experiência</span> <span class="hps">de</span> <span class="hps">Nimtz</span> <span class="hps">e</span> <span class="hps">Stahlhofen</span> <span class="hps">é </span><span class="hps">clássico</span> <span class="hps">precisamente descrito</span> <span class="hps">pelas equações de Maxwell</span><span class="">.</span> <span class="hps">Não é</span> <span class="hps">uma experiência de</span> <span class="hps">mecânica</span> <span class="hps">quântica.</span><br class="" /><br class="" /><br class="" /><span class="hps">2)</span> uma vez que este experimento é<span class="hps"> descrito pelas</span> <span class="hps">equações</span></span><span class="" id="result_box" lang="pt"><span class="hps"></span> <span class="hps">de Maxwell</span><span class=""> (totalmente relativísticas), os resultados</span> <span class="hps">não violam</span> <span class="hps">a relatividade especial</span><span class="">.</span> <span class="hps">Em vez disso,</span> <span class="hps">eles</span> <span class="hps">afirmam a</span> <span class="hps">teoria da relatividade especial</span><span class="">.</span><br class="" /><br class="" /><br class="" /><span class="hps">3)</span> <span class="hps">Nada</span> <span class="hps">foi observada</span>o <span class="hps">viajando</span><span class="hps"> mais rápido</span> <span class="hps">que a luz.</span> <span class="hps">O atraso</span> <span class="hps">medido é o</span> <span class="hps">tempo para que a </span><span class="hps">energia armazenada</span> <span class="hps">vaze</span> por<span class="hps"></span> <span class="hps">ambos os lados da</span> barreira entre as lacunas do prisma<span class="hps">.</span> <span class="hps">A igualdade dos</span> <span class="hps">atrasos de transmissão</span> <span class="hps">e</span> <span class="hps">reflexão é</span> <span class="hps">o que se espera</span> <span class="hps">para a energia</span> <span class="hps">vazando</span><span class="hps"> por ambos os</span> <span class="hps">lados de uma</span> <span class="hps">barreira</span> <span class="hps">simétrica</span><span class="">.</span><br class="" /><br class="" /><br class="" /><span class="hps">4)</span> <span class="hps">Os autores</span> <span class="hps">não</span> <span class="hps">poderiam observar</span> <span class="hps">o tunelamento</span> <span class="hps">através de uma abertura</span> de um <span class="hps">metro, uma vez que</span><span class="hps"></span> <span class="hps">a transmissão</span> <span class="hps">teria sido</span>de <span class="hps">-880</span> <span class="hps">dB ou</span> <span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"></span></span><span class="" id="result_box" lang="pt"><span class="hps"></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">10<sup>-88</sup></span><span class="" id="result_box" lang="pt"><span class="hps"> </span></span><span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">dB</span></span></span><span class="">.</span><br class="" /><br class="" /><br class="" /><span class="hps">5)</span> <span class="hps">A saturação</span> <span class="hps">do atraso</span> devido ao <span class="hps">comprimento de</span> <span class="hps">lacuna</span> <span class="hps atn">(</span><span class="">efeito Hartman</span><span class="hps"></span><span class="">)</span> <span class="hps">é devido à</span> <span class="hps">saturação da</span> <span class="hps">energia armazenada</span><span class="">.</span><br class="" /><br class="" /><span class="hps">6)</span> <span class="hps">Não há necessidade de falar sobre </span><span class="hps">partículas virtuais</span> <span class="hps">para entender</span> <span class="hps">esses efeitos.</span></span><br />
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<div id="gt-ft-mkt">
<div class="gt-ft-promos">
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<span class="" id="result_box" lang="pt"><span class="hps"><span class="" id="result_box" lang="pt"><span class="hps">Portanto, há muitas dúvidas acerca do trabalho de Nimitz e Stahlhofen, no que se refere a efeitos superluminais.</span></span></span></span></div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-33454916535630271072013-07-12T13:20:00.004-03:002013-07-12T13:24:31.962-03:00O UNIVERSO DOS TÁQUIONS - Parte 7<div style="text-align: justify;">
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<span style="color: magenta;"><b>EVIDÊNCIAS E POSSÍVEIS ERROS:</b></span></div>
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<b><span style="color: red;">3 - Em terceiro lugar, no âmbito da mecânica quântica (teoria que rege os
fenômenos na dimensão das moléculas e dos átomos e suas subpartículas),
experimentos têm verificado que um fenômeno peculiar do mundo quântico
ocorre com velocidade superior a <i>c</i>. </span><br />
<br />
<span style="color: #38761d;">Denominado <a href="http://www.andersoninstitute.com/quantum-tunneling.html">efeito de tunelamento</a> (ler <a href="http://arxiv.org/ftp/arxiv/papers/1304/1304.3155.pdf">aqui</a> sua história), esse fenômeno tem a ver com a propriedade de partículas
subatômicas e de fótons conseguirem atravessar certas barreiras (forças
de repulsão elétrica ou forças nucleares de coesão, por exemplo) sem
ter energia suficiente para isso. </span></b></div>
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<b><span style="color: #38761d;"> </span><span style="color: #38761d;">Experimentos feitos a partir de 1992
verificaram que esses processos ocorrem mesmo com velocidades
taquiônicas. </span></b></div>
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<br /></div>
<div style="text-align: justify;">
<b><span style="color: #38761d;">Essas experiências foram feitas, no caso dos fótons, pelo
físico alemão Günter Nimtz, na Universidade de Colônia (Alemanha), pelo
grupo de Ray Chiao e Aephraim Steinberg, da Universidade de Berkeley
(Estados Unidos), por Anedio Ranfagni e colaboradores, na Universidade
de Florença (Itália), e por outros pesquisadores em Viena (Áustria),
além de Orsay e Rennes (França).</span></b></div>
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<br /></div>
<div style="text-align: justify;">
<b><span style="color: #38761d;"> Esses resultados ganharam vasta
repercussão na comunidade científica internacional, bem como na mídia e
na literatura não especializada. Foram noticiados pelas revistas de
divulgação científica Scientific American (Estados Unidos) e New
Scientist (Grã-Bretanha), bem como pela revista semanal Newsweek. </span><br />
<br />
<span style="color: #38761d;">Vale
notar que, do ponto de vista da física clássica, fótons em tunelamento
são, na verdade, um tipo particular de ondas eletromagnéticas
(denominadas ondas evanescentes). </span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: #38761d;">E que também, a partir da relatividade
estendida, já se sabia que essas ondas tinham velocidade maior que <i>c</i>, como foi confirmado através de simulações numéricas. Tudo parece então autoconsistente! </span></b></div>
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<b><span style="color: #38761d;">
</span></b></div>
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<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">O tunelamento quântico</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">é um efeito</span> <span class="hps">de
acoplamento</span> da <span class="hps">onda evanescente</span> (ler <a href="http://www.andrew.cmu.edu/user/dcprieve/Evanescent%20waves.htm">aqui</a> e <a href="http://en.wikipedia.org/wiki/Evanescent_wave">aqui</a>) <span class="hps">que
ocorre na</span> <span class="hps">mecânica quântica.</span> <span class="hps">O
comprimento de onda</span> <span class="hps">combinado com a barreira correta e adequada
de tunel torna possível a</span> <span class="hps">passagem de sinais</span> <span class="hps">mais superluminais </span><span style="mso-spacerun: yes;"> </span>para
trás <span class="hps">no tempo.</span></span></span></b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh46azT5wwvcsldY83-9t1AH_GfZc_xXqUN8cgvyjxbZdKjkDDQvJ42DScceaP2UsCl3HRh4jUkBGJ1qqltTYpLwrcMuYAdV1TA2e3TWy9egj6-KoX43FK_-hDr2QzL6MkrHhj1-a6EGJc/s1600/quantum-tunneling-characteristics-small.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="298" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh46azT5wwvcsldY83-9t1AH_GfZc_xXqUN8cgvyjxbZdKjkDDQvJ42DScceaP2UsCl3HRh4jUkBGJ1qqltTYpLwrcMuYAdV1TA2e3TWy9egj6-KoX43FK_-hDr2QzL6MkrHhj1-a6EGJc/s400/quantum-tunneling-characteristics-small.jpg" width="400" /></a></div>
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<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Uma onda evanescente é
uma onda estacionária em um campo próximo, com uma intensidade que apresenta
decaimento exponencial com a distância do limite em que foi formada a onda. Ondas
evanescentes, portanto, se tratam de uma propriedade geral de equações de onda,
e podem, em princípio, ocorrer em qualquer contexto em que se aplica a equação
de onda.</span></span></b><br />
<b><span style="color: #38761d;"><br /></span></b>
<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Günther Nimitz e A. A. Stahlhofen, no trabalho denominado "<a href="http://arxiv.org/pdf/0708.0681v1"><i>Macroscopic violation of spatial relativity</i></a>" explicam que </span><b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Feynman, um dos fundadores da <a href="http://en.wikipedia.org/wiki/Quantum_electrodynamics">eletrodinâmica quântica</a> (QED) apresentou partículas virtuais em seus diagramas como estados
intermediários de um processo de interação, sendo que estas partículas virtuais
não eram observáveis.</span></span></b></span></b><br />
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<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><img alt="" height="400" 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<![endif]--><b><span style="color: #38761d;">
</span></b><br />
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
<br />
No entanto, do ponto de vista teórico, estas partículas virtuais representam estados intermediários necessários,
entre os estados reais observáveis. Tais partículas virtuais foram introduzidas
para descrever o processo de interação entre um elétron e um pósitron bem como para
os processos de interação muito mais complicados.</span></span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
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<br />
Outros candidatos a fótons virtuais são os modos evanescentes em óptica. Modos evanescentes
têm um número de onda puramente imaginário e representam a analogia matemática das
soluções de tunelamento da equação de Schrödinger.</span></span></b></div>
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<br />
Modos evanescentes estão presentes nas bandas de freqência proibidas de retículos
fotônicos e em guias de onda subdimensionadas. O exemplo mais proeminente da
ocorrência de modos evanescentes é a frustrada reflexão total interna de prismas
duplos.</span></span></b></div>
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<b><span style="color: #38761d;"><br /></span></b></div>
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<b><span style="color: #38761d;"><br /></span></b></div>
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12pt; margin-left: 1em; margin-right: 1em;"><img alt="" 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" /> </span></span></b></div>
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
<br />
Em 1949 Sommerfeld (<span style="font-weight: normal;"><i>Sommerfeld, A., Lectures on Theoretical Physics, Optics. Academic Press Inc. US <b>- </b>1954</i></span>) apontou que este fenômeno óptico representava a
analogia para o tunelamento quântico. Os modos evanescentes estão fora dos
limites da teoria da relatividade especial.</span></span></b><br />
<br />
<br />
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><span style="color: #351c75;">ONDAS EVANESCENTES: </span></span></span></b></div>
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"> </span></span></b></div>
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<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">As ondas evanescentes se formam
na fronteira entre dois meios com diferentes propriedades de movimento de ondas,
e são mais intensas dentro de um terço do comprimento de onda a partir da sua
superfície de formação.</span></span></b></div>
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<b><span style="color: #38761d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEIOgRtD2LE40e1X6ARrlaf56ZqEsPfRxqWujobKdaChBrFmgKMsnRf-yE4N5vh0eKtHgUoAKwldM6yAcs0-nMyApbwUNwxfgv6sT4x_fKIU4ujsVoRDfw5J_RvpAoAMjwGWfEav_0Y2w/s1600/200px-Evanescent_wave.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEIOgRtD2LE40e1X6ARrlaf56ZqEsPfRxqWujobKdaChBrFmgKMsnRf-yE4N5vh0eKtHgUoAKwldM6yAcs0-nMyApbwUNwxfgv6sT4x_fKIU4ujsVoRDfw5J_RvpAoAMjwGWfEav_0Y2w/s400/200px-Evanescent_wave.jpg" width="235" /></a></span></b></div>
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<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"> </span><span style="color: red; font-size: x-small;"><span style="font-weight: normal;">O
gráfico acima representa uma onda incidente refratada, enquanto que o
imediatamente abaixo, representa uma onda evanescente na fronteira entre
dois meios refringentes.</span></span></span></b></div>
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<span style="font-size: x-small;">
</span></span></b><br />
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<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;">Em particular, as ondas evanescentes podem
ocorrer em contextos de óptica e de outras formas de radiação eletromagnética,
acústica, mecânica quântica, e "ondas em cordas".</span></span></b></div>
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<b><span style="color: #38761d;">
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<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Em óptica</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">e acústica</span>, as ondas <span class="hps">evanescentes</span>
<span class="hps">são formadas</span> <span class="hps">quando as ondas</span> <span class="hps">que viajam</span> <span class="hps">num meio</span> <span class="hps">submetem-se</span>
<span class="hps">à reflexão</span> <span class="hps">interna total</span> <span class="hps">no</span>s<span class="hps"> limitees desse<span style="mso-spacerun: yes;"> </span>meio,</span> <span class="hps">pois elas o <span style="mso-spacerun: yes;"> </span>atingem</span> <span class="hps">formando um
ângulo</span> <span class="hps">maior do que</span> <span class="hps">o chamado</span>
<span class="hps">ângulo crítico</span>.</span></span></b></div>
<b><span style="color: #38761d;">
</span></b>
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">
<span class="hps"> </span></span></span></b><br />
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><span class="hps">A</span> <span class="hps">explicação física para</span> <span class="hps">a existência da</span> <span class="hps">onda evanescente</span> <span class="hps">é que os</span> <span class="hps">campos eléctricos</span> <span class="hps">e magnéticos, </span>ou <span class="hps">gradientes de pressão</span>,
<span class="hps">no caso de</span> <span class="hps">ondas acústicas</span>, não
pode <span class="hps">ser descontínuos nas fronteiras entre meios,</span> <span class="hps">como seria o</span> <span class="hps">caso</span> <span class="hps">se não
houvesse</span> <span class="hps">qualquer campo de</span> <span class="hps">onda
evanescente</span>. </span></span></b></div>
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</span></b>
<b><span style="color: #38761d;">
</span></b>
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<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="text-align: justify;">
<br />
<br />
<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Na mecânica quântica,</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">a explicação física</span> <span class="hps">é exatamente análoga </span>à<span class="atn"> </span>função de onda
de Schröedinger, representativa d<span class="hps">o movimento</span> normal <span class="hps">de partículas</span><span class="hps"> na</span> <span class="hps">fronteira entre meios, a qual</span> <span class="hps">não pode ser</span> <span class="hps">descontínua</span> <span class="hps">no seu limite.</span></span></span></b><br />
<br /></div>
<b><span style="color: #38761d;">
</span></b>
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Por exemplo, considere a reflexão interna total em
duas dimensões, com a interface entre os meios de comunicação que se encontram sobre
o eixo x, <span style="mso-spacerun: yes;"> </span>a normal ao longo de y <span style="mso-spacerun: yes;"> </span>e a polarização ao longo de z.</span></span></b></div>
<b><span style="color: #38761d;">
</span></b></div>
<div style="text-align: justify;">
<br />
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
Pode ser esperado que, para os ângulos principais de reflexão total
interna, a solução consista numa onda incidente e uma onda refletida, sem haver
uma onda transmitida.Mas não existe tal solução, que obedeca as equações de
Maxwell.</span></span></b></div>
<b><span style="color: #38761d;">
</span></b></div>
<br />
<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
As <a href="http://en.wikipedia.org/wiki/Maxwell%27s_equations">equações de Maxwell</a>
em um meio dieléctrico impõem uma condição de limite de continuidade para os
componentes dos campos E-ii (<a href="http://en.wikipedia.org/wiki/Electric_field">campo
elétrico</a>), H-ii (<a href="http://en.wikipedia.org/wiki/Demagnetizing_field">campo
magnético auxiliar</a>), Dy (<a href="http://en.wikipedia.org/wiki/Electric_displacement_field">campo de
deslocamento elétrico</a>) e By (<a href="http://en.wikipedia.org/wiki/Magnetic_field">campo magnético</a>).</span></span></b><br />
<br /></div>
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</span></b>
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
</span></span></b></div>
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</span></b>
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<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
Para a polarização considerada neste exemplo, as condições em E-ii e By são satisfeitas
se a onda refletida tiver a mesma amplitude que a incidente, uma vez que essas
componentes tanto da onda incidente como da reflectida se sobrepõem a de modo
destrutivo.</span></span></b></div>
<b><span style="color: #38761d;">
</span></b></div>
<div style="text-align: justify;">
<br />
<b><span style="color: #38761d;">
</span></b>
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Já as componentes Hx se sobrepoem de modo construtivo.
Dessa forma, não poderá haver solução, caso a onda transmitida não desapareça.</span></span></b></div>
<b><span style="color: #38761d;">
</span></b></div>
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<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
A onda transmitida não pode, no entanto, ser uma onda sinusoidal, sem que, transporte
<span style="mso-spacerun: yes;"> </span>energia para além da fronteira, mas, desde
que a onda incidente e as ondas refletidas tenham igual energia, o que violaria
o princípio da conservação de energia.</span></span></b><br />
<br /></div>
<b><span style="color: #38761d;">
</span></b></div>
<div style="text-align: justify;">
<b><span style="color: #38761d;">
</span></b>
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"> Conclui-se, portanto, que a onda transmitida deve assumir uma solução
não-nula para as equações de Maxwell, o que afasta a hipótese de uma onda progressiva
viajante, mas a caracteriza como única solução em um meio , as quais apresentam
decaimento exponencial, ou mais especificamente ondas evanescentes.</span></span></b><br />
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
Matematicamente, as ondas evanescentes podem ser caracterizadas por um vetor de
onda em que uma ou mais de suas componentes assumem um valor imaginário.</span></span></b></div>
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
Devido ao fato do vetor assumir componentes imaginárias, ele pode ter uma
magnitude que é menor do que os suas componentes reais. Caso o ângulo de
incidência exceda o ângulo crítico, em seguida, o vector da onda transmitida terá
a forma de onda a seguir (sendo o vetor “z” unitário):</span></span></b></div>
<b><span style="color: #38761d;">
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; text-align: justify;">
<div class="separator" style="clear: both; text-align: center;">
<b><span style="color: #38761d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgataLsSozkfS0HIrpcjzKM5z7TVM8ZlHEA44OwgDA3IxHzNejYLEMKCSyWAe3D8lhof38GiPvRT_TE2QhiKakiPI7QD1sRIGW8MXBODTj9JQpQE85cYjw5baaPxMPZ65PrXqcSq2pPzwM/s1600/vetor.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgataLsSozkfS0HIrpcjzKM5z7TVM8ZlHEA44OwgDA3IxHzNejYLEMKCSyWAe3D8lhof38GiPvRT_TE2QhiKakiPI7QD1sRIGW8MXBODTj9JQpQE85cYjw5baaPxMPZ65PrXqcSq2pPzwM/s1600/vetor.png" /></a></span></b></div>
</div>
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</span></b>
<b><span style="color: #38761d;">
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<b><span style="color: #38761d;">
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<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br />
<br />
<b><span style="color: #38761d;"><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Esta forma</span></span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> representa uma</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> <span class="hps">onda evanescente</span>, pois <span class="hps">a componente
y</span> <span class="hps">é imaginária, sendo</span> <span class="hps">α (constante
de atenuação)</span> <span class="hps">e</span> <span class="hps">β (constante de
propagação) reais e</span> <span class="hps">i</span> <span class="hps">a unidade
imaginária</span>.</span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Isto leva à equação:</span></span></b><br />
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<div class="separator" style="clear: both; text-align: center;">
<b><span style="color: #38761d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDh8dlXqzV6Rn4-6nLf7SNYVuv9mag3MTxNcZEPISs4MYpmCQyX10yNa-rCvXBTj4dx9Ak7jeG4ZV9oiCvDyuRHZVxkqNhuPgC24WVX9RkiK4Tv_7b8ko9osM9-Bk5_5CIKKIdLoqlzyA/s1600/expoente.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDh8dlXqzV6Rn4-6nLf7SNYVuv9mag3MTxNcZEPISs4MYpmCQyX10yNa-rCvXBTj4dx9Ak7jeG4ZV9oiCvDyuRHZVxkqNhuPgC24WVX9RkiK4Tv_7b8ko9osM9-Bk5_5CIKKIdLoqlzyA/s1600/expoente.png" /></a></span></b></div>
</div>
<b><span style="color: #38761d;">
</span></b>
<b><span style="color: #38761d;">
</span></b>
<br />
<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br />
<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Esta
equação representa o campo elétrico de qualquer onda, seja ela incidente,
refletida ou transmitida, sendo que o número imaginário de onda corresponde ao decaimento exponencial da onda evanescente. </span></span></b><br />
<b><span style="color: #38761d;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br /></span>
</span></b><br />
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 95.0pt; text-align: justify;">
<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">Como as ondas</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> <span class="hps">evanescentes</span>
<span class="hps">realmente não</span> se <span class="hps">propagam, é</span> <span class="hps">melhor falar</span> <span class="hps">de um “campo</span> <span class="hps">evanescente</span> <span class="hps">acústico</span>'', no campo da
acústica, ou de uma "<span class="hps">onda estacionária</span> <span class="hps">evanescente</span>'' (ver <a href="http://cnx.org/content/m12413/latest/">aqui</a> e <a href="http://en.wikipedia.org/wiki/Standing_wave">aqui</a> que são ondas estacionárias - aquelas que permanecem na mesma posição) no eletromagnetismo, <span class="hps">ao invés de "</span><span class="hps">ondas evanescentes</span>.'' Ou seja, as ondas evanescentes não sofrem mudanças de fase ao atravessarem o espaço. </span></span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 95.0pt; text-align: justify;">
<b><span style="color: #38761d;"><br /></span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 95.0pt; text-align: justify;">
<b><span style="color: #38761d;"><br /></span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 95.0pt; text-align: justify;">
<b><span style="color: #38761d;"><br /></span></b></div>
<div class="separator" style="clear: both; text-align: center;">
<b><span style="color: #38761d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJyfqZZ1s07eVZFzfCZ1Fd7zoSJ5qYdEP2GFuy-J9bGU7HFETNhRkEWfMypdSoJqK3fCHgAtZvVL9a4QcDrmxgWTi5O2F3nppac0mSmcqOe5Ed-tI7lQz5aHaU-ic_bNFy7zx9criZZ2M/s1600/evanevan1.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="293" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJyfqZZ1s07eVZFzfCZ1Fd7zoSJ5qYdEP2GFuy-J9bGU7HFETNhRkEWfMypdSoJqK3fCHgAtZvVL9a4QcDrmxgWTi5O2F3nppac0mSmcqOe5Ed-tI7lQz5aHaU-ic_bNFy7zx9criZZ2M/s400/evanevan1.gif" width="400" /></a></span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; tab-stops: 95.0pt; text-align: justify;">
<b><span style="color: #38761d;"><br /></span></b></div>
</div>
<b><span style="color: #38761d;">
</span></b></div>
<div style="text-align: justify;">
<br />
<b><span style="color: #38761d;">
</span></b>
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br />
<br />
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Em óptica, o acoplamento da onda evanescente é
um processo pelo qual as ondas electromagnéticas são transmitidas de um meio
para outro conforme o <span style="mso-spacerun: yes;"> </span>decaimento
exponencial do campo electromagnético evanescente.</span></span></b></div>
<b><span style="color: #38761d;">
</span></b></div>
<div style="text-align: justify;">
<br />
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
O acoplamento é geralmente realizado ordenando-se dois ou mais elementos
electromagnéticos, tais como guias de onda ópticas próximas umas das outras, de
modo que o campo evanescente gerado por um elemento não decaia muito antes de
chegar ao outro elemento.</span></span></b></div>
<div style="text-align: justify;">
<b><span style="color: #38761d;">
</span></b></div>
<div style="text-align: justify;">
</div>
</div>
<div style="text-align: justify;">
<br />
<b><span style="color: #38761d;">
</span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">
</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #38761d;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">"Evanescente" significa "que tende a desaparecer", nome
este adequad, em razão de que a intensidade de ondas evanescentes decai exponencialmente
(em vez de sinusoidal) com a distância a partir da interface em que são formadas.
</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b>
</b></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b>
</b></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #38761d;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Ondas evanescentes são formadas quando as ondas sinusoidais são (internamente)
refletidas numa interface entre dois meios refringentes, segundo um ângulo superior
ao ângulo crítico (aquele que permite a onda refratar), de modo que a reflexão interna
total ocorre.</span></b></span></div>
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<br /></div>
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<b><span style="color: #38761d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih7QEN7PCX9Eibsldmf2sB3HdwjhSBBFIOSfvW76aBO4sKHJbPxCM3UUr8AABvCD9bteZo7WWFHbM78mt5y7YZcNtFpXaeBx-aqrrej6xRqBYwniOwukyYkN3VY9locZcGLTXIOW7jqc8/s1600/220px-FITR_penetration_depth_n_dependence.gif" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="314" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih7QEN7PCX9Eibsldmf2sB3HdwjhSBBFIOSfvW76aBO4sKHJbPxCM3UUr8AABvCD9bteZo7WWFHbM78mt5y7YZcNtFpXaeBx-aqrrej6xRqBYwniOwukyYkN3VY9locZcGLTXIOW7jqc8/s400/220px-FITR_penetration_depth_n_dependence.gif" width="400" /></a></span></b></div>
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<br /></div>
<b><span style="color: #38761d;">
</span></b><br />
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><span style="color: red;"><span style="font-size: x-small;"><span style="font-weight: normal;">O
gráfico acima apresenta a penetração de profundidade de uma onda
evanescente contra o ângulo de incidência (em unidades de comprimento de
onda) para materiais com diferentes índices de refração e o referido decaimento exponencial.</span></span></span> <br /> </span></span></b></div>
<b><span style="color: #38761d;">
</span></b>
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><br /></span></b></div>
<b><span style="color: #38761d;">
</span></b>
<br />
<div style="text-align: justify;">
<b><span style="color: #38761d;"></span></b><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Com guias de ondas, se o condutor de ondas receptor puder suportar os
modos de apropriados de frequência, o campo evanescente dará origem a modos de
propagação da onda, conectando ou acoplando a onda a partir de uma guia de onda
para a seguinte. </span></span></b><br />
<br />
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"> </span></span></b><b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">O acoplamento</span></span> <span class="hps">evanescente</span> <span class="hps">de onda</span> <span class="hps">é fundamentalmente</span> <span class="hps">idêntico à</span> <span class="hps">interação do campo</span> <span class="hps">próximo ( regiões de</span>
<span class="hps">campos electromagnéticos</span> <span class="hps">variáveis no
tempo</span> <span class="hps">em torno de qualquer</span> <span class="hps">objeto
que</span> <span class="hps">serve como uma fonte</span> <span class="hps">para o
campo)</span> <span class="hps">na teoria do campo</span> <span class="hps">eletromagnético.</span></span></b><br />
<br />
<b><span style="color: #38761d;"><span class="hps"> </span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps">Dependendo da</span> <span class="hps">impedância</span> <span class="hps">do elemento de</span> <span class="hps">fonte de radiação</span>, a
onda <span class="hps">evanescente</span> <span class="hps">será</span> <span class="hps">predominantemente</span> <span class="hps">eléctrica (</span>capacitivo)
<span class="hps">ou</span> <span class="hps">magnética</span> <span class="hps">(</span>indução),
contrariamente ao <span class="hps">campo distante</span> para o qual essas <span class="hps">componentes da</span> <span class="hps">onda</span> <span class="hps">eventualmente
atingem a razão</span> <span class="hps">da impedância</span> <span class="hps">de
espaço livre e</span> <span class="hps">a onda</span> assim se <span class="hps">propaga</span>
<span class="hps">radiativamente</span>. </span><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> </span></span></span></b></div>
</div>
<div style="text-align: justify;">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br />
<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">O
acoplamento</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> da <span class="hps">onda
evanescente</span> <span class="hps">ocorre em</span> <span class="hps">campos</span>
<span class="hps">não-radiativos próximos a cada meio,</span> os quais são <span class="hps">sempre associados</span> <span class="hps">com a matéria</span>, ou
seja, <span class="hps">com as</span> <span class="hps">correntes induzidas</span> <span class="hps">e com cargas</span> <span class="hps">dentro de uma</span> <span class="hps">superfície</span> <span class="hps">parcialmente</span> <span class="hps">refletora</span>.</span></span></b></div>
</div>
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br />
<span style="color: #38761d;"><b><span class="hps">Este acoplamento</span> <span class="hps">é</span> <span class="hps">diretamente</span> <span class="hps">análogo</span> <span class="hps">ao
acoplamento</span> <span class="hps">entre as</span> <span class="hps">bobinas
primárias</span> <span class="hps">e secundárias de um</span> <span class="hps">transformador</span>,
ou entre <span class="hps">as duas</span> <span class="hps">placas de um</span> <span class="hps">capacitor</span>. </b></span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b>
</b></span>
<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> </span></span></span></b><br />
<b><span style="color: #38761d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">Matematicamente</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">, o processo é <span class="hps">o mesmo que o de
tunelamento quantico, exceto para ondas eletromagnéticas</span>, em vez de <span class="hps">funções de onda</span> <span class="hps">da mecânica quântica.</span></span></span></b><br />
<br />
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<![endif]--><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><span style="color: red;">O
tempo de atraso τ de um pacote de ondas é dado pela equação:</span><br />
<br />
<span style="color: red;">τ = φ d / d ω</span><br />
<br />
em que:<br /> </span></span></span></span></b><br />
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<br />
ω é a freqüência angular.</span><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Em geral, a parte real do número de onda k vezes a
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<br />
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<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Por volta de 1990</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">a analogia</span> <span class="hps">matemática
entre</span> <span class="hps">as equações de</span> <span class="hps">Schrödinger</span>
<span class="hps">e as equações</span> <span class="hps">de Helmholtz</span> <span class="hps">inspiraram</span> <span class="hps">experimentos com microondas e
tunelamento</span> <span class="hps">óptico</span> <span class="hps">para obtenção
de dados</span> <span class="hps">empíricos acerca</span> <span class="hps">o tempo
de</span> <span class="hps">tunelamento.</span> <span class="hps">Os experimentos
com</span> <span class="hps">os modos</span> <span class="hps">evanescentes</span> <span class="hps">revelou</span> <span class="hps">energia</span> <span class="hps">superluminal</span>
<span class="hps">e</span> <span class="hps">velocidades</span> <span class="hps">de
sinal</span>.</span></span></span></span></b><b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"> </span></span></span></span></span></b><br />
<br />
<b><span style="color: #38761d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Vários</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">cálculos</span> <span class="hps">da </span><span style="mso-spacerun: yes;"> </span><span class="hps">QED</span>
e da Mecânica Quântica - <span class="hps">QM</span> <span class="hps">previram que</span>
<span class="hps">ambos os modos</span> <span class="hps">evanescentes</span> <span class="hps">e partículas</span> <span class="hps">de tunelamento</span> <span class="hps">pareciam</span> <span class="hps">propagar-se</span> <span class="hps">com</span>
<span class="hps">tempo zero</span> (ver <a href="http://arxiv.org/abs/0708.0681">aqui</a>).</span></span></span></span></b><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> </span></span><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"></span></span><span class="" id="result_box" lang="pt"><span class="" id="result_box" lang="pt"></span></span><span class="" id="result_box" lang="pt"></span></div>
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<span style="color: #38761d;"><b><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Este único</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">período de tempo</span> <span class="hps">surge</span> <span class="hps">como
um tempo</span> <span class="hps">de dispersão</span> <span class="hps">em</span> <span class="hps">frente</span> <span class="hps">da barreira. Este período de tempo pode ser compreendido como</span><span class="hps">
uma</span> <span class="hps">quantidade</span> <span class="hps">universal da</span>
<span class="hps">ordem</span> <span class="hps">de magnitude do</span> <span class="hps">tempo</span>, no que se refere ao <span class="hps">inverso </span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">da frequência central <span class="hps"></span></span></span></span></span>do</span>
<span class="hps">pacote de ondas</span> <span class="hps">de tunelamento.</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%;"></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"> </span></span></span></b></span><br />
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<b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Experimentos com</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">modos</span> <span class="hps">evanescentes</span>
<span class="hps">foram realizados com</span> <span class="hps">guias de onda</span>
<span class="hps">subdimensionados</span> <span class="hps">e com material de banda
intervalar</span> <span class="hps">fotônica</span>. <span class="hps">A</span> <span class="hps">natureza virtual</span> <span class="hps">de modos</span> <span class="hps">evanescentes</span> <span class="hps">torna-se</span> <span class="hps">mais
evidente</span>, <span class="hps">no entanto, no</span> <span class="hps">exemplo</span>
ora <span class="hps">frustrado</span>, realizado <span class="hps">com</span> <span class="hps">prismas de</span> <span class="hps">reflexão interna</span> <span class="hps">dupla.</span></span></span></span></span></b></div>
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<br /></div>
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<b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><span lang="PT" style="mso-ansi-language: PT;"><span class="hps">No experimento realizado, denominado de "Mudança Goos Hänchen" em seu resultado, Nimitz e Stahlhofen chegaram á conclusão de que o sinal refletido e o transmitido (tunelado) fortam recebidos por detectores ao mesmo tempo. </span></span></span></span></span></b></div>
<br />
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<span style="color: #38761d;"><b><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">O atraso</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">de tempo medido tanto na</span> <span class="hps">reflexão, como na transmissão</span> <span class="hps">do pulso</span> <span class="hps">digital foi</span> <span class="hps">de cerca de 100</span> <span class="hps">ps.</span> </span>
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<div class="MsoNormal" style="text-align: justify;">
<span style="color: #38761d;"><b><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Neste caso</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">de reflexão interna total
frustrada - </span><span style="mso-spacerun: yes;"></span><span class="hps">FTIR</span>,
este <span class="hps">intervalo de tempo</span> <span class="hps">medido</span> <span class="hps">corresponde ao</span> <span class="hps">deslocamento</span> <span class="hps">de Goos</span><span class="atn">-</span>Hänchen <span class="hps">ao
longo do limite</span> <span class="hps">da barreira,</span> <span class="hps">isto
é,</span> <span class="hps">ao longo do limite</span> <span class="hps">entre o <span style="mso-spacerun: yes;"> </span>prisma</span><span class="atn"> e o </span>ar. <span class="hps">O resultado</span> <span class="hps">está de acordo com</span> <span class="hps">o tempo</span> <span class="hps">de tunelamento</span> <span class="hps">universal</span>, o que parece que os modelos evanescentes violam a relação de Einstein E^2 = (hck)^2, sendo k um número imaginário.</span></b></span></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">Com isso, a mudança de fase zero dos modos evanescentes de espalhamento parecem cruzar as barreiras em tempo zero. </span></b></span><span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><!--[if gte mso 9]><xml>
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</xml><![endif]--></span><span lang="PT" style="mso-ansi-language: PT;"></span></b><b><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Os</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">caminhos do</span>s feixes <span class="hps">refletido e</span>
<span class="hps">dos feixes</span> <span class="hps">transmitidos</span> <span class="hps">são iguais</span> <span class="hps">exceto pelo fato de que o transmitido</span>
<span class="hps">atravessou um a</span> <span class="hps">região</span> <span class="hps">evanescente</span> <span class="hps">de</span> <span class="hps">comprimento
d</span>.</span></b></span></div>
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<br /></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">Nimitz e Stahlhofen observam que os modos evanescentes não são visíveis, o que não se coaduna à física clássica, o que decorre de uma relação de incerteza, uma vez que, segundo ambos os autores, modos evanescentes se tratam de fótons virtuais.</span></b></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
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</div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"> A relação de incerteza implica que:</span></b></span></div>
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<br /></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">Δ p > ħ/ Δx ≈ ħκ = (ko^2 * (n2^2* (sinϕ)^2 – n1^2))^0,5</span></b></span></div>
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<br /></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"> onde:</span></b></span></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">ħ = constante de Planck; </span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">Δx = distância percorrida ≈ ik = κ;</span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">ko = ω/ c;</span></b></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">ω = frequência do feixe de ondas;</span></b></span></div>
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<br /></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">c = velocidade da luz; </span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">n1 e n2 são os índices de refração do ar e dos prismas;</span></b></span></div>
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<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: red;">ϕ = ângulo de incidência do raio.</span></span></b></span></div>
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
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<![endif]--><span style="color: #38761d;"><b>O modo evanescente pode ser localizado na região não clássica se o índice de refração Δn = (ko^2 * (n2^2* (sinϕ)^2 – n1^2))^0,5 for adicionado, o que faz o modo evanescente surgir na região clássica permitida.</b></span></div>
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<span style="color: #38761d;"><b>Dessa forma, a violação da relação de energia de Einstein, o tempo zero de espalhamento e a não observabilidade dos modos evanescentes, podem ser explicada por meio da ideia de que modos evanescentes são fótons virtuais, conforme demonstra o diagrama de Feynman:</b></span></div>
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<div class="MsoNormal" style="text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"> Para este diagrama, tando o modo de tunelamento, quanto o modo evanescente são representados como fótons virtuais.</span></b></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">Entretanto, Herbert Winful (ler <a href="http://arxiv.org/abs/0709.2736">aqui</a>), e Chris lee (ler <a href="http://arstechnica.com/uncategorized/2007/08/faster-than-the-speed-of-light-no-i-dont-think-so/">aqui</a>) veem o trabalho de Nimitz e Stahlhofen como errôneo.</span></b></span><br />
<br />
<span style="color: red;"><b><span lang="PT" style="mso-ansi-language: PT;">1 - Segue abaixo a exposição do artigo de Chris Lee, o qual aborda a questão em seus aspectos experimentais:</span></b></span><br />
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<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"> </span></b></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"> </span><br />
<span style="color: #38761d;"><span style="color: #0b5394;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Um documento apresentado à arXiv física foi pego
por um grande número de agências de notícias (por exemplo, o Daily Mail) porque
o documento sugere que seus autores mediram algo viajar mais rápido que a
velocidade da luz. Infelizmente, a alegação é pior do que fraco, é bobagem. Eu
vou falar sobre por que isso acontece depois de discutir brevemente sua
pesquisa.</span></b></span><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #0b5394;"></span></span></b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
<span style="color: #0b5394;">O documento em questão não possui dados que demonstrem suas medidas, embora afirme
que tenham sido encontradas velocidades superluminais. Também, não oferece nada
para confirmar sua afirmação. </span></span></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #0b5394;">
</span></span></b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">
<span style="color: #0b5394;">
</span></span></b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Neste documento há muito pouco em termos de
detalhamento experimental, por esta razão não se pode determinar com certeza o
que seus autores estão medindo, tornando-se muito difícil avaliar as suas
reivindicações. </span></span></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">
<span style="color: #0b5394;">
</span></span></b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><br /></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">
<span style="color: #0b5394;">
</span></span></b></span><br />
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #0b5394;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Os pesquisadores</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">fazem uso</span> <span class="hps">da
propriedade</span> <span class="hps">chamada</span> <span class="hps">de reflexão
interna total</span> <span class="hps">(</span><a href="http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/totint.html">breve discussão</a><span class="hps">).</span></span></span></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">
</span></b></span>
<br />
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><span class="hps"> </span> </span></span></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">
<span style="color: #0b5394;">
</span></span></b></span><br />
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #0b5394;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Quando a luz</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">está acima de um</span> <span class="hps">determinado ângulo</span>
<span class="hps">de</span> <span class="hps">incidência, sobre</span> <span class="hps">uma interface entre dois materiais</span>, digamos, para o caso, <span class="hps">na face</span> <span class="hps">de um prisma</span>, <span class="hps">ela
pode</span> <span class="hps">ser</span> <span class="hps">totalmente</span> <span class="hps">refletida</span>, <span class="hps">desde que chegue a</span> <span class="hps">interface</span> <span class="hps">do</span> <span class="hps">material cujo
índice de refração</span> seja <span class="hps">mais elevado</span>.</span></span></span></b></span></div>
<span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;">
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="text-align: justify;">
<span style="color: #0b5394;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">No entanto,</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">perto do ângulo-limite</span>, entre as duas faces dos
materiais, algo <span class="hps">chamado de</span> <span class="hps">formas</span>
<span class="hps">de ondas</span> <span class="hps">evanescentes</span> <span class="hps">as quais não</span> <span class="hps">se propagam</span> <span class="hps">como a luz</span> <span class="hps">normal (</span>tecnicamente, <span class="hps">não se propagam)</span> <span class="hps">e, rapidamente,</span> <span class="hps">decaem</span> <span class="hps">a nada</span>. </span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="text-align: justify;">
<span style="color: #0b5394;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Tomando-se um</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">segundo prisma</span> <span class="hps">e
coloca<span style="color: #38761d;"><span style="color: #0b5394;">ndo-o</span> </span></span><span class="hps">muito próximo da</span> <span class="hps">interface
onde</span> <span class="hps">reflexão interna total</span> <span class="hps">ocorreu,</span>
<span class="hps">em seguida,</span> <span class="hps">um pouco de luz</span> <span class="hps">a partir desta</span> <span class="hps">onda evanescente</span> <span class="hps">vazará</span> <span class="hps">através da interface</span> <span class="hps">e sairá do</span> <span class="hps">segundo prisma</span>. <span class="hps">Os prismas</span> <span class="hps">têm de ter</span> <span class="hps">não
mais do que</span> <span class="hps">o comprimento de onda</span> <span class="hps">da luz</span> <span class="hps">envolvido</span> <span class="hps">de
modo que o experimento funcione</span>.</span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="text-align: justify;">
<span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Agora, as</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">perguntas interessantes</span> <span class="hps">são:</span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><span class="hps"> </span>
</span></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #990000;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">De onde vem a</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">energia</span> <span class="hps">nessa luz?</span></span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #990000;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"><span class="hps"> </span>
</span></span></div>
<span style="color: #990000;">
</span></span></b></span><span style="color: #990000;"><b><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">Quão rápido</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">ele viajou</span> <span class="hps">através da fronteira</span>?
</span></b></span><span style="color: #38761d;"><b><span lang="PT" style="mso-ansi-language: PT;"><span style="color: #990000;">
</span><div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="color: blue;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">A primeira pergunta é</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">interessante porque o</span> <span class="hps">campo evanescente</span> <span class="hps">não tem energia</span> <span class="hps">nele inserida.</span> <span class="hps">Isto é</span> <span class="hps">porque
os campos</span> <span class="hps">eléctricos e magnéticos</span>, que <span class="hps">compõem o</span> <span class="hps">campo</span> <span class="hps">estão
em fase, de tal modo</span> <span class="hps">que o produto vetorial será sempre
zero</span>.</span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="color: #674ea7;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;">A segunda pergunta é</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT;"> <span class="hps">interessante, porque</span> <span class="hps">a velocidade da luz</span> <span class="hps">não é definido</span> <span class="hps">de uma forma intuitiva</span> <span class="hps">para</span> <span class="hps">não-</span>físicos. <span class="hps">Basta dizer</span> <span class="hps">que para</span> <span class="hps">a onda</span> <span class="hps">evanescente</span>,
<span class="hps">a velocidade da luz</span> <span class="hps">é zero,</span> <span class="hps">e</span>, por conseguinte, <span class="hps">qualquer velocidade</span>
<span class="hps">mensurável</span> <span class="hps">é mais rápida</span> <span class="hps">do que a velocidade</span> <span class="hps">da luz.</span></span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #990000;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Então, como é que esses autores mediram uma velocidade
da luz excessiva? </span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Em termos práticos, a maioria dos experimentos medem
a luz em termos do que é chamado de <a href="http://en.wikipedia.org/wiki/Group_velocity">velocidade de grupo</a> (velocidade com que a forma global das amplitudes de onda,<span style="color: #38761d;"> <span style="color: #0b5394;">ou modulação, se propaga no espaço)</span></span> , que é o quão rápido um
pulso se propaga ao longo de uma frequência portadora subjacente. </span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Isto pode, em certas circunstâncias, pode levar os
pulsos a viajarem mais rápido que a velocidade da luz, no meio em que estão, mas
não mais rápido que a luz no vácuo. </span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Embora o descrito no artigo de Nimitz e
Stahlhofen não esteja totalmente claro, na verdade eles mediram o tempo de
chegada dos pulsos, o que significa que estamos falando de velocidade de grupo e
não acerca da real velocidade luminal.</span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
<span style="color: #0b5394;">Outro problema que ocorre nestas experiências trata-se de determinar quando o
pulso realmente chegou. Se um pulso de luz for analisado, pode-se perceber que
ele é composto de um grande número de freqüências que, ao nos afastarmos da freqüência
fundamental, esta será cada vez menor em amplitide.</span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><span style="mso-spacerun: yes;"> </span>Uma vez
que se olhe em detalhe para o experimento criado, pensaremos estar provocando o
ruído pré-pulso gerado por estes componentes de alta freqüência.</span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
<span style="color: red;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Separado de toda a velocidade de emissão de luz,
a resposta para a questão energética nesta configuração experimental é
interessante:</span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: red;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Uma vez que os dois prismas são próximos ums dos
outros, a onda evanescente é parcialmente refletida a partir do segundo prisma,
de volta para o primeiro prisma.</span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
<span style="color: #0b5394;">Quando isto acontece, o total de campo elétrico e total do campo magnético já
não são tais que o seu produto vetorial sempre existirá e será diferente de
zero. Isso quer dizer que há energia no campo. </span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: #0b5394;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Além disso, se analisados os componentes dos campos
que contêm a energia, aparentemente eles terão uma velocidade diferente de zero
para a luz e, claro, será o mesmo c que se aplica em qualquer outro lugar do
universo.</span></span></div>
<span style="color: #0b5394;">
</span><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br />
<span style="color: #0b5394;">Assim, a partir da explicação acima, não significa que houve uma violação da
relatividade especial, mas que ela ainda persiste...</span></span></div>
<span style="color: #0b5394;">
</span><span style="color: #0b5394;"><br /></span></span></b></span><br />
<span style="color: #0b5394;"><b><span lang="PT" style="mso-ansi-language: PT;"> <span style="color: red;"> </span></span></b></span></div>
</div>
</div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-31716090949669864562013-05-05T15:58:00.000-03:002013-11-15T17:13:33.106-02:00O UNIVERSO DOS TÁQUIONS - Parte 6A MATÉRIA TAQUIÔNICA<br />
<br />
O texto aqui exposto será basicamente aquele extraído do artigo de <a href="http://www.cosmosecontexto.org.br/?p=834">Erasmo Recami - Táquions, extraído da revista eletrônica Cosmos e Contexto</a>.<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfzip9lJSEhv7l1ZC2dUkQ9wm8b_CbLL-FpIIiQ9kOuVIMEZsjl4zXtMkqVMz6ICZMLPpgreZ8GSQ5bmS-BVrrxqtBBW3yiBtVSHeGdtFn-UnBVrK5BN1IbcDzHtrCsWU8EoNzOLwkotg/s1600/Recami1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfzip9lJSEhv7l1ZC2dUkQ9wm8b_CbLL-FpIIiQ9kOuVIMEZsjl4zXtMkqVMz6ICZMLPpgreZ8GSQ5bmS-BVrrxqtBBW3yiBtVSHeGdtFn-UnBVrK5BN1IbcDzHtrCsWU8EoNzOLwkotg/s400/Recami1.jpg" width="353" /></a></div>
<br />
<br />
<div style="text-align: justify;">
O físico italiano Erasmo Recami, há mais de 40 anos, em conjunto com seus
colaboradores, vem desenvolvendo uma teoria para explicar fenômenos
superluminais compatíveis com as demais teorias já bem estabelecidas. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
De
acordo com seus trabalhos, uma teoria sem paradoxos para táquions pode
ser formulada e testada, o que recentemente, devido a possível existência de
fenômenos superluminais, ganhou força pelos resultados de importantes
experimentos que corroboram a teoria relacionada a fenômenos superluminais.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
As especulações para objetos superluminais vem desde a à época de Demócrito. Entretanto com a teoria da relatividade de Einstein, estabeleceu-se a crença de que nada poderia ultrapassar o limite de velocidade que era imposto pelo próprio universo, no que se refere ao espaço-tempo serem relativos e ser a velocidade da luz a medida absoluta limite para qualquer velocidade.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Ainda, em 1917, R. C. Tolman considerou ter demonstrado que a existência
de partículas mais rápidas que a luz levaria a um paradoxo: a
possibilidade de transmitir informações para o passado ou o
“anti-telefone”. Tais convicções inibiram durante várias décadas as iniciativas de
pesquisa sobre velocidades superluminais. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Além de um trabalho isolado do
matemático italiano Somigliana, os primeiros estudos, no século
passado, que reformularam a questão foram contribuições do francês H.
Arzeliès (1955 e 1958), do alemão H. Schmidt (1958), do japonês S.
Tanaka (1960), do soviético Y. P. Terletsky (1960) e, principalmente, do
indiano E. C. George Sudarshan e seus colaboradores (1962). </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYTTl7XubcdSwTf4gyGInzBhyphenhyphenaknPkJawZJA-v72p5SutCvOJYUl0lbk1E4Xx-wCUDZLIknXBKXaqpP-Vz_0Wcs6vYG3yTtTLKiHLB1JRfN_qkp2CDBuP6mQ5iz07tMSjq-daTKEuFV4s/s1600/suda04.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYTTl7XubcdSwTf4gyGInzBhyphenhyphenaknPkJawZJA-v72p5SutCvOJYUl0lbk1E4Xx-wCUDZLIknXBKXaqpP-Vz_0Wcs6vYG3yTtTLKiHLB1JRfN_qkp2CDBuP6mQ5iz07tMSjq-daTKEuFV4s/s400/suda04.jpeg" width="347" /></a></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><b><i> </i></b></b>Para Sudarshan:<b><b><i> <span style="color: #cc0000;">Se os táquions existem, seria preciso encontrá-los;</span></i><span style="color: #cc0000;"><i> se não existem, seria necessário explicar porquê.</i></span></b></b><span style="color: #cc0000;"> </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
O caminho
aberto por Sudarshan foi seguido por muitos pesquisadores, entre os
quais se destacam Jones e Feinberg, nos Estados Unidos, E. Recami e seus colaboradores, na Europa.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Entre 1963 e 1966, no Instituto
Nobel, Alväger conduziu as primeiras investigações experimentais
destinadas a detectar partículas superluminais, batizadas por Feinberg
de <i>táquions</i>. Chamamos de <i>lúxons </i>as partículas que viajam com velocidades exatamente iguais a da luz, como os fótons, e por último usamos o termo <i>brádions</i> para designar objetos subluminais.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
A relatividade especial, já exaustivamente verificada,
que constitui, juntamente com a mecânica quântica, um dos pilares da física
moderna, fundamenta-se em termos de dois postulados: </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><b>(a) as leis da
mecânica e do eletromagnetismo devem ser as mesmas (isto é, são
invariantes na forma) para todos os observadores inerciais (ou seja,
aquelas cujo movimento é retilíneo e uniforme em relação ao chamado céu
de estrelas fixas, e, portanto, uns em relação aos outros), e </b></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><b><b>(b) o
tempo e o espaço são homogêneos, e o espaço ou o vazio é isotrópico (tem
as mesmas propriedades em todas as direções).</b></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Einstein demonstrou que, quando as distâncias e as velocidades
relativas são muito grandes, dois eventos (ou acontecimentos) da vida de
um objeto podem aparecer, para observadores distintos, separados por uma
distância espacial (Δx) e temporal (Δt) também diferentes.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Os dois
postulados enunciados permitem chegar a um conclusão importante: <span style="color: #0b5394;"><b>deve
haver uma – e apenas uma – velocidade invariável (c), tal que seu
quadrado tem o mesmo valor para todos os observadores inerciais.</b></span> </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Como se
sabe, verificou-se experimentalmente que esta tem um valor finito e
equivale à velocidade da luz no vácuo, de modo que: c + v = c. De
passagem, note que a velocidade infinita, se houver, não seria invariante, ou seja: </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
∞ + v = V,
onde V ≠ ∞;</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
a operação ‘+’ não corresponde, no caso de composição de
velocidades, a operação de soma aritmética, mas vetorial.</div>
<div style="text-align: justify;">
<br /></div>
<br />
<div style="text-align: justify;">
Logo, uma das consequências da relatividade especial é que, com o
aumento da velocidade (v), a energia total (E) de uma partícula
subluminal de massa de repouso m<sub>0</sub> aumenta de acordo com:</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div style="margin-left: 1em; margin-right: 1em; text-align: left;">
<img alt="" class="alignnone size-full wp-image-839" height="115" src="http://www.cosmosecontexto.org.br/wp-content/uploads/2012/01/Cosmos_2_Recami_Form_01.jpg" title="Cosmos_2_Recami_Form_01" width="200" /> </div>
<div style="margin-left: 1em; margin-right: 1em; text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Dessa forma, quando v tende a c, o denominador da fração tende a zero, fazendo a
energia E tender a infinito. Portanto, forças infinitas seriam
necessárias para fazer com que um brádion atingisse a velocidade da luz,
o que levou à opinião, bastante difundida, de que tal velocidade não
pode ser alcançada, muito menos superada.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
No entanto, contrariamente ao que as aparências sugerem, isso não
esgota a questão. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Assim como existem partículas que viajam à velocidade
da luz, sem que a tenham alcançado acelerando-se a partir de velocidades
subluminais, também poderiam existir outras que sempre viajaram com
velocidades superiores a c. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Isto foi ilustrado por Sudarshan
pitorescamente: <span style="color: #990000;"><b><i>"Suponhamos que um demógrafo que estuda a população da
Índia afirme, ingenuamente, que ninguém vive ao norte do Himalaia, uma
vez que nunca conseguiu-se atravessar essas montanhas. Assim nos
depararíamos com uma conclusão absurda. As populações da Ásia Central
nasceram e vivem além dos Himalaias: não precisam nascer na Índia e,
então, atravessar as montanhas. O mesmo pode acontecer com partículas
mais veloz que a luz."</i></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #990000;"></span>O desafio agora é mostrar que o problema pode ser colocado, de
modo pertinente, no âmbito da física contemporânea. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Para isso, haá que se considerarem os princípios da relatividade especial, considerando
partículas subluminais e superluminais, começando pelas primeiras.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Contrariamente à física clássica, a teoria da relatividade postula que
medições do espaço e do tempo não são independentes entre si. Com isso, não é
possível descrever o universo em termos puramente espaciais, uma vez que
a simultaneidade é relativa ao observador, ou seja: <span style="color: #351c75;"><b>o que para um acontece em um
certo instante, para outro é uma série de eventos que ocorrem em
momentos diferentes.</b></span> </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
As distâncias espaciais e temporais entre dois eventos na vida de
um objeto variam de acordo com o ponto de vista de diferentes
observadores. </div>
<div style="text-align: justify;">
</div>
<div style="text-align: justify;">
</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Nem o espaço nem o tempo podem ser considerados
separadamente parâmetros físicos estritamente objetivos, de modo que
torna-se necessário construir um novo conceito de distância. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Partindo de
quantidades relativas a cada observador, a relatividade especial ensina
a definir quantidades absolutas, tal que, quaisquer dois eventos
aparecem separados por uma distância espaço-temporal denominada Δs de mesmo valor
para todos os observadores.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><b> </b></b>A distância espaço-temporal Δs é definida pela relação <span style="color: red;"><b>Δs<sup>2</sup> = c<sup>2</sup>. Δt<sup>2</sup>-Δx<sup>2</sup></b></span>, que generaliza o teorema de Pitágoras para quatro dimensões.</div>
<br />
É fácil ver que:<br />
<br />
<span style="color: #cc0000;"><b><b>Δs<sup>2</sup>> 0 para brádion (chamado caso tipo-tempo); </b></b></span><br />
<br />
<span style="color: #cc0000;"><b><b>Δs<sup>2</sup> = 0 para um lúxon (caso tipo-luz);</b></b></span><b><b> </b></b><br />
<br />
<span style="color: #cc0000;"><b><b>Δs<sup>2</sup> < 0 para um táquion (caso tipo espaço). </b></b></span><br />
<b><b><br /></b></b>
<span style="color: #274e13;"><b><b>Para os brádions, que
percorrem pouco espaço em muito tempo, predomina o sinal positivo de c<sup>2</sup>. Δt<sup>2</sup>. </b></b></span><br />
<br />
<span style="color: #274e13;"><b><b>Para os táquions que percorrem muito espaço em pouco tempo, predomina o sinal negativo de Δx<sup>2</sup>. </b></b></span><br />
<br />
<span style="color: #274e13;"><b>Para os luxons<b>, o intervalo é zero. </b></b></span><br />
<div style="text-align: justify;">
<br /></div>
<br />
A relatividade especial não pode ser concebida mediante
sistemas definidos apenas por suas coordenadas espaciais e temporais.<br />
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
É
preciso, também, considerar um espaço dual, definido por <b><span style="color: red;">coordenadas de
energia (E)</span></b> e <span style="color: red;"><b>momentum (p)</b></span>. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Com isso, passa-se de espaço-tempo para
energia-momentum. Assim, pode-se antecipar que a quantidade E<sup>2 </sup>- p<sup>2</sup> (análoga a Δs<sup>2</sup> do primeiro espaço) terá o mesmo valor em todos os sistemas inerciais, ou seja:<b><b> </b></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #351c75;"><b><b>no caso de um brádion E<sup>2</sup> – p<sup>2</sup> = + m<sub>0</sub><sup>2 </sup>> 0;</b></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #351c75;"><b><b>no caso de um lúxon E<sup>2</sup> – p<sup>2</sup> = 0;</b></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #351c75;"><b><b><b><b>no caso de um táquion E<sup>2</sup> – p<sup>2</sup> = – m<sub>0</sub><sup>2</sup> < 0</b></b> </b></b></span></div>
<div style="text-align: justify;">
<br /></div>
<br />
<br />
As relações de energia/momentum, acima descritas, se apresentam na figura abaixo, conforme seguem:<br />
<br />
<span style="color: blue;">OBS: as figuras foram construídas considerando p<sub>z</sub>= 0.</span><br />
<br />
<br />
<b>
</b>
<b><a class="fancybox" href="http://www.cosmosecontexto.org.br/wp-content/uploads/2012/01/Cosmos_2_Recami_Fig_01.jpg" rel="gallery" title="Cosmos_2_Recami_Fig_01"><img alt="" class="alignnone size-full wp-image-842" height="158" src="http://www.cosmosecontexto.org.br/wp-content/uploads/2012/01/Cosmos_2_Recami_Fig_01.jpg" title="Cosmos_2_Recami_Fig_01" width="400" /></a></b><br />
<br />
<br />
<br />
<span style="color: #741b47;"><b><b>para brádions, um hiperbolóide de duas folhas, simétrico em relação ao eixo E;</b></b></span><br />
<span style="color: #741b47;"><br /></span>
<span style="color: #741b47;"><b><b>para lúxons, um duplo cone;</b></b></span><br />
<span style="color: #741b47;"><br /></span>
<span style="color: #741b47;"><b><b> para táquions, um hiperbolóide de rotação de uma folha.</b></b></span><br />
<br />
<br />
<br />
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;">Os brádions e os táquions livres estão
sujeitos a relações diferentes: </span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;">Os brádions podem ter momentum nulo, no
caso em que possuem a energia mínima (E<sub>0</sub> = m<sub>0</sub>.c<sup>2</sup>),
a qual nunca é igual a zero.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;">Os táquions podem ter
energia total zero, e então aparecem com impulso mínimo (|p|≡ p<sub>0</sub> = m<sub>0</sub>c)
que, por sua vez, nunca é zero. </span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;">Além disso, lembrando que v = p/E,
também pode-se verificar que os táquions dotados de velocidade infinita –
chamados táquions transcendentes – transportam energia nula. Logo,
nenhuma destas partículas poderiam transmitir energia com velocidade
infinita.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;"> </span></span>Como uma transformação ordinária de Lorentz determina a
passagem de um ponto a outro da mesma folha de hiperbolóides, o caráter
de matéria ou antimatéria é sempre absoluto parao observador, no caso dos brádions. No caso dos táquions, este caráter será sempre relativo
ao observador em questão.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Portanto, a equação energia total (E) de uma partícula
superluminal de massa de repouso m<sub>0 </sub> passa a ser:</div>
<br />
<b>
<img alt="" class="alignnone size-full wp-image-841" height="112" src="http://www.cosmosecontexto.org.br/wp-content/uploads/2012/01/Cosmos_2_Recami_Form_02.jpg" title="Cosmos_2_Recami_Form_02" width="200" /></b><br />
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;"> </span></span>Assim, a equação descreve o comportamento descrito no
caso em que |v| é maior que c.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Consequentemente, os táquions – se existirem –
possuem a notável propriedade de aumentar a sua velocidade quando sua
energia total diminui e vice-versa. Portanto, como vimos, quando sua
velocidade se aproxima do infinito, a sua energia total tende a zero. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Por
outro lado, para reduzir a velocidade de um táquion até o limite
inferior c são necessárias forças gigantescas. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Desta forma, c continua
sendo um limite de velocidade que não pode ser atravessado, seja para brádions, seja para táquions.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Se para
os brádions a velocidade da luz representa um limite superior das
velocidades que podem chegar, para os táquions este é dado pelo limite inferior. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Esta descrição é bem vista na figura abaixo:</div>
<div style="text-align: justify;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
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<img alt="" height="318" 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width="320" /></div>
<br />
<div style="text-align: justify;">
<b>
</b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #741b47;"><span style="color: black;"> </span></span>O gráfico acima relaciona – para brádions (v < c) e táquions (v
> c) – a energia total relativistica com a velocidade. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Para
simplificar, tomamos uma velocidade na direção do eixo x do sistema de
referência. Claramente, em ambos os casos, a quantidade de energia tende
a infinito quando as partículas se aproximam da velocidade da luz, seja
pela esquerda ou pela direita.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
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<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Na teoria
estendida da relatividade restrita, isto é, em sua versão generalizada, que engloba
objetos superluminais, a velocidade da luz também aparece como um invariante,
isto é, um limite de velocidade para todos os corpos com massa. </span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Porém, todo
valor limite tem dois lados, e podemos nos aproximar dele pela esquerda ou pela
direita.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Na realidade, a
formulação usual da relatividade restrita é muito limitada. Por exemplo, essa
teoria pode facilmente ser ampliada de modo a incluir também a antimatéria,
cujas propriedades são semelhantes à da matéria, com exceção de alguns parâmetros
que são invertidos, como o sinal da carga elétrica.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br /></span></div>
<br />
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<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Tabela normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
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mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:10.0pt;
mso-para-margin-left:0cm;
line-height:115%;
mso-pagination:widow-orphan;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-ascii-font-family:Calibri;
mso-ascii-theme-font:minor-latin;
mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:Calibri;
mso-hansi-theme-font:minor-latin;
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<![endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Uma forte
objeção à existência dos táquions se baseia na opinião de que, com sua ajuda, sinais
poderiam ser enviados ao passado. </span>
</div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Devemos lembrar
aqui que a teoria da relatividade estendida permite a resolução desses paradoxos
causais, paradoxos tanto mais instrutivos e divertidos quanto mais
sofisticados. Sgue uma explicação conforme o disposto na figura abaixo:</span></div>
<br />
<br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
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2WgFATSeJzv5kySJMkH5ENyomNDJ1xVCbMipgcjammYZ/Sw9G4EuuBrh9UM/SyURkinwE9DOcvNdsvX608dSs0Mp+XEUnPjVkHUKoiaeULPsbXsmJoVVbJGlKwRLSesZ0SV1IjiC2mpPUbqWdW7S1E2Ok4ENlNs4XSTzNapfLXKVsv0LU7fJnQd2EbwbZpe7ck44Svtc5VGldwRnt7PU3qot1vy9sq+Ppg9qj9G9BDYEOiQrA6arm7T3Wa566n036C3AbcAVwKVhKQSJhFOwAEKEOdN5AAnkDhTz19DJkmS5MOA55/wVLU5tTjeCuEpF1Z5xF0Zc3rNo/3iqoRZlXCcOFadI6wJC5a95SJ1skirEL4y250X1jMGuL8LrlaYzUxrpmoT1HOjoTfDaoOnQ0ob5FnDSn5EL3JWNNtqiVCKbas4bhRG1dyElJlg6TGWHpPSw1J6WM6Iyem2FBDMbyupES1jUE5vot5T0A6D14PUANXALordDLs4dlPsAqqBapAGGI1K2qBZKDylQslLIH2EpQ3JgSHu6RlzYgf3DsPqh9HGXE1m4IAV2CC7X+X6fcBngVkgVWB5kNLB0oBSoJygimISQzqBn8BF4CIoYCg63+2ZJEmSD8aH5USa2clSO5HSCXcbrBaYzU4Q5RxRzhGtiZutmrfLShvw5IR9hXFvkXCVCKM4oRfF1cKYUhCVCuNSYVzNC6l5ITU3oeYINUco2ULNiqlZMZYaltNtNV3wFCGlhPTMITO3w8put1KbNOsklw4Qsg/YSbCLYifBDkZ2E7KP0houHdUDHf4i4S4RSs6IlBND6pDjRGJ1UleX7Otj7m4onTD79MCAK6PXlVbPzZXA48C/AjcDV1A2GSwPNAAS4LxCVS9WlWm6eqmu5KlKpsR9lLgJCmhybV+SJBc6xFcvpR6RAz2Sv09OHbByIp6iiLc46i4S/jLhLReuUuEuj/snCf9k4akUvpKEE+7CqJE7wtN64WmH0QT9HLSzUBohn4bSCP0crBa42+TcIa0gZBXHPWXCUybcpbZZlNALYq4S4SoRVpEwC4VZKIwCWytIaAUJPW9EzxvRcka0nKiWFVEzw0pGSE4fYYFhlhKWUxJKwFZTY3pGVMse0nOGXdkhT+aIK33QCPRpKV2yt112t0muVs3XLbs7oJwDOQnlnJ7S58kJu7NDJDWClJCUGtHTYrp/hFt9krffTA/raRE9LaKkdMGsB1sCPAJ8H/QHFPdLuJ/jexK+IJEbNT5Hly+zlEkEGQQ+AoOAE2A8kiRJcoGj7oFZA7MZWgv0Frg7SUoH/O2uQjslKPyVwlsu3OVxd3nMKA0phSN6zrCSOUAD3XC3wjgHtRHyacinidHErRbN0+5K6fZlDPhzRvz5EX9hTC8MG0URqzjuKkm4S21XScIsSphFiYlONArsP3Wimv2OEKW0YceJSsBWU4WWFnecqGUPmZnD7oxhT+awJ3PYkzXoyRr0ZQ35sob82SFv5rCV0qfpLZDOQGvm3i4ttV/KTLC0KEsJKSlhzTeseAZl34AWGFYDIeruh9oIugdkkSQ9rig/lpS7dfURQ35IYXdyfB64DpgGVAL5SScmSfI3Ct9NtBqqNENqBW+B0g7jHLQzWtqIOyfuKRSufFvNGeIZfQh0w9tO1SbIZyE1gp+GcgZ6E/G0M1+nkjmgZQ/phWFXadypxHZVCVeVkMsTcnlCKU/IwbhaZqtltlbqhDCLhVEkXIXCKrDN/ISRaxu5tp4b0nJGtOxhNWtITR9S0gblwJAcGJJShuXAiJoW1TPiWlZMz46r2RE1O6KnCyNDGNnCzBFGgbCKhKtUuEqFu0z4SoSn0FbT+qAcB/aDH1Cs42pGr5I6rASGJN+I6g8bqTEjLaSmDEnubsloZeopJu+TlTWKvFBhzyjyT4F5IFNAKoBcEA+hMmFgdNSADJxBIdAINAKFJO/HkiTJhQ6V93KzTjbaudbJ1Q6mdxGziehnobfD1Q1fLzw9cLfAPAfjHPSzkM5QtUm12tz+Hn/mUEpu2F8YCxQnfCUJf6ntqxD+SuGpFK7yhFYWVUsjaqVQK4VaYasVthYUapmtliTUkoRaYhtFtlE0JsS8uJFr6zkJx4lq1pCcMaCkDcqpA1LKoJQyKAdGlNSQnhE3s2wjJ2HkJNTsiJIVNjKEmTnqRD3fNgoSRlHcKIp7gsJXInzFwp0bUlxnCakDqiHXw90spQwaGWE9LWamxd2ZwsqIKP5B7urS3J26u1k1DjD+NvAs8Bvg+8AsoBIoBbIAl7OSL+nEJEn+diG7iVLL1RYmtxO5jakd0Jogn4HUCrkNaju0DlhNcLfA20UCfWrWoJE74iqK+srsQIUIVAhfhfCWj65fNsoTRnlCL084i521YFwvt40KMRpB536kcbkophcLrcjWimy1MKHm20peYjRy4nJ2jGeGaPowTx0aDyltWMkIaTlRIy+u5ttqvi3lxXmO7dzzXs0Xar6QixJyUUIutuVi2wwKs1iYhcJVENXSu6EdB9kHsg9yneo/5c0b8OZGrKywkTEip7YxzxEo26CuJNLLIL8G7gK+DHweZAHhJYyngrlBZBBHhRKBxmAwGM5usgQgZDSSJElyobOLKLVMaaZSm+NEojcT5axsdDOtk5vdqnfAyux35w77imx/mUgpEyllwh8UvjLbVxb3lcU9wYS3fHSrG6M8oY+qMOGsd9aCiXe0OOZEqTA6LkSlIO7YUM6Ny7lxJScuZUVZxsi4E6W0YTl9RM0Ma1kRPTdm5MW1AqHm23J+QsoVVp6w8oRRJMxioZcJIyiMcmGUC1eFMIuFnp9wFUTduYNmoFVR64FqSPslz3Erq8eTE9bTh7mvF+YpKLUgG4DFwNPA/YzdoyjfZOxLwNWgRYSmTHQiJTIletKJSZL8jcKruX5A1tu40kGVdq51EqMFWhOMbmid8PRpWTF3WcJXIfwVIlAlpCmCT7bZpAStirPKuFpla5OEa5Kwpgj3JGFVirEbkMZdpXFXaVwLCifGe82ODZ0ZFS3P1vJsPSehZcedmhueI1i2oJlRpIdJWpimR+SMmJIZ17Ljek5CyY+oBVGpMCoV2LxA8AJhlthmScwMhq3yiFkZtqoiVmXMVSWsCmGVCK1AmHnCVSjcuQkp0A/tHNRV0FbDqGXeJubvhasDyinwWqhbCF8E9huJ/UKR/4VKNwMLgMmQ0ilLA/UT+ACNgDJgQigMCoFEQAkFSW4VliTJBQ+vZlodV1sIbwVrhtQK5SykRshtkFrh6tGz474K4asQrpKoVRySLxLjoUwR2iShTRJGRVwpj+jBqB6MW6Vx51717rKEuyyhlwstKJTShFQck4tiSnFcLxZGiRh3opqbeI8TaZbtOJGmR1hGVM1KaNm2MwOjFkSV/IjjRKlQSIXCKhVWadwMhs1gWC8f0ctH9GBYD8b0srhVIvRCoeck3EUitUR4CxJWah/UVcBSYAP4Ybg6YLUT9TSV64A1wMvAr4EfA18B+QdZ/oRlXeHUJIL4AC8hOiVMolSiNOnEJEn+RlF3w6rheguTWihvlpQ2ST3DlUZJ74DaAleHkjXiLo+7J41Va0+ynXAKuY3KuFlhmxXj22XbzpaIRmncLImbxcJVLFxFwiwSRqHQi4RWKOQCIRcIqUCoeULJS2jZcTU7pGeO6BkDWno/D8TktISSEZHTh6TMfjlrQMkb1AtHlMKwUhAfHTEsicslcbkkopRGjeKEUZxwRGwFE1aZsMqEWSr0kpheEjZK+82yASs4bBRH1TyhZgqYp4A3oN5N6F2m/AsZ93r4G8Bzuv574N9BfijJtxN8U8IXCf4BmHK+m+f/73DO/z+PACBjfCQv6sOBECJJkvOaKR39c/qeq6OUjl+UJEnOs5TS8fPBATZ6czQCEFBKFEACOAPnY887E4Kg4AAHnTg3CCiAMvFbwLlbuXPuX/1d+F/ERw3bBm0PVZsobx53IpNPQ2qG0kw9XXpuxFORcFWN7oc4UYh/6kRHiH/OiVqhPe5Enm8rubacG1ezYkrWiJYxrKX3O07kgZiUFnKcqGQPqvlD406UCuPjTlRKo0pp1CyxrVLhZKaucnvciUZp3HGiUdpvlg3pRRE5JyGnJ/TUNl1fA/ku4NvA9zl+bmCRqr4G/JLz/wLuBG4DbgP+GbhRUaZ/9A2SZCKOERhjqqq+rw3HT7uwnPin10IplaTRPUQcXY6LjxCiqqNL6cfPGTUjG5WdJEmKLMuSQiAnnfjBkHfC3MfMVklt50qbrHXIxjmmNoKdhdrCU/qsgrinImFVjk6VTBSiY8MxJ9rjQjRL7PGQS4VcKqTgiBQclMv61JJepSCq5Qo5W6iZQs2O6JlDWmaPltnjOFENdKuBbjXQqwUGjYywlRU1ciJmblTPDRl5Ya0wohfaepHQC4VRKMwi4QpGXMGIOyjcQTF6J4PykBkcMcviRokwCoQrX1h5wsgVcnaXnNYuuc+aWiNXHgCuASqBKcBlVL4G0nwo14BOp9JUw5quKZMlqQzwf/QNkmQi72u693XfheVEB0mSNE3705c9Lj4HWZadg4wxQogsy7o+tl+nTEHBGKHOjiSOygwFbNQm42PfxNn6eMyh7xiHThAgH3UjA5ehyH95bdn/RnHv0t3Hy4YO0g4Y1dCawJpAzoI1OfuqMrlZcXeb2WFvifBUJIzymOPEP80Qnfqbd2eItlliO71aqcSWSmwpOMLLBqTSXqW4RymIqjm2lGWPO1HP6tUye/SMAT1jQEvtUQPdSkqPnjpkZUXdOXEzN2rkRIy8sJkf0YuiRpEwioVVIpyVMO7yqLMBuGds7tsMjow7Uc+3zdyEkZNQs+Iso52ltOgprR6ricn3M3Y9IVVAJTAD9CpgDjCL8suYPA0IAoWclzKWer6aJck4jLHxx/9DqnhBQwgZ7xdj7JI5544cCSHvdJYnYFnWqOgYAUAoUXUV48lh0on/R7TdsPZBb4bSDKkJaivRz0BrZFanlTbsL7BTSoUnGDfLokbFO/tBjKeHRnniXb3msfTQEaJRnJBKBC8WvDQqF0WkopCSP6LkxfTcmJYT1nLCWk6fmt2rZ/Vr6SE1VaipQknrl1P75EBYTU1omcLIFmqukLOFVCCkAtvpMssVYbUqqk6OaVPi7lLhKRVuJ4LCFRR6+bBePqyXDxql/Vph2Mi1tWyhpcW5f4S6enSp2UMbZNytSnMoAwh0UwEF0zMBD6ABksu0FElm0JI12OediQNqGLPDREteoNAJ/OmzHo8HE1Q4fr2MMdM0Aciy7CSPRJFAIRGqSfKoYjQieVRHi84I41i8IxkCykFlQB4z5kQNMUAGV6Gof30n/gUa/OgsqeyEWQ29magtVGlhRofkauZWk+zp8WSGU4tFoEy4y2JWMOY40aiMvydDdO66Z5TG35MhOnve8GKbFwtWEpEKw7xwRMkfkXOjWk5UzQ6p2SE1u1fJ6lHSe+TAkOSPc1+Mp/TwlB4pJaQE4nJaXEmP8cwYy4jT3DjLi7PCiFQclspDSmVEmRRVJ8dcJbarOOEqsV0ltqvMtspso2JELx9Wy/r1kj61IKRlx9UsWwlEqXcIZpfGmzy0geAHBDMkmZVXlK/fuGbbjm0btjc8++wbn/705wCJABLjyXUpHwecRIlSOj6ghjFRXnA95YmMJ7zOVei6fvPNN69du3bTpk27d+/eunXr9ddfP3H6xekyO18y/lYUFBQ89vRTO3fv3LFl6113/sDv84FAdivjqWLSif8nlB2wquFqhdkGw/m3EepJGO1G2nCgSKSUCl9Z3F0eN8uFEbT/Nxmis8uDURg3CoSZJ8xcoeUKLVeoOULJics5ITknJGcOS+lhnhaV/GHmHWGuIeLqY2avrA+o5pDq7tc8A6qvT/H2cl8/9w7zQEQK2DxDyFlCyRdakdBK43pZwiyJWaVxq3zEKh8xK8NG0NbLhFYq5CKh5Ak5N65mh5SsITm1j3j6YXQDG130t8DfAxmEIBjMtoVobjJpuLcAACAASURBVO7dXX28p1+0tnXcdOMnRz8lEz58Sc4X75mW1XXd5XI5xy90LTqvfzwH/NrXviaEaGxs3L9//+bNm+fOnescnzipwhibM2fORRddBCA3N7ehoaG9t3Ppije2rlonYmLR8y+oAChMtzrWZaZsbPJkbMZEc4JBY1BkKDIkGZIMKoOOd7vZ/11B9C8K9q7e/f9oxo/Mif7Mo4HCM4GieKAg4cuJuDJH9ECH4m6CdE7x9/sLEimlwh9MeCtts1yoJbH3ONEsi7+vE43C+HucqObYE53I0wdZ6ghJCVHPMFyD0Pugd0HtZEqvpPXLVq9s9TKrk5odsLpg9cM7TLxRBGI0LcayY3J+XC6KKMVRozhqFEfN4LBVPmJUhMadKBXasjOvnR2SMwfHnUjIJhO/AT4JZEgSLy/PiScSTz31AuD+yc8ftIX4xc9/6rTQO8PYSc4r453l4uLiBx54YM2aNY8//viF7sSJeZ8zmHjbbbclEolPfepTGJtUYYyNp5Oapt188801NTXRaPQb3/iGaZpf+tKXhBAPPfYIKBTgaMPRoc6uBbNnTxw2TDrx/4KceTRzcndKufCXiUCV8FcIrWAQViOUJpjtevpwoEiklCWskoheErOC71uH+E5/eXzjLz0/4YQnT7hzhZ4b0XMjal5EzYtImYKlCZ4imCsuW72q64Ri7JDU1xXt94b6B4u96OIvuaTfm9KjivzfsvRfqvorXXuESU9q6mK3a4vPVe9xnfKa3amekUy/sDKElSPMQmEURYyyYas8pJcllGJbLRZKkVDzbT03omb1SymdsJqgnFaVF4BbgVwuS2CYdFHewKB47vkVTPH95y8fsYX4/u3fc/oa4GBJK34MoJQqigKgtrb2xIkT3//+91tbW5csWQKAMTYxjbqwZmCcVzueCN92222xWGzZsmX33Xffl770pfHUuKqq6uGHHx4cHOzr62toaPja177mdrsBLFmyxLbtBZ+cDwYZeO7Jp4Utvv71r4OAMMiADM6JSaBJXCcELsAFgACcgQKMQpEgq2ASuApIBBIDZ445x+de/lIIBWVg3HkgaTpTVDjrGZxwnh2L8cscf+DMrb/niHPQ+Rj81ZEzj2ZM6vIHbU9x3F+R8JXbVklIS22nWguMNsnf582LpZQl3GUxR4LvV4c4YQyxwH6PE925tpWd0HLCanZIzglJ2SM0LY6UOMwQjIhk9nD9COh64AXg18BDCp4heBK4H7gX+Anw87F4FHgOeB3YzEidypp03mHwPtkXllPDWl7cKolpJYM8v4flj6glQi5M8Py4nBtXskbkjF7ma4d5DvIp4ElJ+hqQDQIwBCsz4wnR1S06eiIxIfbX1V085aJxJ34E5VlJ/mfuv//++++//wtf+EJ5eXk8Hl+xYsXNN9+8efPmjo4OZ2SDc+5kke87WfFx5j0zRV/5yleEEKFQqL29/dVXX3VSxTvuuCMWi3V3d//hD3+44YYbJn7JihUrbNueMn2yrMky8Jv7f2Un7LvuukvTNRBYijLuRECilAQUxXGipKmEETAKTplmUEkBkT4sJ1LGKZeoJL/Lg4QyLhHK3nMQdPRy3jfln1ie+Z4Hf1141tG0yV3uoK2V2s5KFU9VXCsYhLsTRhuMdi0w6CuK+IMJd1BYpYk/V4c40YZmfmJ8P0QlPyLlhqTsEZ41zNOFFBDca8tGzJPaRuU3gJ9y9YuqfjXBRQyT3epUUA1chqRAYuCABOdPHmRAkqCkQCoEnQr5WtV7szdwl+mtVcyzitVuBeL+bOHPF2auULNGLaxkDGupYcUXkq1BKJ0ELQQP6fwLgIdw6BaKy1JiQtQ1nLnvgQd+9NOfTr14OqAQuAncoz80yXmlvr5+//79r7zyyowZM+Lx+MDAwI4dOxoaGmpra53BjfEe6IWVJI7DOZdlmXP+5S9/OR6P33PPPW6327kot9v9rW99q6urSwjx7LPPXn311RjzgmEYzz77rBDihk9dDwaAvvjiy8Mifsttt0J2XEYBEywDPANaJtQUAs0F2QIsQHV+n9io+7jMQDChHgfA/7WvSvk7oepEM951hMtQNCgauHPfS05V+Z2eNAEIiMSpLE386c4lE4BT9j/96A8Lx4mecqGXCWelindSwlUaVtMGqdUBuQlmh5E94C2NecqFq8z+cxnieGKoO5shju2HKOeFpdwQzxpmmUMkECfeGMwIpGGgVtZXKMp9wE3ANGAyUAkUcdkClxXTlV9StOD6BV/++pdv/+Htd/z4jh///Mdf+/a3r7r+5pzCuYRNA2YBVwKfB90EfoxpzZI1pHqH9LQRLSuuZiXU7JCcOSynDykpI7J3RDIHoHRS0krwEPAPgAcUYCgJBkKx2BNPv0IUBYwBHFA0NQ1wSYaUdOJ5xzGdruuSJHV2di5evNjpQKWkpGBszJdz7hz8iPpWHxLvSWydPPGuu+7ChFIbSumll1567733tre3R6PR+vr622+/3ckWnfHEB3/7KzB4vf4zZ851h4bKpk4Gh27qmmYAZl7hZZ/6zLe8mZVQ/ASaDuqX5XEnypyM5oOjAvpwnCgpGmHSRBVSLk+/7PJrr//E52/9ynd/8KM77v7Jd753x+e/eOunPv2ZnKICSZFAoWiKNK5CRrnEKXvn/SGEUEI+Iiey7KOpU7q8VcKsFPokoVQIsypmBsNmfoyn9EFugnSOetus/BFnrcifm2XW8xOao8K8uJ6TGA8lb1jKGZTSEqo/proHdb1NUbcp6pNU/jrYZY6bqD5aLCqryqSr533++z94fNHS5Tv2Ld2y+/m31r+wau3iLZueWfn6i2tXLtm2btmuTX9cufw7//bvlVdeDVcGaBowmRtfScl4yp+2WdNPaWZvSqpw+4TlSRjuEdPVbbnOmvphVdmn8VWq9F1gMuAmACGYMqVseFg8//xiEAZQhaoqNQk8BB4oMtgF1h37W8WxwNNPP93a2rpu3bp169atXLnSMaBTr4cJCeOFgqqqExfzffvb3xZCON3nSCRy9913W5blpEiqquq6fsstt2zfvr2np+cHP/gBAMMwtmzZIoTYsmVLzb6D4VDi17/9DdXo6J51hEPJTrn2y19dVf93y2tcdzyE8utgBSH7wExIBsBlQAVMAotirBMLEOfGvNzx2V98VZxDkpx/XZmZ06+66of/9m/LN2xYumbN0jVrlqxevXjVqiWrVy9ZvXrpmjWvr1372qo3n1740r/+7MfBGVNH53dk6qSNlDMuS9S5mo+yFIfnHEud0uWptK0qYUwWcrltVEaNspC3RJjZYcXqBD8L/QxP6zaKY+6g+NM6RGeWWcuLa3lxPTem58acfW6ckHOHePYAC8QkT5jpPYydAdYCDwH/BFyiqulc5uCgMp1/zfwnf/fUkq2bX9uw+aU1619avWnhhu3Ltle/tbdmVU31lqMH39q3c9GWNQs3r166bfPizVuef3vN7xeu/MTffTk9/Rrg74G7ZH2Fqp3kSodmDKlGWNZGuNorKS2yclzmdZTs5HhTot/mfCohHkapLEvZ2Sm/+tXjX/jCNxiXAaoyjUEh8MhSAIxS6YLsjv0t4SRTzlpgzvmNN9543333fec730lPTx8veHb6nuf7lf7FOCXZzrpmxtisWbMeeeSRRx555IUXXnj00UdvvPHG8asbX/QtSdLs2bODwaAjU5/Pd++997722muvvbr0i1/4KlEkMFiWSQh0wwUEyCU33b6t8cs7z9264+yPn99881d+5ksvBjVAFFnWvYZhcq4CKj5UJ3Juejw3fvrTj/7xj0vXrFn41luO/pZv2PDWli1rduxYv3v3hj171u/evW7XrjW7t7204vXXVr25fPO6R594dMF1C3SPOd6VZhKXufRRO5HmHvNN7jDKE1qFUC8SvEook6J6MOwpE/4CW08dgtYK5RQ8LVLu0LsGEMcKs51hRDU3pr7bhs7eX1pqWPePaNaArvTofIfCfsXo31OWTmXoLudClYsuv+bu/370+beXLt+54YW3V726bv0b27asqt6z8UD1tsN1O4/V7z5xrPrEiZpTpw40NtadPr3n6IGNtduWb122cO1ra9Yv/+nPf1J16SWQUoAyKP8smfcy5WUubaRsPehKQhdS6TdM+hnYD8FuAbHGKwAUBga4XanOGng2Nm7prJMHUUCT9YnnH03Txh8rijKxaHRivdQFWpczcXrB2efCSYrHxwHG51Wc05zyTIwVz47V0ygyFIUQmcACUhgYKIxizL5l3o72ScfiF58SMxrCn6gLXbu23vWtn6PkMljZkHyAMjpsTsZW+DEKyjH2Pf/i65GkGdde+9MHH3xxxYrlW7YsXrdu0dq1a/fuXVddvaGmZnNd3bb6+p2HD+85dmzv8ePVJ07sOnlo54mGtft3L17/9uL1by9eteL7P7u7eFKF4rEcCzLGKKUMkAiVPprN+FjecU9Vm1oaVYIJZYrNq4Q2JW5WRN2ldlqJ8ObEJFcX5JMwzyKjVyuMvceJelH8fZ3oCFHNiikpI4pnUNZ7ZdYhYTPFfwE3AH6nJIlxdsMnPvW7F994c3P1828v/eOKRSt371m9r2bDgf1bDtVvP3Jg1/GG6tNHa882HmppOdzaeqKjo7Gn50xf+9H2U3tP7NlUt3HZitd27Nr+4pLFn/zUl1R1CnAD8APg98DbwEpgCfA88EvgR8C/Ap8m1EUIm1gVBSiM6ZRyTogMGJKkMMZBJdlMOvG8M7qC7d2+kyRpXBnjK4X/9LSPM+MLmR3lOVfxp1Pnzt8DWZYn1ipiwkCBzHSFqBrTZSiGJKmMWoAXYKCgWbjsMzceHJl8PFF1NDq9PnRdzdCndzb+y66T/7low42f/ZbuzgYUhRCOD82Jn7v11t8tXLh2795XV616+a23Vu3atbG2dmNt7c7Dh3cdObL3+PHa06frm5qOtLWd6Oo63dt7cqDzSHdLQ8e56pOHV+3e+sa6VUvXvLVoxbJps2ZaLsvJDDnnE35b//pIOUcDk9q9JcIdFK5JES04ZFSG9XJbKxVmibBKYlr2EKw20NNMOev291ilwigWeknMLIoZhVErP2LmCCtHWJnCyhRmtjCyhZYVUzNH5Kw+OauPuuOyEZPVtZr2Hxq9DnBJBsAAFVDx99/9lxc2b3x+4/rnVq9etmnr2j37NtZWb66r2d5wYO/hhtrjRxtOnTxx9uy5ppaW1vae3v6RkXAoFBkaDvX2DbS0tp881binvmHZxo2vrV79+saNt97xA7i94AoUA1TiikmJDHBN0zjno7Nao2O4Y2udyFjpKJEADcQAMUAUEAWEg3AwBWxssZRkQjahAyYFp2Ay4AW8UBgUBm6AG6PFsCqHyqFKY6FB06FZY+GG5obmheYdPUFRoCijU3KKBtmEbELyjIUPkg+SH5IfiisZF1R43j9U73vDOS6njIbT3OOhBN7/Kd2Abox+WhQ/FD8kE5IJ1Qvuw1W3/D/VnTOOiosORK48GpvVEJpRF5p3XFx1JDH/wMjMtSfV23+J0llwZUNzEcAAPE4xDgUUBkt7l4lGu68UoIxJjkRVzQLlkGVI0jfvueflNateWv32a+vWLNu2ZW1N9bYDB7YfPLiz7kD1kSO1h48eOHbi6MnGxqbW1s6evv7hwaHwcDQxEIp2Dww3d3QfPn1mZ23dm5s3v/b224vXrV3wmX+EqsAwQLhhet6pE/qInaiXD5tVkXEnukrjZl6Ie7uYdJbKZzSrTc4La4UJvSSmF0TUvJCZF7ZyhZUjzAzbzLD1zISeZauZUSVjmGf08IweGGGqhEBXAvcAcxnzEsXpuOK279z2+Irlf1i7+pm1qxdt3bpmd/W6vTWb9u/benD/zsP1+44e3n/i2OHG06eamppb2rp7+oZHwvG4nUiIaCwxEop09/Q1NbceOXtuR339yu3bF61d++Jbq77wnX9VDBckzbA8zi5ykjTa82KcEUoIQAmhBGSsjSmnTJJNy+typXl92YHU/PSMvMysgpzcgrz8otyCkvyisvzi/IKSgsKyyYXBycWTi4svKg1WVZRXTamsnDVp0pzJl1580YxpU6fPnjZjzkUzp100c9rUy6dPu2LGpbMvnz7nihlzZ1125bxps2ZfMnveJbPnXTrnqulzF0yfu2DGldfNuPK6mfPmzJw3Z+aVV14+b94VV82/4qr5s65eMOuq62Zddd2seZ8cixtnzbtx1rybZs27adbVNyTjgopPvm/MnHfDzHk3XHbl9TPmXjd9zrWXzFpw6awFl1wxf+pl10y97JppM6+95N1x8WXXOE9dPGPB1BkLps5YcPH0+RdPn3/JnLmXzJl76RXzpl9xzWVzPzHzyk9ePveay+dec9mV18+ed9OU793/D9ubJu8fufhgdO6R6LTqnun7R+Ycic8+GJ5T3fcP9SNf2dty1zMrvvidexRPgDNmAIbTbzJ1psuQ6Z9zIiEMoLruAjgo1z2eO3/841dWr37h7ZWvrluzbNuWt/fsWle7b8v+/Tvq6/c2HKo9fvzg8ZMNJ0+fPNPU1NbZ2TswOBQOheMRW4TiYjAc6+ofamzrOHDsxMZ9+97atm3R2jWvrV71j5/7LDjXDRfAZaZI9COZRuM5x/xV7a4y4Q4KV1VcD4bNqoRRIbSgMEuFKxhzFYXVtCiMPkitkFoR6Jdzo1ah0HKFnB1TcxN6vtDzhJo5uh+ikjWkZPZJ6T0sJUT9I6rZqmn7wO8EvRiEMkUFpZC0+Z+++dlVq17bteWpVcsXbd/y5q69G/bWb6s7tuVA7faGA7uPHqo9fvTg6ZNHz5453dba0tE5MDgcicZtIZyIxhIDg8Mdnd0nW9uqjx3bcejQG5s2Ldu6feG6DX/3xVvBFegmiATCJT7qREnhlJN3ag2YU4loIMOP/Cz94ir3zBmpV1+Z/XfXF/zjTWW3fGbyrbdM+9oXL/3ujy773t1X3fnTa+6696p7Hr/63t/Ne+DRBb9+4rpfP3n9Q09d99CiBY8tvfKZhVc/t+Sa51+/9vkVC15effWra+a/tnb+0g0L3tgy/81tV63aceXqPfM21szddHDWtvordh6atfvY5dXHr9h3YmbtyYvrmy+ub57a0DLtUOslhzsuPdJ56ZHO6Ud6px/pnX54cCyGxuPyhmRcUFE/8r4xff/ApbX9l9T0Ta3uuWhP1+RdHVU72qp2tE3a3jFpe8fkHZ2Td3RO2dl10a5uJ6q2tY9H5dY2Jyq2tE7e0T11R8+MnR0zd3fN3Dt0xb6RWTXDs/cPXFPXc9W+jnm1g1cdFDP2iSvqxPwGccW+oTkHh2bVDcw8MHTJ/pFpdSOzj4t5x+Kzd3TMX3fK+M4DKJ0DqwCyD1BMwAXwiTMbE5woSQpACZUBDkn5+8997uVVqxatX//iqreWbtm0Zt/ejQf2b6ir3bJ//86Ghv3Hjh88ffrw6TPHzjadbWlv7+7rGwqFI4l4QsSEiNhiJGb3j0Rae/uPn2ved/To5rr9C9evfWv3zmeWLpn7iU+Ay6ASpwr5aPJEln3UX9VuldquMtuqjGllIaMyrpfbapltlNhWWdRTEnXlCNk7AqkVOAO9hWQMW4XCyBdKTlzLs/V8oeXajhOVrPC4E4lvGO4Brp6jdAfwDWAKZRxcAqWTpk5/YfnKF9aufWzF0mc3rl5Rs/ft6tpN+w5tqzu2veHAriMNe48fOXDqRMOZ0yeam850tLd1dff1D4bC0XgiEU8kYvF4OBLrHxhq7+g60dJac+LE7qNHN9bWPrt8xbKt2597c+Vls+aCSSCSqpmOAxljzpqnd5xIQTUmpXiU/Ey9okSdUuGeOSN9wVW5N32i6OZPlX/uny7+6uenf/PLl3znhzNu//G8O35yzV33Xv2TJxb8++/nP/j4dY/87vqHnrrh4d9d//DiBY8tnfuH1656dvH8Z5cseHb5ta+uXbBw3TWL1i94feM1y7YuWLHdceKcdXtnrd9/+ZYDM7fXX77zyMy9xxwnTq47O7nu7JQD5y462DS1oW3aofZLDndcergn6cS/kfhfO3HSzvaqHW2OAS/e3TN1T++0vX2XVPdfUt1/6b6BcTletKt7ys4uJybv6Jyys2fazt4/deJ1B/uuqeuZf2Bk+s7By2rE5fvtq+vtBYftqw6H5xwcmnskOve4mNEQnVY3PPtQ+MbDsc/s6/367pb7Fm759JfudAcKAMUAzD/vxLFUkQN89lXzX1u58pXVq59esmTRxvVv7ty+oa52c/2BTQfrth04sOfIkYMnT9U3Nh5pPHuiqcVJEgdGIpGoHU+ISCIRiieGIvHeoVBrb//J5ta6kyd3Hj60oa72yUWvvbVj+zMLF5ZWVIFwAv4ROZHkHPFOarNK41apcJULrcjWS4VaLORCoRfF9aKIqyhq5QstPQLXMfD9kGrgP2Hm2q48oecJPU+oBSE5b1jKHVKyB+XMYS1jWE0fUAN9zN1N9XZCn6b4CpAFmUAFJBjevLvve3jJlp2Pv/H6C5tXLtm78Y1d1Rv2H9ux/8TmvYd3Hq7fc+zwvpPHDp4+eehs47gTu/r6B0ZCoVh8JBobjkSHwpHu/oGWjs7Gjs6Gc+d2Hj68++jRZdt3PP/W26+uW//QM8/JXj+oBK44DnxnPJGM1TsxClWHLxV5xaTiIvWyWa5581M/cVPWZ/4p95bPFn7hi8Gv3jbpm9+6+PYfXHLHXVf86K45d98z++4HZ//s4bn/8cjc+3+74De/m//bp+c+seSK378+44U3Zr60fNYrr1/5yhvzXl5z1csbrn5t01WLt8x7fceVb+6a9dbey1dXX7bxwKWbD0zb1jB11+Fp1Sem1p66uO701AONF9d2XFzTPbW2Z9r+3ksP9E8/ODCjfnhG/fDMQ5GZhyIzG2IzG2IzGxIzGxIzG+yZDfbcOpGMv4GYs1/M2S9m14pZNWJWjbhin315deLy6sQVe8WsajGrWszeJ+bUiLm14sr94sr9Yk6NmFMjZu8bDeecWdXi8j3i8j1i1r7I7JronNrYnFp7er2YdkiUH+i96OjIvBOxK2sGPnlQ3FAn5taNXL5/cM7hyNzD9hX7o5fXxK88JK48JC7ZLybvic08EL+ytv+zB7u+vq5u9vd+ZmQXO+ujyZ93IkDBZN2X8usnn3pz8+aXVq9auGH9yt07V1XvWb+/ZtPBui0NB3cfPrzv+PGDJ085eeLxc83nWjucPHEkFItE7eGEGIwl+sLRzsHh5u7ek82tB06d2n30yI6jhxdvXP/i2yuXrlt3/6O/BeFM0Sn5SPrOjhPNkphZYptlCTk/phTFpYI4zY3JeWE5b1jPGzHzbDMrLqc0SloDWDWMepoypGfF9Dyh5iR4ziDLHmDZAzyjj6UNyKkDcmqf5OuG0Q5+DngM+NKoEyVAwjWfvOXN9bv/uGL1U28uX1a7dVnt1mW7920+eHJbzbHdB0/vPnpo7/EjNaeO1zeeOnS28XjTucb2tpaOzs7evv7hkaFwZCgcGQyFB0ZC406sOXHiwNmzu44cWVNTu3TL1j8sW75887abbvkck1SQ0fFEQghldNyJhBL2/7J33vFRlWnfv+5y2rRkUgnFAFIXRCzYEEQ6KnYRdW3YsCL2FQuKXZpIrwktCaRnSjIlM5mS6ZNJ741OQglNOvP+cSZDENxd993VZ5+H+/P76OTkzMmZwznfua77vgrLsIpILqEXN2AIf8Ot7C13SEffHT35vm4PP3rNk0/1e+75Ia/MHP7Gm9e/9e5N73x4xwcfjv54zl2fLBrzxc9jv1s6bsHKuxcuH7N4xcif025fnTEiOfO2zTm/YuK4DOu4HOc4jWeMrmS0MXBrYemIorIbrRU3OKqGu2qv99YP8zdcX9LYlYk3l3aMKDsyouzYLeXHb6s8dVvlqdsqztxWcea2inO3VZy7reL8bRXnRwcuXNX/Av0WK0UaikAUmXhXyYW7Si7cVRIMS/yViMjQboFznQqKTLyh7uTNjWduKz860nVwlK1jvOf03eWnbi85ekf5iZHlZ+4oOX2b98xt/pM3uY7eVHJhbFNwbH3wZuvu+EWpMOFJUPQAKotASEnIbzGRUpYQBhD964svZxXoNuXkJKtVapfTEPDrS3yGEp+pLGCrrvTW1fkbGsoaGsuamqqaWup27GrdvW9v+6EDHceOHjt5/MTp4+cuHDl99tAvp9qOHt998HDTnn0VLS3ehnpLZXlRRVmyKjdFrc7RGyZNvhcQpeQPiQNBvcsjhrXK+p2S9gnK+gTZHkGhe5DrFmTjz7PxZ5j4k0z8SUn3oKxnkIk/BsoGIAWA84FzCzE7IhJOCnFnmegzXOw5JuYkE3mCkZ3hpWeksqMSSQNhXMCuleBRDI0BcX0fgzQm+puf12YXuZKNOZvNqm1OQ06JwxCoLiyptvkqSmrr3XXV3obaQHNDRVNjZWtz7Y7Wxj27d+7dt7f9wMEjRw+fOHHo+PGDx44dPHZsb8fh1rb9NTt2+mtqq3fvsVdXq1zufJ8/1Vi4UaVZunFTt779AFHKXIxuQ6hzSZ8C4jgiU3IxPSN6DYrqN6zPiDv73XbXoDFjr580ZcTUB0Y+8tiY6U+O/+szk196/d6Zbz345sxHZ7/x5PtvP/3hBy/MmfPyZ1++/vU3r37zw4s/Lnlh4dKXlqyYuWz1rGUr316+asb69TPWr38xKenljRtf3rplZmrKK9u3zUzf/npe7huqvFfV6tc0mpn52lcL8mfq8mfq8l83mEW9YSx602h702h7q9D+VqF9lsk5y+ScZXJfVKHnqv4L5bui3jb5r6hZhot621gS1uzCgCjxx/A+rxVVvmqueNNc/Lap+N1C27uFtrdNxW+a3K86/U/aPZPMpc/sODu+/PztlWdvrb9wY9XpO8pO31566s6G4N2twdE1Z8b5Dz5SvPNVY+2EDxf3ueleBNEEpCxIeCwDwgPmji/ldQAAIABJREFUrhQpjQFCFRyk0bFbcnJS1OqtBdotBfn5Xo++xGcI+E1lgaKKMlt1pae21ldfX9bQWNrYWNnYXNu6s2XX3t37D+w/2HHo8LHDHccPnjzVfuKXfR1Hdx883NLWXr97T1lLi7+hwVlfawz4tW7nNqN+XUb60qQk4AVAf4zv3IWJksTzNOE81+08E3eexp6lsadwzHEcc5yLPyfrGRR6nGTiWglrAMgDKMLyeknMUSbqJI48ycacxcrjSHYE8b8w/EmOP8RxtYDsgFYQuAVAIYa8YIqvu2WE3lm6PkubbMzJdBemOfR5pS5DoFrvrfBU1Ft9JZ76Gl9jncjEipammtaWht27Wnfv2bl3374DB9s6OvYfPrzv0KF9hw7taG9r2L2rvLGpeX+bs6q6uKbGXlef63BmWKxb83Vqq+3OiZMJ5QCoWGsIACgliCJEERAAjAFzQKTAKkESA3wE8BEgSEOSyEAiA0EK8miIiAWlDJQyiJRChAIiIiAyBuQKkCtB2Q2iEyC2O8R2h5h4iImHbt1CSkiA7gnQozv07AE9e8A1veCaXpCYCL17Q5/e0Kc39O0NfXtDn/4X1Xsg9BkUUt8h0HcI9L3uovoMu6r/Qg3/e+p9fUiJw0Lqc9NF9b7xoi7fnngDJN4AfUZAnxHQdxD0GQS9B0CfgdB3MPS9DvoOgqE3wmMvj3e2ji09O6L05E3VZ26qPnNX9YWR5WduqTp9Y1nHraXHJpUduXZ5Htz0ACgGAumBIJolilDXcir8HSZiQgHhyQ8+rC4qSlGrt+Rrsm1WfYk/3+s2BPyWynJbdaW9pspZVeWprS2tbyhragozcde+9r3thw4cPHLw0NE9HUd2HTq8o+1A8979DXv21uzYGWhq8tbVOepq8j0uS2V5Ul5OZqExVaW64fY7EGZ+fS7/ESZeUxYxtIXrfkbR64IQf5yJaCOKWiGqlEYW0shCqrTI4kuB3yuJPBeZEOQig0q2mMNrAeYA81VsdxXlTQLfxrH7OK5VLmmUcGVy3ialGhm3jOPfAxjNIqAALGIw4gCkXy9ckZSrSdYUpFoL0x2WbE+x1ufW+b3mQElxmd9ZEXBUlQeaG7w1VTW7dlS0NDXt3VPV0NCwY0fr3r079u1r2rtnR3tbS9v+1va26taW2p07qlpayxubAk3Nrvp6Q0WFtqQks7g4Wa3ZolYvT94EmAKigBEAUIoJQXDZP3IoSLEzOgfhTgcBEwAGQAYgA8IBpWLHR7FUZ6gPpBjDiDAApkDppXPAYs0xsa4nDVV7p2FxQDmglxZex5eJ/kq/rrZ0Vf/TRX+f4PeKQcB0rQUrAZAAMMACjoLhU57yHbkpcP72quDYkvPjy06NrGm/s273s6X739RVTf1gSY/eo1iIZDuPIB4CAXAAEcBEANP1Gel8dDAgDBgDwau2bEnRatbnZGWYC3Mcdq3PU+DzGDonE23Vla7qam9dnWgnNu3ZV9HQtGPP/ur6pv0HO3bs3Hvg4JHm9vbm9vamffsb9uyt3bmrsrmltLHR21DvbKizVFUUlHizi61Jqty16ds/+u5bwLRrhrgYtx8O1P9VwrtoBoWzgMLVKsPFNaBL7V6x0XYoKh5dUyYZWM8mnJYknEERB6hiPzABAANIC559PfjO50FgzZKoI5g/DrBH2T0YJ/UALIqNXQzwLsBiWaRDKjmAYIdMtgfAyhI/gvypE0/dN6kSYAbHTRCZSAADMApFwoqktJQC4waVNs1mSndYcrwOrc+tL/GFmehrqA00N/hqq8uaGqp3ti5Zs/q+hx+eNHXqtuzsHfv2Neze1bR3T9O+vc3791W3tlS3tlS1tJY1NJY0Njnr6gwVFfmBQLbTuTm/YJtOtzEjq1v3noDoJRD8DSYSjAjGhJLwpAnD8RwnozQSQEZYiUg8hmNYQjjKXmXiVf1z+nOYSIAyXLxi9ONP+Y4M85y6teL8+NLgGP/x0fWHrvfVdJ+/GUY/CdKBAD2lTOy/wERMafdePZMzMlK0mmRVbmaRKc/l+BUTrVUVIhNL6xusJSXb89R6q91gthbZnZ6SstKyqr37DjTs29ewb1/97j21O3dVt+4ob2wKNDR46utsNVWGgF9f6s912tflZG3Ky52/do1EpoDO4sEiCrt37/79999PnDgxTLrLayOJGO26neM4sYP2119/HRUVJR7qYpoQ6V4j9G4SYk9IlMcQ72QitgB5DyQPfz7fXFB8ps/wV1duPnT3PUVSZUZUnA+ovpdMReE9gP5UuAFgKBHGAXyM4BOA9zjmNYZ7VCqd8sQTy+rrgkOGThYbzXJACGBAeOANw1N0mm0my7qc/O1F/ix7mdrt0fkchlKLpcxuq3A7qkpt5QFndUWgoS7QUFfd2jLxwQeAYKDkyRdmNOzeVbdrZ82O1trdO+v27Crf0Vza0ljZ3FJa3+BtaLDX1ujLywtKS/M8ni1GY4pel1ZQcOvdY4FygAAhJCaxkFCiycVsoS6QpAAMQxQMExEq0Y6lEQCRABhLgAhAAMto57sEBAJgLCard05UYiCXCXfRZc/MpUz8x/p9e1/Vn67fOX7v4S92tQcAisUSgwSAMgIgBdxxz2Mlu24v3XdnRfuDgcbXLIGHZn/X85ZJwEUCI4gVaBACDocz/TECDCjUpwpYAHTxb13SE5Vj75w8MTVfm6zO26zTZljNKrdT43UX+Dz6El+YiaLvHKirn7doEXBCyG9DFBAdP2GKuchetWtX5c6dNTt2VrW0VjQ1l9Y3+Ovq3HW11qoKXcBnqCzN8zpX5mRsztesycqIHzggXIUbAKKjo61W688//zx06NC0tLRBgwaFL2PX4rtd3xIVFRUGpVKpzMvLW7ZsGcdxHMcRQkKWJulew13TwEUfY+WHgViBrAJ448Y7v9r/S7Dn4KdHT/2muT04b36Qk6cB5ALVC5AUIf1cLr8RoH/37hPl0VNZdu41vVYBvBepeBdgAsCtACP27Q0+9/ynGMtZwAJmCGBM6MQHH8i2mlIMpvW5BemWkuzico3Hq/c7jWVWS5ndXulxVJW6aiodVeVlTQ2ljfVFHnd0r56IEiA4oW8ff3VV/e5dVS3Nla3NVTtaylqb/I11FU3NJbV17ro6a3WVrqxMV1am9vlSzeYkVV66wfDkiy8BYQEBwzDwj5gok0UyjESkIcMoMJYCCBEAA+PjAThAHBAAAREAjtKrTLyqf0p/EhMBKCaRwrhHHva2jqs/ekfZ/uifk2DUvSDvB2w8cJGYkxKB+deZyNAXZr2ZYTSsy8naaijItBVpvG7RTtSX+MQ1FktluaOy0l1TU1Jb99kPPwCmvEQ24pbbb7hxhGgRjxs/uby1tby1tbK5paKpubyxSWSiq7bGXlNVWFEqMnGNKjtJlbsmK+P6u0aHrTlK6bvvvltdXZ2YmDh37ty2trYpU6bwPC+Wxgh3LyCEXHvttZTSuLi4AQMGQGefWHGfl156qb29Hbo0AgMAYOMapT12CModUmkz5RcCTAUufsnK5eZiHRD4aeXiU+eD781ZAfQmgHFIMpXHk3k8GRBDBMZo12VqtucX+B3ORmVUPwBBXFwmDG1p3f327PcRcBSkLMhFm/7JN57bbtavyyvcoDZnWd2qYne+x673O40Bt6nMa64ot1RVltTX2ktL3FUVJfW1P61ZDQQPHXEzkghAcFpuTu3OHVUtzYHmhkBzQ0lzg7ehtqyh0Vdd46ypKaqsyC8rzS8rVZf406yWFdkZ2/X6dz77TPSdRSZiBBQECgIBBsR/ewRhnwUBpQASACWGGIA4DENjYP3fuJz53XvwSKA85uSAeYpAYDvvwi71gUWRTmeZXOoF/+aNf3VcHV3G70cuBaAXK5oQsc8UJUAJcAm3T/w6XX/fx99D/5sBU0aQAaIsI5HKOEAAGBABJIbwUgxEACwFJAXgKIRqiIXPKuyrh5hI8Jwfvk03GVdlpW8p1GUUW1Q+t9rv0frcYiCOuby0qKKsuKLCWVXlr6mdO38+YDpg2HBPSVlNQ/Obs98Tc6UDLc2BlubS5ubyxqayhsZAXb2vttZVW2OpqjDVVKgDniy3PVmnWZa5bXHalrHTHoXO4mmU0urq6nfeeQcAGhoaGhsbp06dGjYPWZYVneV+/fodO3bsgw8+2LNnzzfffAOdPrI4gfjUU0+1tbWJW+RyeejTMrENQkILF9HCcfWI+RHgHk5xTV1L01vvzaQcXbNxdaHVDtADYCjGEwBGMzAB4E6EWczTmW+/dDZ4qq6+o1vCMAAlQhKGI4CgR6+ep06ff+DBR0UmMiADAkiKZn781hadekVGfpKmqCsTDSWuwlKPqbysqLLCVVleXBbw19V4qisfeupJIHjWRx/edOdIIPiN998L1NVWNjf5Gmr9jXW+xjp3XXVJbZ2nsqq4qspcUa4tDeSXlar8vlRL0arcrO16/ZcLF4pMDPvOv8VESnmRiVKEFACDYmLeffZprypph/HenYX3RYQKjfCAOHFi7yoTr47/xPh3MZFnBAmngOje3LBREHMtKHpRlgdEBYkcgAIChmVkChlhMJB/kYnfLv95m1G/Kit9s7Ego9iS63GKTNT7vYWlJebyUnN5qb283FFZ6a2qFpl47ZDrmnfuaWjZ+dSzMwDoLbeOLGluKmluKmlsFIHor6n1VFc7qquMpSWGytJsT3G6w7LZWLA4bcuPm5MeeukFAJBKpQDQp0+fs2fPTpw4EQD8fv8HH3wgQjBcSw065xA3bdp05syZvLy88HvDY/78+Xa7PVR1Lexuc9G1XHStIC9lsB3QTIBB0QkRwfO/PDr1MQqRpa7W7+aulAjxPRIHvfPJZ8BQoMDKMIAUkaj33/vm1MngD9//BMAh4MaOvg9DBIKoCWMfP3o42C1+MEAkAo4gDAyABF7/4rNNWvOqLEOSxppVnKt2qgs8eoPPrvfUGX0NxtIaU0W1q7K8pL62rKkh32aJ6tkDKFmzedPr770LBA8Yfr3Z6y5vbvTUVfsb6zz1Nc6aSl91jau8wl5ZaSov0wRKtKWBbJ9nc5FpvSo3Vaf7bulSwBToxabeIAaOI7E7hFjeBgPGGIMcIBZgZA+Y/yLszosLlivP2PB5r2JPoSIOgAUGIBagG4NDTCSAUWiGm9LO1ZLQ8S8RBaAXV2PQJd70pSsq/8wz8Pt6RV7Vn63fu2by+44vVvQS38lflOivsUAEkCoBCQCClIa8YR4wF/ItATAAAUTFr/NQ5VDRxgxNqSPoNCYuZSJDf1y9IkVfsDova6MxP91hyXIVqz2uMBNNZQFTWcBWVibWgPhw3jxxobF3v4E9EvtiVujRs/emzam+xgZvQ72vvr6kts5XXeOprHJWVFjLywwBf0GZP9tTnOmyJek1C1I3zU/Z+NArL4Zx9sQTT+zZs0epVPI8f/To0QkTJkgkkieeeOLbb78dM2ZM1+rrGo0mGAyOGjUKY9yjR48HHnigZ8+eIgRtNtvChQvDE46hdRguupZEVAryUgRFAM8zzHUJibHB4Kk7R4yKiey9q+F4alJ+4jVDTVZvSk4eYpm1SWuXrl4skcQ+N2P22TPB7Cxtx+GTcXG9iu1eY4GDY2IQRK1cts1hqwCIZJjYi0zk4K2vvtiqs67LM29QW8JM1Httek+dwVtvCFQXllcVlwWcFWVmr3vl5o1AsCwyYlP69jlfzWMFHghWmQtLG+vdtVX+xjp3XbWjusJbVe0sK7dVVIhM1ARKsrzujSbjelXuFq1WZCIrEQCAYIwR+i0mIgTXxsW9/9xz/syfj7pf/sU28IidBD3COY+8Po/EAcg5mchEioCj5CoTr+qf05/DRIwpK8iACEAlIhN5dLHbWyiLGQMiCFH0LzCRCvz8NStT9AXrtXnJBm26w5LhsKnczl8x0VpaKjLx42++wZRleQkgKsgjAVG5Imrhop899XWe+jpPbW0IiGXl9tJSc6CksCyQX+pTlbizPcWr1dk/bk1etG3LfTOeDUfY3H///bt37waA8ePHB4PBWbNmxcXFvfzyy8nJyRs2bMjJyXnhhRcAICkpqaGhwWq1pqenSySSzZs3q1Sqb775hhCSkJDQ0dER7vzVJZRH1sjG7eWi63mFDfGfAoxRJMTu2bf3+WefowAfvPHVigVbhv1l5OuvfPTF3MUAEdu3bju0/+DgwVNV+fUvv/dSRC+Fzlw4ccr06U/OnftlKhBhxNjJDXsPDrnxjkiZIK5gEAwIAebIy6+/lZarTdEYN+Tmb7NZM5zWbJ9e7TPm+wqNPqvFU2b3V5orA/qAx1JZOvnxR0PAYhjAGPM8K5M99+rMytZmd22Vs77a0VBtqigpqvDbK0psAa/Z6zV7fCa3V2WzbdUVJGvVSRrV7G++ACkPLILOuwE4FvgIgEjMxBEqSABiCPwlAlbMhqZMxQVHzGlLxAV3zDlvTEdx5AnfNcfcvfeaBkcBsMACooCZEEghkkBkqEct4jDiEAFE/jHUrup36fe+4Urb/l5s05/1KcQvRxBn9ELCiPzm9+Il/nVniirGIFYVDH8cDAxCRCzkBYAvvh+HLo0AiANgAThAYuVqDOKirLj/r7+zQ2+/CG0kHhwT5vOvv84sNK7JythsLNhuM6sdjjy7Xe225/uchhJPYanPHPAVlfqt5QFnRdnH33wFBMvjYu1+n8luf+u99wBhygspmpySplpfQ7W7tsJfV2ML+J0VFfbS0gKH015eobE7swqLktWahRs3LdqcMvGpZ8JMHDly5N69e4cMGQIAS5Ys+eqrr/r06fPFF19otdqBAwfW1tauWrVq2rRp+fn5Q4cOffbZZ7du3ZqYmHjvvfd6PJ6//OUvLMtmZ2evWLFCXHIRq3mHri+NbOW77aeRNYgzAv0bIeOAwvMvzCgLlCrlcgpRAsTfccuknIzC1avSEIpc/OOiLz/9AuMBgPuLmJEqI/r0u8nhOrw+qXj03ZPc1Y2Pz5gpRHb7daQLhoemPZGjMyVlaZLyClItRekOS47foPEX5vsKDV6LxVNm81UU+F2elvp8jyOuf1+geOToUeMmTx4/cWLvAQMA41ETJxSXBZzVFZbK0uL6KntdZVGF31but/jdJo/H5PYWujy5FsvmfO26vJwt+oJpr78MLBEn/wRCOCS2tZUSEg0QCcAM7dv3k9dnlqi21KvHX/APC/q6n7ZEnHNGnXYpD1rlR1zdD9q6V6THxVHKIQ4QxZSjGAgCBAoEis5bW7Q9f+uZvKp/Xb/3DVfa9j+Rib8l0ZsRdckRfmNQxFDEYMRcjGAV7TjKYkzFA2GCEQnRLcxE9tK4C4wpQgRhggmlLEtZFlMKGItVR4ECYhDhCGZJ55701VmzMoyGlenbkgrU26ymHKtV43SqXDat16H3u40BrzngMwd8lrISR3np376ehyhJ6NvH5vNWNzYuWrYsIlIJCM9bsqDAaS2uDBRXBhzlpUU+j6uysriszOwv0dqLNXZnptG8KiNzZXrGos0pN0yc0uWLAW3atOm7774T+08IgvDMM884nU6tVjt69Ojc3NxHHnlE3FNcUxYE4Y033mhubnY6nddff/3GjRtXr159yy23AAClVFxmCWERRzfwCTuIYhflWgDnUP4bgHFABjPS/gAKXtYNGEG0qtkICRCsEHpRiAaQA8gApMroRID4CKG/TAbR0RzD0cGD7gAYCzAWUCQnURJgCGAAAARDbxmRYzKvycpen5uXYtRnWItUbqfW59F63Dq32+h3mks9heV+a035vOVLgMFctDJHV+AqKSmprJy/ZAlgDCyzKSujrLXJVl2uD3iKqkqLKgKmMr/e7y3wugs8Ho3Tud1UmKTKS1arMi1Ft04cBwRD5xceB8ADKAG6AdwUAyvehn36bseNkqA3JuiNCnqjThUrTziUp0qif/HLOzzoeAkTdAlBG902BzLmwtZPIfVzSP8c0j+HtC9DSv8CsuZC1lxImwdp8yDjqv6tSv/qyto+78r600/4V0qdB6nzYOuXsPVL2PQlbPwCkr+E5C9gzVxY8zmsnAsrPodln8HST2DJp7DkU/h6Dnz9Mf3qYzTvI/r5R/SzD7hP3pd88r78o/eUH70b+9678e/O7j57do/Zb1/z1ts935qV+NqbA159ffDLrw966bWBM17t//wrA595ZcDTLw2e/uKAac8PfOjZfg8+PfCBZwbe//SAKU9eO2l6vwmP3Dj2gZtGTx0+6r7rR9477PYp14+YdN2N44cNu3vI0LuG9h818No7BiXeOrDnzf3ir0+MHtJD2benIjGB6RmDukVCjBzJBcSw4iLihCn3pBv0a7MzV+dlpZgN6WaTxu3Kc1o1nuICv0sf8BhKvWLZ/OKywIfzvgCKY67ptV2tMjkdL775hmiHfr/yZ6PX4a6tclSVW8sDphKvpbLcUOIz+P15dnum2ZxpNi9LSVubmb0ibXvswMFdMYcQio2Nhc7WNF3nBMU4RHG9RWwEJmKxd+/eomE4YMCA8JzjxRXnkPUW3cB1a2Ui9yiUbSyv5WU/yGQPUO46zPcVhHgAGSCGl/KUF9e2MIJIAlEYR8hk3QCkANLo6L8giCcEKAWJTACIZNnJcvkDhEYDcCzhRSZigiUx0Ruzc7bq9KsyMjcVaLeZC3OdxRqvW+N2FbhcBp/DFHAXlvtTDNpHXp5BeOamu0YVl/jdgYCvvDy/sLBHr15A8Oc/fm8p9RdVBLReh7HMZyrzG0o8BV631u3Uuly5NluKXrc+NydFr9tSkB/dNxEzFFNMKQ4zcVB8/PezZ5flbdhvefiUZ1DQFXfKLj9pk5yw8KeKlac9sb/4lEfdwmE3HPHiX8wQLGaP2aacdN9z0Dap3TKuwzr+iG3CAfs4UYdt445axx21jjtQPO5A8biOq/q36rDjyjpUfGX96Sf8Kx1wjG8vHrffPm6fbexu29hd1rE7rHe3Fo1pKLq7wXx3jXlMtWlMZeGYcv1dpYa7AvrRdv0Yu268TXe3RTvOqBlrUE3Q5U0uyL1HlT1VlfVQdtYjmemPpadP25b2eEraYymp09cnP7luw9Or1j+1Yu0TP6+e9tOKxxcsf2z+0uk/LJ/+3c9PzPtp2hcLp3+2YNonPz764XcPvff1Q2998tTrH/315fenv/jutOfefuSZtx6d/tqDj73y0P3P33vvM/eOfXL8qEfH3nL/6Osn3TpozPB+dw7tf8vw3jcMiR3aT96vJ98zllHKMcuJ7lHvfv23atTbCg0rstM36rXbTYV5juKc4iKVy5bvc+pK3LoSd6HfYw74bAH/O599wkkFIJgq5EQmFSfxBw4enFtk8NZXuWoqrWUl1vJAUanfVBbQuBx5dnthIJBSUJBpNq/anrEmI2t56jZQRHIcJ1pzonmIMQ7n54Wbl0ml0vD68q8WmsUhCEJ4lTkcmdil95myUdJjL5UGJfIgQicBWgCMlNsGsBjQDwAfA7wH8BbASwBvAHofYCaG1wAeAphCYQbACyy8CfAcAI+AQyBlIIHCbBn+BOAJgFEIuhEkAwRUwgOBz3/8UWvzrUlXJat0KTpzpsWV5/CrnX6106/1F+pKi0wVJRpP8YKN6+YuXrAqdUtJbY3V5y0OlDhKA8s2rJ+3aEGqKjff47BVl5srA4ZSr6HUm+9zqtyOPFdxpsuWai1M1mnX5+ZkmQp/WL4cWAYwQSQUOq2UyxbP5qoyEo85hp9x9w665Kcs7LliWdAZfdLR44S75y/ea054eh2zxZyxxAZt3YO27sHioRcsA4IByXkfd65Yct4RccERdcaqOOkTTvqEcy5F0KEI2hVBu+KsK+qsM/ZscdxV/Rt13n5lnbPFXlFn7d1/n/7D53/aEXXaEXWyWHnCFnHErjhoizxgjdhnjdprjd5pjWu1JDRaetSae9SYelUV9qw0JlYaB1foh5Tq/1KSP9Srud6pvtGed5NFdYcxZ6Qu+25t1vjcjClZ2ydnpN6zPeW+bVvv3ZQ2JTll0obNE9dtnLwiadLStZMWrZmycNW9P6yc+u3S+79Yct9nC6f+beHUD3+8/91v73l73r2vffngK589+Pyce5/+8J4n3ps0bfbkh96ccP+rEye/PH7CjPF3PX33HdPH3PLoncOn3j5o8g3Xjh2ecOt1sTcNVgzty/XvwfSMIVFyzPNACGBMBGHh2rUal2NFdvp6bV6axbTNas62m0VTMd/nLPA6dT6XiMWvl/7U94ZhCf2vTRwyuO/QIddeN3T6jOezdQX2ilJndYXB69J7nMYyn6HUm1/qy/U4Mh22/FJ/ilGfnJeXlJu7Lb/gvXnfALkkb080DLumOXft6RjOXxYE4e/0d2RZVoSsmPAHAACKOkViO6cIcpJzghCUSttZ1oqZ1Li4rSy3mOe/lEo/Z5h3ZbLZERFzCP1IofiAY2bJ5c9w3IMKyRuxsR8ppR9FRr4NwAl8hFQSiyA2OmKuBD6OiJgpkUwKM5GRCkDgnmnTMnTWzWrjhtz8zVpjmtGWaXHl2j0qh0/jM2r9hRpPsYg5Z02lrTxg8XqKPG6b32dyOf011e6qCrPXrfO5rFVlIhML/C6NpzjXac8utqZaC5MN2vVaVbJalW02PfHSS0DEaePQjIxSLvv6ZdhbOPy075bjtu5BT8QZG3/eIQ+6Y0/YE467ehx39+wo7nbcHht0dA86el2wJhzW9DypTzzlIqdd5KxdOFesCDqjz9kjrzLxj9FvMfG39D+Wib/YI7sycZ8tZpctfoe1e5O1Z72lV635mmpTr2pTn9KC/gHtQJ92gEc1yJU31JYzzJI9vDD7loKMWzXpo/K2j8lMm7A9ZXza5olbN07aunHShi0T1m8evzZ53OoNE5auG79k9YQFqybNXzFl/uoHvl/+4Lyl989d/MAnPz34twUPfvDD1He/uf+Nrx5+de7DMz6579m/3ffUB1Omv3vPI7MmPfj65CmvTAi/pFHAAAAgAElEQVQzccQjI4fde+uAidf3GTNMZKJ8SB+2X3faIxorZYgTk3UxYPzkzJmZRabVeVlr1TlbTYbNRl2mtVA0FTWe4nyPo8DrNHhdhX6PrTygsVtcleUWv9fm99n8PnuJv8jjtpaVFAV8OrfD6HMby3z5PqfK58rzOvO8rhSzMd1iXrp162aNJkNvuGXCZCBc2AsGgLDzG05uEZnIMAzDMKIlGDYDwx1xxXdhjMUusmLwtvirzpzo6BJZYr0s/jyjOC+JDkqig0h+EOgeYPYD7AS0i6H7AGoxVDG4FiAA4ASwAugJawUoANDLFJUAeiDfATwIMJhyNwNMQ+hrIHlA8gCmA/QBJIgpSHE9o378KTm7wJmUbUxSmZJ02q1mY7rDkucqVntMao+pwOfRuJ3GgN9Q4jOV+AtczqKSEmtpaVFJidnv17ldBS6nMeA3Bvxaj0vrcak9TtFC3F5ctNGkW63NXavN3VqgXbVlU+9+/Qmi4RgXQIAp4gESefjgleEVphk7PZPavQNOV/Y6ZBTOFEUEi2Mu2OPOWWPOOGJOumI6iiMOWmVn7LHB8iEdnv7HvNcfct3UXjy8w3nTQfvwfa7h+1zD253DDxUPP2K/4Yj9hjbnTW3Omw44h17Vv1GHi6+sDsd1V9QBx7Bf6wqH/UsX/WfP/5D9+oO2Ye3W69osQ/dYh+wuum6X5boWy/DGouvrLTfWFI2oNt1abrqtrHBkwHhHwDjKZbjDpR9drB9pKxhlyb/TqB2l14zO196tVo3JUY3LzB23LXdCSva4LZkTktPHJadPXLtp2prkJ1ZteGzFuseXrnl8ycrpi1Y+sXD5U98umf71oifnLpj+2Q9PfvLDEx9/+9SHX01//4sn3vj48Vc/mP7Suw/PmPXIs2899NfXHpr+8tTHZtz/6AsPPvjMA5OfmDLukcmjpo69ZcLoYXfdOviOG+NHDIkaPkAxKFGS2I2Pj6IRUkLZcCRQj/4Dlm3atFGjWqfJ3VCgSdJpM4pM2TZLnsOudjk0bqfG7SzwuvV+r7W8TOsoLnA4xIhFg9td6PUa3G7xuTaV+I2lJbqAL8/vyvQUp7tsGW77Op16sy5/dXp6qkb747IVQnQsoBDgwmnL4coOl5d+gE7/OvwrnucxxmIJCeiSBy1mOl/sJcsmVAo9axQJQS4yyCjOUPlpEnFYGnGElx8RhAMc384y+1m2WcI3saSO0gqOK5HLAwA6wloVCodS6VVG10VF+Qj7Y1TUDEG4EWAIy/6V5+cTViPIDILwPMbXMqwCMBCWAIGXXp+To3MlZRvX5xrXaVUbDQXb7OZcp13lLlS5C9UuR0aRyVxemmOzFPp9Bq/H6PEUer0mn6/Q6zUHSgr9Pp3Pk+9x5XvdGrczz1Wc47BlOK3b7OYNBu0KVdZabW6qvmD2p3MAYYoZBJhjWQQg1tnmAeIBlBgGKOG7t6GlqMcBZ2Qw0POsJTLojAsWx5+3xZ51xv7ijD7qVJ4u6XbaFtNh66n5CfLmQ+4CUC2Cgp8g9wfIWgxZiyF3EagXQP58yJ8POYsgZxFollzVv1MFi68s3U9XluZy/annr10ImgWgXgCq+ZC9ALJ+hMz5sG0+bP0BNv8IyT9A8vdo3fd47XfM6m/p6m+5n7+hP3/NL/6aWfQVv2Ae992X/LdfSuZ9KZv7ufSTzxUffxbx/qeR78xRvP23yDc/injjQ+Urb/V5+Y1+L73e54VXr33ulWuffan/X18a8NQLg558acj0Gdc9+vzQh58Z9tCzwx746/CpTw67Z9qwCY8MH/vADaPvGzJy8tDbJv3llvFDbhwz8Po7Bw0dOWjwrYOuvblf7+H9e13XN2FQn+h+PSN6d+P69yB94nHPaBQXgSKlSMbjUBdTjDEFQud8//2WAu16bd6qvOwknTbdXJhlLRKZKGKxwOvW+Twqm9VaXlbo9RZ6vRqbTYSjwe3Wu1wGt1vvcatdjjxXca7PmeG2p9hMyYUFm8z6FRnbU3W6NG3+Uy+9InZYChON5/kw0bpagqJhyPO8uF3EHELo8t7ZYVc6/KuQwYhiyiW9GiQJR9mYI1zcCTb2OI7eS2L2IWU7VhxCsiNE0oElexlhFyNpZiTNIGsEWStI2oDfB3wdSBsh6iiXcBpIOVAVsDMBngV4heE+E9hGhXQHItkAbwLcCpihLCACkUrZ8pWbN+eakjRFP+duW1+Yk1Ks3WTMzjFZVBa72uNSe1wat0vrcRd4PDqv1+jzhaXzegs8Hq3HrXG71B6Xyu3McdgzrEVbzPo0m2mVKmtFbkaGxbg5O5NKeJYyDMKXxAOhcAoUA5gCgW6x8M6r/UoLp7c67urw9Dvjjz3riT7pkJ90yE96Yk76+hzzD6zQD1GIefU4FN2NEADwABzmAMKXWozO/t0xuldFASglPMEcAEXAAFDxNUasQKUEGAosAYbDQvg1AxwBRpS4Rdx4pbv+74fJ/Gc/1xUicn4ddi1mDTCiWMBhiYe4rHrTpbE7DCUMDbuEUqlUPGhniGL4NDqDdRBwHAAChr14EJbDgAHTUCgTwhSJlQsAh9IOOs/gYmwTInJ5BCDaq//AlVu3bjPqV+ZmrVblbM7XbjcVZlkteY7ifK9H5XRk26xqlzPf7c53h55o8SkWt2iczgKPR+1y5thtmU57ttuRVly0yaxfqc5OLTIuTd2aWWhcvHoNI5EDEu+K//xAMeXSaxr/FSZye4GvA0kDRHbQuF8YvoZwWkb6Js+/QunrgP9GUY1c0spLtHL5x4IwBtNQVDMguHP0PVlGd7LWkmzO/3H7+uXqrSp/UabBlF/synHYc53FKqdD7XJqnE6ty1XQRRqnU+N0qpyOPEdxjsOeXWzLLralGPUpFuOibVsWpG5SlbhXpKfcPfVexDEMoZczUSyyjSjLCVJEEUsgkoPBcbDofSjLYC+UJZxyRnaY2fO+6POl3dvMMYfd13py+yoAKEJi5TaMEc9zABzDyEKBrggpFIrQLf5nw+W/XSINWUYS+hEYlvBhDjKY44jA4BAQOSpQxBJgGMwJrJi9dvkt/r+ZiaLE1dXOuTapyESW5QEowwiEiJdUQEAJwWLcI8OCGLp4pctCEKYYU0KY32KieOoMKwCm4x9+OFVfsN1uWZKetjY7K0Wv21ZoTDMaMorMmZaibJtV63FrXS6tyyViUQSiuMVcVpZtsYj7ZDrtqRbTRpNulSYnyZi/KHXzdpMx3aAfeMONgBlA9I/qUaVskXTfL4k/zUaf4mPPcDGnifIQjTpMIttxRBuRHcbSQ1g4iIWDVGinQjtIG0HWBMIO4FqArQC+CuQ7aNReIWYfFpqAqgGnAqwHWMeBWsn6Cd8CUAN4LsBYAExo6FZ46sVX0/TGZIN2RW7GZpNmbd72rSrjtvyiDGtRlt2aXWwTySjiL6wwDbPs1nSLeXuRKUmt2ajNX5WVkarTbdLkJmdnfDxvLiDAGDMoVK2t837C0FnbNVT7ixWAlwJLxADWxG4w65kb/XkzTlc9c8zxl2NWCJaR8wGmUQNxAHKxIThWsAAcAIUoGe6OCGY4FoATexJGRCgvJuNf1e+UwCIxvp5AKKNcNBrFssQSJsQI8UfRKOfJxRccFgkiGo9iYRixGMef+aFCGXLAhe4aoJcSUdwigocD4C4tJfdPhHmLhxGBRS5uD/0fASHAUSAAFEDKAQCwLBsRESE+/oQQjuPEpVtKadeyg6GFB9EahYt5geJVFcPCGVYCQAWF8uW3Z+dZrclq1drc7HV5OevycjYVaMUHOdNmyXM5cp3FeS6Hyu0MS9y4zWTOdTg1XneuszjNYtps1CXrtMlqlVhHVmU1P/zXpwBjCGfm/GFMFOJOMVEnuZjTbPSprkzE0kNIchDxBxB/gPBthG8DaSNIG4FvBbYZmHJgK0BoAlmrsmeHRLmHlegpm84wmxhmIwdqCThY6U6GaaTsV5ROFJONEEGAAXj5K3+bk+mybdCpl+ekbtLlbsrRZRrsaSbj9iJThrUou9iWW2zPcxTnFttFiVjMsdsybZbtRabUQsNWg26r3rA+T7UyM319drbaaXv/qy+wlKcMBfHREnOMEcIodPsIDCflBIaRAeKAcsDwRGCJQIAAj0AJcHMCfD0DGnNigpVRZ3xwwgk79EwcAAsUQIpIRGfGaBSFKEDASwQAThnZDYCBP/sJ/K8Wgy++7swoBw5jhcCH7S4Zz4sQ5DDuao+JQKQAFLEUsWJ2B0WEIkIRogj9WR/qj2Eix3OKCAUgQBhxPIdCtiAoFHJKEQGQcKGcaEppOHilawkZ6PKrS6JVfpuJoh2KEAOIRiR0f+fLL/McxevyckQsbjXoMm2W1ELDFn1Bps2SZbeKiMxx2EUPT9yyzWTOc7pSCw3JWnWaxZSs0/6cnrYuJzvVoMs2m1796H0gmJdIwpOYfwQTQVkp9GgW4vczUQeEqGO88igjP8AqDrLSdlbazvAHKXeAsO2EbcdsO2bbgW3BbC1iKzAuI6gUQ4ASH0P9ksgaWWyDENNGFLsQ30BIJYM0CHIpv0eiOMBypQBrAWYA3ARIApQBAjKlfOY772UajKn52jVZGWuy1etytcla9aYC7VaDLrXQsL3IlG4xb7Oat9uKRKVbzNvMhSlG/WZdvpjRvCQlNa3QtEmtztYZPvvqq+7denS9I1Eoz13Mx8NInB+hod9hcnFP8buUBeABpAB9ImH2s/faty+pNE1odEyVM4AwiHUcGIYgBEA4KsifmvFkod3YsqM5OyfvtjFjgZf8U/fxVV0mTuAZjhXTchmOFTdiSsKAEOQKXiYXX/MyORCKWY7yQmgHQgFhViLFEIchDkMshliMojGKxkiJkTLUVwekANJLOPWf/mih0sJ/F5xdIfn3j3bZIFRgOdnadRutNlexw2uzu5OTtkgEhURQIGAQYAkvFROjeVZAcBG4Tz8/o9BirWtqLrRYR909VrzmhKGAgLKMmAuIKQEEqEvlCArQmRNNAOHObEIKQGO79fr462+3F5nSTMY1OVk/pWxZlZWxqUC7RV+w1aBLMxm3mQvTLKawUosKU8zG7XbbFlNhkq5gc4EuSaNalpKyctu2TIMxo6Bg1od/EyIixGVuMXqEY/4Q3xkiK7iERi52L4ls4yKPsBEdVNbOyA8wkjYq7CdsO2baEN2P6H6g+xHTBrQJaDXQMoRKMQQQlCBwY+QBsHOR1dHXHI++5rg8Zp9E0sCRfIAsgFpB3q6MauC4TXL5LJa9HWEpIIwZDBhAInt+1tspWs1WXX6q0bJsW9ba3Oy1udnrVbkb1HnJWvXGfM1Gff4mQ8FGff5Gff7GfE2yVr1BnbdelSt+I23R6ddk5+RYra+//6EkMpIgejkTw0BEgHGni0UoCTORwSH7TsowCpaVAigAIgD6cPDtbNi8MCZayjIsJZQDRAlBAACEe/HVN4+fPear8K5cvaK5ZcfpYPDmO0f/6XD53yGE0Z2j7pz39Vfx3RIAYUEiFR9FqUweF98t/GBLFBHiC8ywoRf/x5jIsFIAprqm8UIwuGz5mqTkrT/+sIihAgLm+edeilJGI8ASQRq+/xmWA4Rffe31Q0ePWR3OtUnJNQ2N54LBe+67FxCIKCQMFV+E/nslJmLKUIbtykQARoiJe/2Lz1dmpmfZrRvzNSsz09fmZidpVEka1aYC7WZd/iZDQVgb9fnJOu36fO2KnOyNBv3mAt3KzPQ0vV7tcCRnZT/1yitchBIw5nhJmIkMoX8IE+W1NG4HE7uXKPawinZBdpjh2wWug2MOsfQgQ9oI3oVoM9Bq4EuALwHGDYwbGCvGFhaKebDzoOdAB6AGiQ1375D2CUp7B5m4M0ioAbACFABbpFSeF5ijPOMn+AcgowAUBEAmUI7hETDj739wdXr6Sm3uVrt5g0q9Pk+1Ji9vdW7u6tzcNXl5a1Wq9RrNOrV6rUq1Ji9P1Dq1Olmj3ajN36Iz/rQ17a577gPEEsAcENFLYUOeS3iIZbQpCwwLDAsgEPECYwABkcjQM4MoYAACiAWx6iIP0CtK0VlkhEMgZbGSgAIw3rl//9Gjx+Oj4jjAD0988OQvQbXK9mfD5L9bFIearPMs9/677x0/eqxHz94AFBMOgL7w4kx/SXlNbePmLWmxcd1DjyJiAKg4sQVACUgJSDs7THAEOIIoQX9QrYfL9ffnNDt3u1if4koLNX+vVph4hNaWpkMH2ykmTOeEPUOFE8dPHzt++qclK0aMGAXAAQgYywBRRVRseUXN8ROnhwwdDkDHT5hy4pczuTkajpUCMJQIl1S6QwDokrMNN9VgIyMQUAELLLASIlFIowAYUERMePKpxVu2ZlisKQbjyozMpenp6zWatSrVWpVqnVq9XqNZp9Ws1ajXqFVr1Kq1+QU/Z2Uvy8pck52zSZu/XWf8dsnSSQ88zEoVAJTlBARY4HgEwBCK/hAiAshqSGwrjdmD5bsZeRsvPUS5Np49zNKDDDlA8X6MdgJpAlIFnB84P1AXUBeQojATOdCxUCCVmoEWgqSFJJyM7B9UJAa5iCaGcUZEOAF0SuV5pfyMTChD8B1m7uK4WJ5hRP+VoQIQBsfETHv/7ZXa3BSDcYtOv0GrDRNQvJRhJq5VqTZotZv0+rRCU3qRZeancyWJfYEwhAoMpiITeYR+i4lSRsJjLryihxABEABkCMlFJiKCQl/dCDDGYkE6iUxCGIKAY5lIDHIEsiHXXXc2GKyqqiGAOcAJ8vgL54PtbWf+dKz8l4plGPEFx7LRUVEJ8d0+++TTs6fP3Dzi9h49EmVy5YgRt7cf6NAbzB/P+fzEL2fenv1+RER0GJeiMA71U0TAIeDE6pb/fG3K/4T+00wUr1tzU8O5s6eX/bx0wY/zhw+/EWOKgBlx8+3LV6w9ey54+PBJh8P//POvISQFRHv16XfufLCqul78Oknofs3JU+dOnzrPMhIARiJEiDRkGAnGITv6ikwEgllGELBAgXLAIWCk0khgOWA5ed9rn3n3vS06fU6xIyk/f61KtSonZ1VOjmjorMrLXZWXuzI3Z2Vuziq1ZoPekKzXpRdZNmq00195jY+OFVeZGUYAwCzDIQBKCEEY/UFMlFcyUXVcVBuVH0X8cYY/QfnDhO5DpJWhTSzTSGkNhgACJwYrpYXAG4HVAMpEsI2F7TxKo3Ql0OXAqoC6QH6CSwhKrj0aOfiUvM8ZUOwDphWgHki9TLk/IqaN8E2AioBdC/A0wI0cKDigomVHMM8qlE+/+uoPy5dn6AuzjOat6vy0fH16oWW7sSjDZE1V67fk6nL1tnyzZ11yxrQnX0jo3lMs6IoJIAydnlF49loKEAUQ/asb8KJ+5bAAvTgXHv7tZUPcd9Sdd5w9c8pYoGMQljACARw8Hzx17HSPnvHQpbwdy4at/cvn1EX9Xxv/oEhqj57XnDx15tz54IVg8PSZc6fPXzh17vzCJT9/OOeTc8Hg9qzsJctXHD912mS1MYIEEA6VaUEYKAP40gKWl41LGXRZT4h/Ylxc/wj9K5NL6hVe+mcunsOvt+AuN5vI9N885384KKV1dXXBYHDv3r0nT5585JFHxMQ1MbY5MjJy1qxZZWVlwWBw165dADBu3LhgMOj1egGA47hu3bqdPHkyGAx2DYFmWfaStk2/ZxBCRKe7Z+/Ep59/bnXSerXZkKnTbNOrU/XqVL16q1GdatKmmfO3FRUUFhaq1eolS5Y88sgj8fHx4U/0r/3pf9OQVVBlLavcT2RHEH+ccscJdwiTvYBbKGlkaAMh1RgCAA4EFkKMwBmAUQNkAKQxsI2FFIyXA12OODUnDXAx54QeQTbxkLTfsYhrz0kTjhF+FyFNgOsExZ6ImDZBsYvjnUTYEBn5piCMFHBkmIkADLACUAoyWY/BQ0dOue/pN2Z98uPCH9YmLdiw6bPFS+d8t/DF2X8bM+Xhbr2HIEYJIIjJKeF2eCITESKda5L/QSb2TuwVDJ7fu3MXASCAhw257vzZ8/VVDQgDZahEIlAaslM7S/heZaI4roxCSlmG4RAigkT2xZdfzfnkM3NR0YVgcNW69R/O+eThaY/P+XzuuWCwpqHRbLNX1dUnbd4ClAkxMQyqP4SJlx78Vx/kkj/zBzBRDNVuamo6depUOIktnAgMAL17954zZ87evXtPnTpVVVUVGRkpkUjOnTtXW1sr7hAbG3vhwoX9+/d3bQb//zsu2slYFhWp7Nlt8qMPPvn6S+9/9+X8DasWp2z4ctVPr3/58VPvvHbHHXf06dMnXPvrV33r/6Qh8dPICjaylch2A7+XcvsI30JoHSKlDPUz1EuIFWMDoDyEt2GyHbNZgLcDrMOwnMBPBH4CWAo4CYQipGzhel0QEoO452G297GIgeej+p/HUa0g1AKtREKdRHlMEXuSRnYAt5cqygCnAcwFeBrBrQCxIiI49mIgAOoSUIo6o1fFusDhULXOW5xDoEAQRSCeQk8GeiFQIOA6nxUGQ8g163JrdvomV/R5LpILQ5fVunAXc0GhdPoCR0+e7Tf4OsDMi2/MOnEuuDEtCwAzTGe0PQJCgRe6VDq9fB79/9z4u54gywNgqVSOEJk798tgMNizV6JUpgDAT/31mQvB4OKffuZ4Se8+1w7+y1AAzAtSlhPE4ILOPNyL47dd2n+diZ1rNeFVmitaNF2///4OK6+0z+8flNLW1taOjg6RiWI1QELItGnTtmzZ8ssvv/zyyy9qtXrKlCniDoIgBAKB48ePjxgxglL69NNPnzp1at26df+yYXjJyQAiABQTng3VawAEF6O8fxU/xZOuecoijrtW/fqTBu/FijKqaEaSncDuxswexDYhXAM4QLAXIxdCRQA6gFyAVIBUxGQCpAGsAViKYBHAQoAlgJOIzMbE7hISg/w1F8JMjBsclPZo45WtQCuBVDCyQ8puZ+QJp4XIDklMjSDNlUp/lEhe4dhRGMd3mdIFAKCUhpnIC3x4eQ5joJSEL2yYiRhFEBzD4AQWX8PhRIwiMOLDTAxXVP53MREQffCx6e0dx1v3tDndvo5TZxt37e2W2B9jCoAJIYIQ6mVBaJfDXmXiP/KdxQvI85JPP/388OHDCd17inlmffr2s9ntHUeO7dy15/SZc4t/+jkurpv4FqlULsavUXqJlfGfYCLGCoTkCEn+hzBRNKxE17i1tfXChQuHDx9WKpWRkZFtbW07duyYP39+79694dI6WuPGjWtraztx4oRGozl8+HBHR4dYcborFv81B1bCcqJLRkKVwgFCC9kIU0w4QnlKOIIY9Cs36d9jn/57Bg0QSRUjacZcM9AGQhoxrcTIg5CVIAMCFUA6RikIbQBYCrCU0uUAPwF8CuhDwLMB3gJYBigPSZvYuMPMNSeZa04yiaf4vmelA09GDDwd0e+00L0D+AaACuD3KOLOy3oFaUIQ4oIQdQHkB7DgAbQI4DFAHAJOAgILDAWGBY4nAouJOHEjkYh9WcKBDQwBhQT1BogHuBbBzQRup3AbC6M5mMLDPRSGEujFAKVAKPQk0IOCjHZaiyjUXorrosun4Sm6mAtxsTepeAcLEhkAHjdp8k/LlmsMhkPHj7fs2fXEs0/fNXq8CNOu63cE85f0q/r/swv+q8dvcUpcVUQAAseLq88YULe4eLG0ifisJiYmzpw58/PPP3/88cfFJ/zyaii/vY7x7/kaIhBHII5ALIZIDAoEEgQsuhip0lWXzY1cgYmXEfP3D0rpxx9/vGzZsgULFsyfP3/x4sU8z7Ms+9hjj4V7GUMX6Ig/jhw5csmSJampqYsXL+7bt2/4UKEz6yy18HsH0+nRUUBiIhlB+NcxNCH7AOHO+aXQZoQYhvmzJxMBAPsRX0H4RmAaAdchVA+4HMAFYAEoAMgF2Pb/2jvvOLnKco//nudtp03vZXe212yyNZvsbjabTUJCE7wIAVGQIkpHEC+iIFhAFJSiIChYEMGCDcUu4lW5losVVBAEFNJ7dtNz7h9ndjMJQeHeIEH293k+fOYz2d0ZZs75vu/7VOAO4FbgBuA65o8AHwLeAfpP0HnA2UQ3CnmvijxlMuu4sIkLm6y67V6T7zSNu/VjiZad4dKYifxNiD9CPKnDY3Z+h13tq4JvF3wvtyWc+qPj3qzUa4ktJsuCCZgooQSkDCYzV5hgOMbY2pUUEcgpVVSqRavZRs6x5JDFIzYfatOhijokVQdMFCgETFSk9xcT99g/aj04b97d93xtq7/zHRdflkzmJjnoOJF9zPCbYuK+rHICSZAFOomI4DaerDxj5sn+yZX7C8uy/mVMFBQTFBHsCbYEWy8hEycbprquW1mIsleZCgDLsip3gkEX1b1ceEKIya5Z/4e922RGR4DFisraClV8DsEbqHwPe/V8fUn0S1a/Ufp3LH7N9EumB4jvA75JdDfjs8DHGNcKuorpcuBi4ELNFwPnAa8V8gTI4yGOBT4B+VsTHbPzO7lqHRXXmnrfbfbtljGndTzU7IfqfTs3RvYy0JNQT6vUGrtuCzfuRJ3PJV8XfCv2iBC3E84DDgJagEagDqgBqoFqUAIqA6TAJXAT0ApMAwYknxJ23wq8GTiLcDbhbMJZEmcJnC7xZmAu0ARpQBNVUwIsIGhP233zBBWye99RGntMgKy0sGVZLCVgqHyWL6RS2VysfGQWBKAiIjlx9Vceol95YPwHmcuOVo5WmnfX4amJu0MpIWX5wwoC+gCk5MknjVG2bbD7e9xd7/z/8x4+W4bgETxGSFBEUERyVHK0Iid8zxq+fSDhecRknrcmW11NDhWZ7Bpd+WOu6+61/5pEz2Qf1uAXAyBOjsd7we/nnxmDxMSwQNrzJZjZGHMA7BPxi4CJxA8SfsH0AOiHwDeI7ibcDtxE+DDj/RNMfKvmi4FzgeOEPIHU6yCOJbqV9e/t+Gavylc1G6m4Vtftcpp2Oa3j4Y5tbuPOcIMfKZERsrQAACAASURBVG23omtBTwJ/RWSZqRnnxp0o7UBxhy744cwTodDdjv12rQ/zvF6l2pgbjGm2rCal6lmkIFLMGW01GrvDmE6tu113oRKnSjpDyrOEOFeK86Q4T/A5is4OmEg0QtT84jHR0VoCCmRJWfkMCNpobfTEEhuEXKaYWNZzAfHZJclBcRH2PNAZY4RgAFrrAIha64lOeVBK/QuYOJHy5RJCjHCAxZeKiQCEEMHub6/ddPnFJiY0Bar8SUwAMfiVgJIBGf/PMWglpWAWzMGDvXb9/2DPXjlN9P/A4v0pwfcJvk+I77D4JvOXBe4AbmPcKMWHFb+HxdsZZxJOBo4DjgKOYLxa4ghgCBgAHQo6DXSPE10Rzvo668uadXbjmN3om3rfahr32rZZLZut5u3huu1edos0K4AnoB7Rsafdho1ey7iq8UW1H67aYUceY3yecBPwYeBK4L3AewlXEa4C3gVcArwfuB64GbgRuAn0CcYvCb8Q/CvCL4DPAXdK+XXgi8DNjA8BFwInAa8B5gItQAkoAAWgFqgF0kB4InpoAzbYAquKMy6Xn5cSUkIoCAU2YAMOZoEHWRS74zDldY8twVYw8ZlJT6QNq4rzlD1xXwV30StRk5uUoO9x8Hiy73GwxymjcA+m7bY9chIqH0NXmKr4/Pf7EhT8weACsAlOhT371SvX04rPoSLV8d9E/xR+e/7ggSjCDwg/IPoW6B7gS4TbgVsJHwXeD1wCXEg4g3Ay8/FSLpHyKEH/IfAqojnMQ6BDWbxZ6W+HEqu99M6AiU7TuNPkWw2+1TTutm7VTWO6cWu4bnu0uMMNr9f6GahH4P5VVq0y9et1ra9r/XDVDi/+hKW/wvQxKW+Q8oNCXMl8RcBEosuY32VZ19r2x237M5Z1mzG3Get2S//WMr8Nqq2J7gTuFOJrQnxZ608qcZ0QF0n5RiGWSDlfymlKNShVo1SNlI1CNAiRkzIuhCeEx+wyuyADknuUoMIGbNaatSapSWoSFgmLhEPkTDKRSAdZu0wkmPflPdzLx/RKZ2JlZ2MhxOQmZXKnEPSIx0T27z4NBMu2bMdWupysoI0GYWI1Kq9Jk/ZSMXGvC4BITZ5MAYCmmHjgifFVxlcF7mC6leijjKsJVzIuBS4ATgdOFHiNoEMEHyR4gaZ5RvQJdBF3QncBS0DXaOfRUGbMSm9X2e2qZqPbtDXU5LsNvtO4xWveJut2yLodTsPOaN2ucH6b7a0V/BTwFxN62k2vClX7kRo/VPDd9C4Vehz4gaTPCf44ixtA1wE3AjcC1xA+JPFJS96u5e2E2yDfLawrpL5Liu8I/VNlPSCcT8PcJq2vW9Y3jLnH0fdofNvC9wy+b+G7Gh/T+JjBXQZ3ATcAVwHvAy4HLgEuBi4CLgDOAN4MnAqcDJwHvJdxs8FXgW8C3wS+Dnwd+DLwBeBzwCeBa4GrgMsnRhueBZwBnKLxeoWjFY6QWCDRL9AiUBQU3iMPfNIO0IvixRQzpITWwQacjIHWkzOPTCgEKdmyoDWYyRgYvW+zLWgFwZCiHJYrB+dCUCEoF8qFsqFsUhYpa4/uW/9/Peue313TAk2wCB4hROUx6Lt7TxA0sxSC9vxdIiiCRXhp8/L2h/6pQ3E/BrxeJBG+QvgK47OETwAfIXwQeB/hEiHexnwmcCLjKGARMArMBQYV9QAdwHToLuAYIa91I0+EMmM6uVXndpi6Ma95W7jZ9xp9p3GL3bA5YKJdvyNW7ydr/Fhys9HPAI9A/oVDf3OLO6O1fqjgh3O+l3xayvsZnw2YSHw90U2TTARuEbiNcBtwM/AO4FLgU8DXge8BPwTfDNwAfBb4AvBF4C6Fbxl8V+N7Fr5r6GZDN1v0eYs+77q3ue5HXPda173add/vuu9z3fd43ruUOlfrc4w507bPdJyLPe/aROwLheRPcrkHs9n/yeV+mc3+Ipv9WSZzfybzg0zm3qqqu4vFOwqFT2Sz12cyH0ylLk8mL00k3hZ13hRxTgxZS1xzqCUHtWiXVDXFxN1iZq2FbQtjhDHCtoVtC60txwlqIVlraC1s2/E8tizh2Ps0FQ6ZkGe5jnEdti3Sim3LCnnCigorKqywsMLC8oTlScuVlvtiMzH4f5vYOe4+BwgRESLCHGIOshrVHm7lKSYegBK4SeAmyVcJcQnLCwWdRXizwBuYXyfpSKb5Av2EaUAT0ADUSM4CCaAKagZwIcQ33ci4ldoq0xtUcdyu2xpq2hlu8sNNvle/3a7ZYpd8q9pXDdtN006veadX2mIiqyCeBB4m+aibXBstbvPyfrjoO5mtME8B9wKfBt8g6AZB1wtcy3gX4VKB6yy+0RI3MK4CnwD5BsIHmD4IXA75dsgzgKOBYagRmGGIQYiFoAUQPRANMA6MA52GykHnofMwCZgETAamAFUHVQddC6sedgOsZshBqY4OOxelox9wUx9yktfYyQ/YyQ/YiSvc2OV27J1e7EIderPx3qDco4V7GFujsGZD90F1OLLNlnVGFBVnGKFy1eK+759XZG2fVHBchCMIheF6CIXLD7SxM1kRi6tEEuEIpIKx4HoIh/dtSsHzEInAtuE4IpHgeByeh1ASoSRCcYTiCEXJi5IXFm4YQc/1/bAO/YMz+B6n6Ym9oWGyBYUlxQUShBgQnvBl7+HlnKibfpnr34CJQSY24Qqid4AvIJwBnEY4AVgCHAaMEPqANqARaCCqZaSBBFAAT1PqYm1/z42Mq/i4zm4y1Vvchu1e445Q465Q4y63bpupHrdLvl3yVcN23bjDbdoRqdseTm+03OVEfwT9iZyn7dRGL++HCrvs9BYTXi7Ed4g+A7qecb2g6xVfz3gX8E7GtRbfaMuPMK4CvR58QsBEpa4gdbEwZ2t9vBDzIOeWmYgRYC4wHaguD7tAFEhAZCAykFHIKFQKMgsugUtAAVQEFYFqoBtYDJxGuBA4H3gLcC5wDnAmcBpwMvBa4BjgCGAhMAzMBGYA04BGQi0hD6SA+EQUcoqJFZKKvZCIxUU0JsIRjkSDB0405ubyASVNKh1PZ6xI1MtkRSy2T4umUjIalYmEFYuJUAiuC89zMxkRDSwloikRTchIQkZiOhx7CZkYpO8IxBSnpEgKEWOOEjm0t5eTp5h4YIjOAp0F8TrII6EOgpgDHgJ6gBmgBogcOAwhIWQQ72NhmMNAApgO9RHHe9QK7RDRHaa41qvdFKr3vTrfq/ND9b5Xs90Uxp2iHyr5onmMmzaJpm2qxXerfS++jeRfgd+Dfy2ij7rFNU5+k0xvUpkxSz8s+T7gM8D1oOskX0nifMK5hPcYXK35GuBK4DjgtcAHgWsEziScLPFGiZOBWqAENABtArMY/UJEiHW5Sw0Uw5pYpStlB44eIrHnqdYDvN1JqMGTJJ8VRZn4fmnv/NTJpil7900p//MBe028mNIWwlFOpimRQiyBeJISKcSTnExDmUhtfaKxGcqoTA6xBNwQkql9WzyBWJzTGcQTSKZ0voBkCokkkjkkc0gElhHxjEgkdCwBsb+YOCm5Zx8He2LrV5mZP/ktS0JEIC9Rp9Fi0CpQYmQIofK6+O+Sm/UC0HcAX/+nA6cDx4EOB88HBoDZQBdRJ3EjRA4UKvdiIoAgpCVlFEgQzVDOzZHYE3Z4p4jusKvXh+vHww2+W7vLrd3l1e3yarbr/JiV3xkq+ap1s2geC5gYqvGj6V3SPAX8Hvg5nIfc4ho7t5ES6+3C1ljkr7b5CdHtwHXAtZKvZHkB4Vym91p0jSU/TPR+5uOZX8d8jRDXKj4bOEnRabZ6k5SNRDVEjUJ0MPoJM5nDk3OyCZJg9snE3Y6eZzOxohMyMREHgeZJU3huJj7LfTjFREBbFImJVIaTaYonKZEK+Gjli41t077/4G++/YtfVdU1IBSRqYyTylAqvU+T6YydLyCRRDyx8LjXXv2pT7/+LedTMkWpPKXylAwsKxNZmUyaePKlYqKQggUHOf5AhlGj0GzQKqlGUHaKiQeiBA6WOETTAkVDkmYydRDqgFzF0U9WJoZJghYAGoEzoR8RidWUWiezG5369V7jxmCT6DaOW3Ubdd43Gd8t+G7Bt0q+rvNVw1bVsNWq3Raq2hpOrNfySeCHwP126DfR7GNWcpeMbjPxzewshfoWcBPwVgvnhHCGh9MlTlV8prQ+CXwUZiHcg4GLbXG5EecDS4BZRgwrCna4KXAOVEuqDbIVqA+gJthhsvesu/oHlXb87GyyKe0P2XYyz5k8cjlUFVDIoVBEOusVai695vrlW3Z+9b6fzH7Vq5FII56SuSKqi1SqQihiZ/J2MuukcgOvOuKjd9999efuQC5r5YtOtvCV7/5w7bZdC1+zRGSyqCoinxOlOuSrkEyjqoSaEpIxMNNEntW/lj5mb/8JAChLpTUXJKoYhQlPSxgwFUsyVwB3Ig/85XH2fJmLsZixWGJUYlCgjzANqP3HTFQM5mZjztfeEzK5JmCi27Dh+TBR1m8JmBhLb3LtZ6T8MXAf65878T+axE4d3+GktlnR1VboPq1vJbpQ46wQzoiIswROETid9a3ADZCjsA4C3qZwyQQT+yQGjRjWejZRGkiBaiFbIVuJGoKqV4JVUWMwxcSXSraXqVL5KlEsippqUV0U1SWRK/QtOPjx1Rs2+f7Kbf4VH78tUtdo5atkrohMCrlMKF+smd519kXv/OXDj6z3/ZW+HzDRKVa/46qrN/n+Zt//1aOPv+rkU1AsIJNGtmBqGyL1jaKmDtVVIpM80JgIhAlpRdVG1WhdECI1xcQDRYwuRhdTB1MrUy1QBJJAZOIgIPdi4kRjmiPZvklFx1RyMyU36fxYqG5ruH6bW+u7tb7TsNnUbrLzvpXzndIGp7TB1G2x6nbq+p2q1jcl3yvsCue3hOIrhPkF8D3gu9r7mRd/wk2u1onVJrFeh1dL8TTwPeA6iTdp8RrQqJALtbwR+BBoLsQo4XBDJ9n8NuBsSECRhfMdvFWoGOACaXAtqANoB5KAPenZqbDnuDmmrrkXT2S7+ZKurkFNCfW1qKlWtXWyWO3mSw8+9tTfx7cddsLJkbomkc7bxRq3uo5KVTXDQx/70t2PrVo75vuPrVzzkbs+P3fJErexQVQVrWLVa045bb3v3//r37329LOiDY1cVyvq61AsyZp61NajUIVStS4VXzomqr3zb8pP2kBUIGVkzlJZJWKEoP9YBsgANmhiglrldbvHlflvcdg+AEXoJHQC7UATUA3kgURFrsA+mEhgIY4y4U/o2LiIj1Fyk121JVy/LVy/zanZZZd2WnVjARPt/G4mmtodqm6HrNmlq3e5+Z2h3OZ4Zq0b+Z0QPwTuhbpPe4+Y6HJ4z3B4lYmsceyVxvxYqRsZbwQOZ7GAxQKjbhLiOuIRkvMFH2GLUwzeKsR5rBkMxlk2LjB2isgDUkAV0A60C5FhdqeYeECIbK9QY9fWi/o6bqznuhpdV29KtbGaxr+u2fjEhvFMa4dbXaeyxXhjq85VhdpbF5926jPbtm/y/c9++cvdI/Od6pIsFlWpGvmcW6o58Zy3jPn+9Z+6XSbSbqkGhbxsqOfqWq6uRW29qqlTDfWyKn9gMhGIExKMOCMs2BPCI8oSZYmcMhN5ion/elEClABFAQ/lUIN8FhG4ou5UA1HgEm1+z6HtiGwXmQ1uaVu41g/X+k7Jt6t9q2bclMbs/E47v9PUrrPq1lu1W6yaHVbNDl29S1XtNPkdJrfVy292Un+D9QBwN/guZX3RCX1Vhp+U7lq2x9gek9bTUv0YuBm4ADgeOFbzNQIfgGyGatNypqsOVzhJ42QyGSAKpBRaHSw0GJ24YHKgKhYpQRFGiGADFVfVHonTsqK8f+/csSntNwnbqarVDQ2isQHNDWio1Q0NprZuzhFHrfb9+373sFeq7xhdePOXv/azP/3lK/f/VDbU9y855vt/eHjZdn+D7//k4Ucu+OA1zXPnRVrbRFW1XVt//R2fX7XLP+7Mc52q2mRz+8nvvrz3NUdFp80w9U2iqUW1tOmmRlHMvXRMrBRP+mQEWwRdOe2eyZbCVWiRaGYUgUQwXWPvJP+9l/Yp7XdRAogDkQoW/BMmMseVerdlPwR3K8LbdH4sVLsjUldmoinu1NWbdPUmO7/TKeyqZKIpbdfVu2Rxh8nvUJnNTnbMyzxtIg9qfQ/wOeB2Vnc5yaXKWwezEWq9tJ62nQcc5/ZQ6DLm1wPHKLqacRWoAWhkdGssFjhR42Rh5wImAvUGo648iASVmYgCcVJQRHJECg+YYuJLKmG71XVWU5NqbuLWJmqss5qa7PqGo9905gbfv/3e784+7Mijzzj7Kz954Cv3//Tv49s6Dj9M1NeFm1r6Fh/2yS996ZktO9b4/mNjm99+w0cyXd1eQ9MDjzy+1vcXv/aEoSOOeuCRx//u+8e/4+LotBlWQ7NsbrXaO1Rjg6mpOtCYCCjCZPaCNek31NSqqEVQFVGSyJli4ksgFopYgncXYJbnPe0DiwAk4EG0C/qucZcjtJViO92asXD9llitHyn5brVvFbabwrgpjLv5rV5hl672Tcm3Sr5b7TvVm63imCpukoWNIrud0ltFar2VfIbdHwG3Ae8UfHkofL92H2b7MbL+AvMoqUek+rGlvqTE+4FLbXGHxmeATmAGMJdxOGEJ41hWLSAreMOKijb6DEYJQ0E0hQQThRgZRfmJ2NHEpIg9TiL2ntWpaoqJ+1/Kceoa3PY2a1qbmtZKLY1OW6vb3HLwCSf9bcv2Vb7/sbu/WurtX3LWuY+t3fiThx8JT+8wzU3htvZ427RES3vT4PA5V7z/vx597JPf+76uq3eamr/281+u8f0/rljzposvveLmW//u+/1LjkGx5LW069b2UGe3aW5yG2pfMiZS5aJbGdkr32tcHjEUnJMVkS04LtGo0CrRxmgBwph86+LZ/p8p7W/tk4lcWaM+8YMAAiay6rD0fW5kNYW3qZQfrt/yXEwMFf1JJjpVu+yqcas4JgsbRX6Dyu9EcjMn1znpZTryE+A24O3ApaBvQP6a7ceE8zjUn4E/AN9jfC4avsG2r4y5d4fM55XqE6KbeZ6gVxGWAMdANLFwgjfMyCl0eWqRFHMn3IYEuIT0FBNfcrHxvIamUMc0Z/o0M71dtDWHOqaFWtuyHZ3NQ3NHjjpq2rwF9/7ywXW+/5c1G9574y1OW2uoY5rV0BhrbY83t+Wmd6U6ZsTbprUvWmzqG7yW1vnHv/6k889/54dv6DnokGs+9dmH16+fdtihodZp2d5+1De60zutluZwc8OBycTJfw2GTQoRbBjDEo2G2y05XYl2osgUE/+l2kdw/x/F+xkokDnRUn8RzhpEx6287zZssGrXhqp9r8q3C1t1dlxlt+jcVje/PVTwVdFXRd8UfafgW4VNJr9R5taJ7FpktyA9jsSYio45sUdt94cKHwMuB95u2+9zve8r/Tvgz8CfQF8Df5TV24DzCvG/htXvtH01cDrwZuCNwBnA6cyjoBogSnCksADp4giPjgTmANOgyheT1vGQHDToI9QDGcBjlhOzobFH4uxUjOVFkrTDbe3etHavc7rd2eH1dIand8Q6pqc7u5yGxnBbe9+r/+Pdt33ylnu/df0dn3/bVdd402cEFumYEemYEW8vW2xGV3ja9OiMruiMLtPYXJo19J9XX/e7pav+e9nS11/yzsSM7kj79FBnt9Xe4U1rj7e3HGBMfJb3ZiJmwuWFOMqodcTMkJ6tMQ2o3mO3WHb4SOIDYfLnv53+D0yUzskBE0Viq1P03YYNTv36ULXvFndZ+S2VTPTyuyaZaOd3WYVNOrdhDybGN8nIJjv6iO3+0PAtUr4PuJD5Uhb3ED8I/BF4CPgycD3wFuDMlPfnkPyttq+W8mytz7Gss7U+z5jzLGux0o1AFLAnmtbNd3FEJHKYZfWWh6AKBlwb/QZ9UjQRZQEPYGKIcgv7KSa++JJ2rGN6ZMb0SE+X19MZmdkT7ZyRmNGZnD4jOX1GsrMrOq2jNDiU7e0rTO/Ots8Id3YFFpvRFZvRlewoW65/dmxGV6yzO9s/O9XTF2pqS7ZOr+sfKg4N2q0tXkt7trc/0t0b6uxO9HTH2ppfLkyceG9RoCTRadBjqEPrhjITJ65QYpraJ75YquzSPtGr/TmAUH7qMGmuV+pJuCtlcYdT51t168MNm8JVu7zCDpMbU5mNKrNZZ7Z7uV2hvK+qtquq7VZhu5vf7uS2WZktMr1BpNZzei2SqxFbT+F10luuzePEvyF8DTgM9CqIi7S8UeP7jG8LfJpxJehE4LWu9ZCtf0/yTuB9Ur3XyPdJ/oDBhzzcZHBtcNqdmKAohUrGrYsi6kJgBKiHBQhIdGp0G7RJVAHR4BC97xEQU0x8MWTcdGdXsrs70dcb7e1OzpqZ6ulJ9fQkuroyfX3pWf3e9I5w5wy7vS3d2VU9a3a8ty/e2xfr64v19cV7+1I9fenuvnR3X6KrJzq9050xI9rbm541OztzVrajO9bUHp7ekejpLg0OF/oH7GnTAyaGmuoPACZORlcCqj1721ERTCnvBA2Q1uh0VZ+hGYwmwA12i6wAUlNMfFH0Qpko5ZGWe6PWT5G3yq71vQbf1K6LNI6Fijvd/Had3aQyG2V6XGe2u9mdlUx0ctvs7FaT3ixS6zm5jlJrkFiF6DqE1gp3mbH+KuTvtLpXiCOAw4ALJH/E0A8kf1fSZ5T4gFSnSHmCkb/17IfBdwDvY/FuSe9mvF/hahc32nx90GiEmYlISAOEFc6MWxeFQocD9VBQlmJMl+hUaJGoIooFTNz33IkpJr4Y0k62uyfT15fqnxnr60kPzMr09WX6+rIzZ6Z6eqLdXZGuzlT/zFT/zFxPb7qzKzmzPzmzP9Hfn+jvT87sz/T1Z3v7s7396d6ZhdmD2aGhRH9/rKc309dfO3Owftac0tzhTP/MbG9/rm9WYuas3NBw1ZyhTGfHy5aJKYEOW/TYokuJVuZQebcoppj4okmCJ+2fze0MvqcbjH6QrScovM6t80MNvi5tCdftdAubnfy4yWzU6Q06NW6lt7sZP5Tzg3iLKYzbuTE7tdMktuvEFhkbl4kVHFtG4WVwl8NZAbMc5imoh4BLgP8A5sJa5Finu/x2G++18V6tXwe5BPLuUOy7MO8BLiJcxPR24F3ANRp3adwBtIO4fEChKJADMpbXlbA/pHE5UAdOC8QIHmAzXClsKexnN4if8mG/iJJ2vru3OLM/19+f6ustDA7k+vszfX2pvt70zL7E0KzMyFBqeCA1PFCYPTvX35+eNZCYPRAfGIgPDCRmD6RnDeRnDuRnDqR7+pMzZ8Vmz44PDCQHBjOzB6t6B4o9s5O9PfHurlzfrOqBOdnBOenZg5n+mekZ0w4AJj4fTdTzVd558ICipjbD7ZqbBaoAL5hgwWLv8dZT2g96oUw05hajHxT2kzK20asvM9EtbXPy41Z2k05vUKn1KjlmUtsCJur8WGBWdpOV3KHj21R8s4yNc2wZIs8gtBTOMtjLoZdBPwn1ENGlREcBQ8Bc4ESFCyTeJXAp0RLw0cAdkcT3od8txDsCJjJfDlytcOduJpZRFibKAxlQU9y6Jhn+sGW1AQmB2EQGoi2FraTDtM+B5VNMfHEk7UJPX2n2QGH27PTMvqo5QwH7crNn5Qdmp+cOFhaMxAf703MHqwYHqwYHswNDqcGh5NBQcmgoNTiUHRgqzhoqzhqqmzu/MGduYnAwNWdOZs5wfmi4dtZw7azhTP/M4tBg7ZyRqtlD6dmD+Tlzi0ODhd6ulwsTy7mKwQ0XzDKABxQIjQqtlmzVokaICGATWVNMfFH07CmdezKxsgaOAXbwiBJPsfuMTm+wa3233jdVvs7tcLIbrfR6lVovE5sCJjpp38v6Ou3rtG9ltliZLVZqq45vU9EtMrKZvaXsLSX3GThPw/4bzJOw/gzn54RvAFdCtAKNQIviDgtHKRwJMQuqH/hgPPsFWG+FOkPijYpOhnUyxOuBSxTeBVkEMkAJqAZLSA0kgDqyer3wsZouBE6n3UnaTNAMV5DHE70/906SmDo773cJu6ZvVu2c4dLgUH7WrNq5c0tz5hQHBkpzh7NDA5Gh/uzCkeicWcWF86pH5uaHBgvDI4Xhkcy8kcy8kezISGF4pGZopGZoJN8/WJgzNzd/NDd/NDsykp8zt2723PqBkerhOTUjc2vnjNQMza0aGa2eNz8/MDs1vf3AyNl+tvbYEAKTF57AZDfP8ps2hIxCt0GvoRkSjYA1tWa/KHqhTAzLxyU/KbylVnaTVbPLqdtlqnyR3mpnNkwyUSY27ZOJJrllkonkPhNYmYn6CZg/wf5vrb5jzIeUNR1oBJq1mO7w0ZpeTXI26VnAVYncF2EugDqDcDLjRKgTgeOAiyUuFaYkZUGpBq0bHC8MlgETgVZgkS0vikQuKucwctDTWAWHaC0jU0z814iVWz9rsGFkXu2c4eLAQMPoaN3ISPXQUO28keLIcHr+cOmwRfG5A8WF86rmDueHBqtGRqtGRgP25UdHq0ZG64ZH64ZHS0MjNaMLCgsXZEfn5ebNK40uaJozv2723IYF80tzh0uDw43zFtQtXFQYHikMDjTMGXh5MZFYVjJRaBH4FgnTDXpd1WOrNio3vpvSftfE1zGZExpIIC4RDThhBY2m0Ux8jtY/g3oYkSdNabvT5IuSL7NjdnazjK7R8XUytUUkN3NinBPjVnKDmxnT2XGd2WbSW3Vqi0xsktE1HFkuvKXsLBV6OcQy4Bngz6BfQz5A9r3ALSwu1/R6oB+wSYWFVRBqmsJciaMI50e999ruO4HTgEOAQ0FnAu8ArrDog644X+NwgWaJMAG0O9dBAvUGJ6bCZwNHAguBOsAEk4EMKUNKSWZJoNDEfDVV+WlMab/JsYvDc0rzRkrzRloOObhmdF7dgvk1o/OCNZ98lAAADt5JREFUZ55tVQvmvyBrmre4fnhh9chozeiCuoMOql24sHbOcG3vLAgFqCCiWF7vD8w1bx8xGQCTw04Z8IyodmWHhZkCXWVoMhRIAxosgipV6YANpCynAEkAUkAGe6DyqwhAQkLJiU+m/ILEIH4Fe46eg4mM2CQTNQMCRC1SvUWI/4J6mGN/s2p22I27qGqnyGyaZKJIbq5kopPepLPjKr11kokisprCy4S3FPpvJJeyWiHlCikfI/4N8F/grzB/gvgyieMDJoJd0jmhpgnMYbwaOC9kX+54l0h5hlJHKHWkVOdK+S6iKw0+YHAOYTFQT3CZiJlIEEsOmAgcbXBiLHaSlAcDNYBhJjnhURXlz2Fy5qSSRPLfZ+zuASPHLs0baVx0UM3ovPqFC6rmDtcvXNBw0MK6BfP3aTWLDnpB1rrg0ObRg+sWHFS/cFHjwQc3LF7cMDKvcdbQy52JE2LAY+Qkmgz6LDWTBEGACbJ85mNJitmGdKR2pWWx5ol55VKSmmLi81C5vDkIrUCg/HkxQhKeARuwgAHiwNFG3gDcD/NnSi1zardbtT7lt3F6o5UZF5HVKrZWJsZVcnNAxoCJJrPeZNbr1LhKjsnYRhlaB28F2cugniL1NzZ/VeZP0vwM+htQHwd/FOomwrUSpzJGgTTIQAG2AEcIHcBi135ryPk0cL2mNxo+TagzwG9iPk3zKVIuABqDFp7ME8WkovJ0Eg2Fz5DqJKAn6JsrYCY8BkpA7VE+RZp4yoe9v2VMy8hIz6GHdixc2LFwYeu8eTMWLZqxaFHb6Oi+bcHCF2TT5y+eNu+gptGFLQsWtS5a1HLQQS0jI22zhyAkJnLOKlOkDzjtk4kTnhwWACTgAnGFale1A9OBDpgg10ITGxaKhYI0UscV9TA6gQSgCLsreMuTEoK/ScHzlesEY/JTeiXqOZhI8PZiopTHOeZG4IdsP6pyq5za7ap6BzKbKbVBpzZxeJWMrhHxsYCJMrXFSm6wUxtNZr1Or1PJMZnYxJH1wlsLZxmspcJ6mvXfIf8C/j3oR+CvQt7C8ibSHwM+LHGqUYuUKoDMhEszwjSd+RDbnB8L30F0g8KpAicDpwInAW9gnEg0j6gJMOV8w7JrBuUeOeXygGO0OSUUGlGqOmCiIpKAJL03E8vHkSntVxlTNzDQdfDBHQsXzli0KPhv2+hoQMZ92MGHvCDrXnRY10GHti86ZNriQzsOPXTaIYd0LFzYOXf034+JAkWLW6TsFqKTLCJNAROJJbGE0ELFAiYKkWY2ezrJdzNx8m9PMXFCZSbKieRtOfFJGQkTnJ0JLlCvcLbFXwD+C6En3OI6t7RN5rcitYkS61ViA4VWcngVxzbIxCadGjfpzVZyg5XcoJM7dXKnim2V0S0UXkfuclhPkv4LW48I9QeSvyb6KXAP6E7wx8HXQV4OukDiTEOnKDoWGAVagTZGp8RsIeZb5tRk+F7gU5DDQBfQCbQB7STahMpDeFAQevL7VIBikGAIEcyQ8lh1h6xTPfEGYFrQQFeT0RRURecEcuWrMchQmtL+lbFq2tqbu7rrO6a3dPe09fa1dPfUtk9r7urep7V0974ga+6e2dTVV9vTV9c7s7avt7avt7a3u3FGJ5hpYtV/uTFxz2LToEqLBEERPIGFjAXALKCl7DekAJoeIy6QEihKHKLoVcAAUDNRLl0RVZ2soQYIiqBewTQM9PyYyNyo6RyFO4X4mYo/HS5tdKq3UmYcyY2UWC9i6yi0kkIrKbpeJjaZ9OaAiSaxXiV2qMQOFdsqIpsRWgtnGcwTkI+A/wD+LcSDzD8j+gboTuBm4BrgEuAtis6y+FRbvc6Yg43plHI6YYbEbOZRwScmw/cCnwQPAdOJuiaZyDIHcoLvWEghZdBoRBEgOOjIBJAHtBKOjZpTQ6HZezFRUj5gIiliqVlO7RP3t4SE40JpCAmlYTswFqQqz8vdh6kXaAbCQBkoA62gFXQwifflzUSq6FzFzEIoggJcwnzGAiEGmdv2YuJEH++8EYeH7GMcZ4GUDSSJBE0x8R9qd4xFCtgiaO0LJiIx0foSkEC9wunArTAPW6nV8dotXn5MJteI+HoZX8/RtQitQmgVRdbI+HorPWZnxk1qnUqs0cmNKrFBxler6DIOP87OH2H/D/R/Q/0I8tsQ3yC+C3wr6DrQFcD7CN8ifMvBJy1caeHtmpeQngYVBkMoQCuoZDz0NeDjEAcDLQo1AtUCzZraBLUAJSAMkhCQCrJ8GmYJoUAS0EHmETylBi26kHAO0AFEAAUGCbAEYzZhEBgkDL20X86/n4QQSqm9nqR/EMsKMvWev2EybCYhJqYHMQWHxErv0MuKiSwETXY1DbYxQTMnBWFT2MbBEovAHsiAJEgRDMEE7SKAY239caF/CtwH9IJjuzsmc0V0lSAhJWT5xD75Gq84PT8mEjUonA7cIpw/u9l1ibqtbm6TSKwW8fUqsYEiawImIrz6uZgoI0sp9BjZD8P6FdQD0v4Jqe8AXwM+A9wEfFjIq7T+oOvc7zr3R/UdFq6UuFDiaIhWTE5TEQyKRt2vEH1C6MOU6mBUEYqMJsPtkluJaiaZCIIor4KsSAZMFAKkgtqATuBM17koFBoAwpVMFDQgxbAQw0qOvJRfzb+7hBB7PdiX+AXavpg44Th7WTNRSK7cLRJDSinBGq6NgxUtJhEKmMjCEIxgWwgFYuAY17rVizwYDv/PFBOfhwigiWZaZSZKEIRiApSAIACGZa/A+eAvicSqcPXmVMNOL70eztM6utIk1sNeidBaCq8Los86scZKrbPS6+3MBpNerVOrdGKliaxSoRXKWin0SsnLtXjG4sct/oMnfxky94X1Pa74ssWfEvaJMIuBWcBMYBAYAhqABMEDDEhDGsItCrcBS0BdCgWJvEC9QL1Co0QDIVX2HzNIQDG0CCLL0ICLmIUwKcAKZrU2AhcrcRnQCrQyDo/KYxPmKJfmTOXEvhy1x7mvwge3jzT8A/OIuAcTVYXtG+GegEMAbEazJY8lvBoogLgCaFFwFmIe8Otw+HEvdA9wFtADHYY1kbpYPjtzZaXvAbpm/Cv0HEwkgUomkugBzgU+T7EVdm5DuGrcxFbBPKUiK6zkBnZXw1kFdzW8FRRaKaIrZWyVjK+W8dUquVIlV6r4ChNZJb3l0qwguZyx1Miltvirod8b/EziXoG7gM8AH4U4Djwf6AdmEg0RzRGiWYg0UyhgImvbMp8O23fa9huMNStgIqNOoF6iQaIhmFwqlWTJ4N2rYMBEC2ELYWkJWEGmVjXwtpD7/nC4PxSaaemjLBzJGAW6AaOU/VJ/PVN6YXqlMXFierQNNFryWNc53pg6EAvJQrIQgjkOygCDwAPG/DEW/7br/idzH8je3c5xiol7KshlDfbOiqAqrxUpiMBABjgUuAz4kcxsNvltofwmGVoG+bgJLXWS68hZWWaiuxzeChFaJsPLObaCo6thj8Meh7OW7ZVk/gbxJ+C3wI+ArwOfBq4GLgJOB14LHEPiSOBgYB6hk9ABdIDaQHUQGZsdCRABAlqc5dnnA4tAvQIJRpwQYUQFO4JNMG1VshGkaeKUxBJSQRs2cA3CVPZA9wFDkPOV95po9DJH/ydoJpAB4oDk4LA9pf0reoH2AlUZRdlPf/IlUYUfYI+JBXsbwaWgp4lwQMd44VO0dTTQD0QpcL/Lcm62cKrc8Lkx98mw9bgSHwGWQMSgZEVkZjLQagvYU0zcNxMFB2GuHNFhzO825oFQje+V/DITxWPKfdqKr4G9QoTWcmitCK/i8CoVWaGjK0V8pYitgdkEawzOWrJWQD8F8Sfg18B9wNeJPkN0DXAR8GbgOOAYof6D6BDm+VL0ME0HOoBmoAQkKpkInMJ4MzAK9DDihBghQogIdpj0RBaqZCghWEjBkkmU3SM2hwImGpMJh+dHIoeSWgAsUupCxrlAH5BhTipls5oq7nsRNMXE56Xny0Qmj+Ayu2AbeJUyr7OcJcyziWKB+32SiaAkcILCQ8nw3xOxz1jWidKkSCsokKIpJlaqkomSJny6JBgUjBNTJIrgw4DL3Mh/OyXfFH0ns0HZfwf+KM3jOrwS9nKE1iK0VoRWyvByFV2mostEbJWIraLwchVaIaNP6cgjwvs92z8neT+Lb4LulPIWLa/S4iLBZ0i8UdObXHEaMF+gz6BToRlUA1QDRaBgoAzYlDE1KOUo8aAbGgalgCSQJWQFRRTMRLszSFCZa+V8hgTQCrQrzHXxuhBOsHW90g40YABhg+u0WSzVQVARsIJgyL0jpFP6/+oFM/GFxViem4PP9SsHmioJ+M/foRFSAGCCUBA2ZEnLN9rijcAioDEohdZkJBRRUDR9ZSj8o3j0IcaPgTcANZBgUb73Jz4rF3BfPuvH/tdzMpHKwWdFogg6FLgskvgVUmNIblbx1cI8BTxE8lHpLSdnBeyVsFfCWUbuMxx6WoSfocgKiqyAt5SdpXAfI+chmAchfwL6Iege4NPADcB7CBcApzFOYZyi8AZglNAj0SHRBKoRolaIkpSlgIkWkQCAWcAcYKaxB4jTRCkgy5QTFNFkSRICLIkUcSUTtc55Xp9Snbac7+B4iaOBXDk/SwHCBqqJ52uzWDnJMhN5aqO4vzXFxH+iF8ZECSpH0gMmosA4KRE617aPZG7eFxMvk+pbidjD8ejvotHzbLsVMvC3TjFxtxi7c1mZJn26k62KCFAxiG7gBCf1RSS2IbHNTqy13GeY/qzkX4y3gt1VsFbBXg1nGbvPyNAzKryUYis4vgbuRjLrYT0D+QToz8Bvgf8B7he4R+Ljgi+X4nQhjxF0GLCIMKysdinqFWokiixSQqaZ8wJZF+RMNvOSUdJ5IAWkEUx/RIaRlcgZ5BRCEkqCFYKCroB3gwZXhsWHwAthFQO/skBYI2YoImFJB9AApYQ115gzgZMgohBT+8SXWBOekOdrE78VWOXzlafRwBMX7AAONAVdSMy+K1ieZQ5sB3aQZAapgAKw2HOPd6zjJY4CakAaAkRgKIUcoq1wjxJY6qq1yv4U6PWQcjKbfaKYUAGqHGl55el/Adlb6TUPyB4+AAAAAElFTkSuQmCC" 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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;">Um táquion que aparece com energia positiva para um observador, poderá
aparecer com energia negativa para outro – e viajando com direção temporal
invertida, isto é, para o passado! </span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;">Durante anos, essas duas propriedades
(energia negativa e reversão temporal) dificultaram a aceitação da existência de
objetos superluminais pelos físicos. </span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;">Mas esses obstáculos podem ser vencidos com base no chamado <span style="color: red;"><b>‘princípio de
reinterpretação’</b></span> de Stueckelberg-Feynman-Sudarshan-Recami. Imaginemos que A e B
troquem uma partícula (P) de energia negativa (e carga elétrica – e) e que
viaje para o passado (t2 </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><
<span style="mso-bidi-font-weight: bold;">t1).</span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;">Para qualquer observador real, esse processo aparece sob a forma de uma
troca, desta vez entre B e A, de uma partícula, Q, dotada de energia positiva
(e carga elétrica + e), viajando para a frente no tempo.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;">Assim, a partícula Q aparecerá, para o observador, como a antipartícula,
P, da partícula inicial P.</span>
</div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-bidi-font-weight: bold;">O princípio de reinterpretação elimina qualquer movimento para o passado,
bem como qualquer energia negativa, e, além disso, permite deduzir a existência
da antimatéria a partir da teoria da relatividade.</span></div>
</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br />
<br />
Nos referimos de passagem, para conciliar a existência de
táquions com o princípio da causalidade, a expressão que na literatura
científica consiste de duas declarações independentes:<br />
<b><b><br />
<span style="color: #cc0000;">1 - não podem existir
sinais superluminais (postulado abandonado pela teoria que trata dos táquions);</span><br />
<br />
<span style="color: #cc0000;"> 2 - que a
causa antecedente, no tempo, o efeito, é o que define uma causalidade
retardada (a ser adotado).</span><br />
<br />
</b></b>Pensava-se que táquions violavam a causalidade, pois, em um sistema,
eles eram emitidos por A e absorvidos por B, enquanto que para outros
observadores eram antipartículas emitidas por B e absorvidas por A.<br />
<br />
Mas o
princípio de reinterpretação eliminou o paradoxo de transporte de
informação para trás no tempo, mas o faz sacrificando a antiga convicção
de que relações de causa e efeito são independentes do observador.<br />
<br />
No
exemplo acima, um observador julgará que o evento ocorrido em A era
causa do que aconteceu então em B, enquanto que o outro pensará o
contrário. Ambos verão, no entanto, que o que consideram causa, antecede
no tempo o que consideram efeito (a causa antecederá o efeito).<br />
<br />
Mais uma vez, a reflexão sobre os táquions requer uma crítica de
nossos preconceitos. Se aceitarmos que para todos os observadores os
fenômenos devem respeitar a lei de causalidade, então não podemos exigir
que certos detalhes descritivos (neste caso os rótulos de causa e
efeito) sejam também inalterados.<br />
<br />
Sabemos que não é fácil aceitar a ideia de que ser causa ou efeito
depende do observador. Talvez possa reduzir o incômodo que provoca
analisando uma situação que ocasiona dificuldades semelhantes, mas que
está alheia aos preconceitos atuais.<br />
<br />
Vejamos este caso extraído da antiguidade:<br />
<br />
<b><b></b></b><b><span style="color: #0b5394;"><i>Os antigos egípcios não conheciam
outros rios além do Nilo e seus afluentes. Como todos fluíam do sul para
o norte, os conceitos de sul e contra a corrente, bem como o norte e a
favor da corrente, eram equivalentes. </i></span></b><br />
<br />
<b><span style="color: #0b5394;"><i>Quando descobriram o Eufrates –
que corre do norte para o sul – houve uma enorme crise conceitual; o
obelisco de Tutmés I faz referência à corrente invertida, que vai contra
a corrente, mesmo quando move-se a jusante. </i></span></b><br />
<b><b><br />
</b></b>Quando nos deparamos com os
táquions, nossa situação é semelhante a dos antigos egípcios.<br />
<br />
Uma vez
admitido que esses existem, relativiza-se o modo de conceber o que é
causa e o que é efeito, e uma série de paradoxos que, apesar de terem
solução (pelo menos na microfísica), alimentam muitas dúvidas.<br />
<b><b><br />
</b></b>Até agora consideramos partículas com qualquer velocidade, mas temos
sempre nos referido a observadores subluminais.<br />
<br />
Tentaremos agora
estender a nossa análise a todos os sistemas inerciais, incluindo, se
possível, aqueles que, em relação aos sistemas ordinários viajando com
velocidades superluminais. Na verdade, as expressões subluminal e
superluminal têm, elas mesmas, um significado relativo, pois nós mesmos,
para um observador taquiônico S, formamos um sistema superluminal.<br />
<br />
Para
estender a relatividade especial a nosso objeto de estudo, é preciso
postular que todos os observadores inerciais (subluminais ou
superluminais) são equivalentes. Em particular, assumimos que, como nós,
observadores taquiônicos também têm à sua disposição instrumentos de
medição, partículas e todos os demais elementos próprios da nossa
física.<br />
<br />
Obviamente, os brádions, assim como os objetos em repouso
relativos ao nosso sistema de referência, são táquions para os sistemas S
e vice-versa. Portanto, a velocidade da luz (<i>c</i>) continuará inalterada em todos os sistemas inerciais, mesmo os superluminais.<br />
<br />
<br />
<br />
<div style="text-align: center;">
<span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;"><b>Evidências experimentais e seus possíveis erros: </b></span></span></div>
<br />
Acerca das evidências, vale a leitura do artigo "<span style="color: black;"><a href="http://dinamico2.unibg.it/recami/erasmo%20docs/SemiPopularizationPapers(aSmallSample)/choje01.pdf">Mais velozes que a luz</a>?", publicado na revista Ciência Hoje, n - 170 de abril de 2001.</span><br />
<b><span style="color: red;"><br /></span></b>
<b><span style="color: red;">1 - Em primeiro lugar, vale destacar uma série de experimentos
iniciados em 1971 e que envolvem o estudo de neutrinos, partículas sem
carga elétrica e com massa que se supõe extremamente pequena. </span></b><br />
<br />
<b><span style="color: red;">Esses
experimentos parecem indicar que o quadrado da massa de uma das três
variedades de neutrinos (mais especificamente, neutrinos associados à
partícula múon) é negativo. </span></b><br />
<a href="http://www.blogger.com/blogger.g?blogID=8827017589495907464" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><br />
<b><span style="color: red;">Mais recentemente, outros resultados parecem
indicar que também seja negativo o quadrado da massa de uma segunda
variedade de neutrinos, aqueles associados ao elétron. </span></b><br />
<br />
<b><span style="color: red;">Em ambos os
casos, essa relação equivaleria a dizer que esses neutrinos são
taquiônicos ou, pelo menos, que em boa parte sejam taquiônicos. Dentre
esses experimentos está o resultado referente ao experimento </span></b><b><span style="color: red;"><span style="color: black;">Oscillation Project with Emulsion-tracking Apparatus</span> <a href="http://arxiv.org/vc/arxiv/papers/1109/1109.4897v2.pdf">OPERA (2011)</a> de grande repercussão.</span></b><br />
<br />
<b><span style="color: red;">Todavia, novos testes demonstraram que a velocidade dos neutrinos é consistente com a velocidade da luz, o que elimina a possibilidade de suas propriedades taquiônicas (ler <a href="http://news.sciencemag.org/scienceinsider/2011/11/faster-than-light-neutrinos-opera.html?ref=hp">aqui</a>, <a href="http://news.sciencemag.org/scienceinsider/2012/02/official-word-on-superluminal-ne.html?ref=hp">aqui</a>, <a href="http://arxiv.org/pdf/1203.3433v3.pdf">aqui</a>, <a href="http://www.nature.com/news/neutrinos-not-faster-than-light-1.10249">aqui</a>, <a href="http://www.nature.com/news/timing-glitches-dog-neutrino-claim-1.10123">aqui </a>e <span id="goog_340416299"></span><span id="goog_340416300"></span><a href="http://en.wikipedia.org/wiki/Faster-than-light_neutrino_anomaly">aqui</a>).</span></b><br />
<br />
<br />
<b><span style="color: red;"><span style="color: black;"> A figura abaixo ilustra o erro ocorrido:</span></span></b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
</div>
<b><span style="color: red;"><span style="color: black;"> </span> </span></b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<b><span style="color: red;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7QDSGDiaPK422ZPpJly-vwVwbu_TYxnb8gp3qEB2hHXK8siRP4guFEr0zoYTVJotXbPL92IoalI7-RuI_VpbPLS1RodlCpMNkThPd17iLg61MuRBfyV1kIY1qmt63KjyC_4eSzXi0E_U/s1600/OPERA_002.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="278" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7QDSGDiaPK422ZPpJly-vwVwbu_TYxnb8gp3qEB2hHXK8siRP4guFEr0zoYTVJotXbPL92IoalI7-RuI_VpbPLS1RodlCpMNkThPd17iLg61MuRBfyV1kIY1qmt63KjyC_4eSzXi0E_U/s400/OPERA_002.jpg" width="400" /></a></span></b></div>
<br />
<br />
<span style="color: red;"><span style="color: black;"> <span style="color: red;"><b>O acontecido se deu de forma a que os neutrinos atingiram o detector 60 nano-segundos mais rápido que o permitido pela velocidade da luz.</b></span></span></span><span style="color: red;"><b><br /></b></span>
<span style="color: red;"><b><br /></b></span>
<span style="color: red;"><b> O erro consistiu em dois problemas:</b></span><br />
<br />
<span style="color: red;"><b>O primeiro deveu-se a uma má conexão no ponto em que a luz oriunda de um cabo de fibra óptica traz um sinal sincronizado de um sistema de GPS. </b></span><br />
<br />
<div style="text-align: justify;">
<span style="color: red;"><b>A falha pode ter causado um segundo erro que foi o atraso do sinal do GPS causando o retardo no relógio principal e assim fazendo parecer que os neutrinos viajavam mais rápido que o que realmente viajam.</b></span></div>
<br />
<br />
<b><span style="color: #0c343d;">2 - Em segundo lugar, outras observações, também experimentais, feitas
desde 1971, mas dessa vez em astrofísica, têm revelado a presença de
objetos muito velozes expelidos pelo núcleo de vários <a href="http://en.wikipedia.org/wiki/Quasar">quasares</a> (núcleos ativos de galáxias). Caso os
quasares estejam muito distantes da Terra como geralmente é aceito,
essas velocidades de expulsão seriam então superluminais. Ver <a href="http://www.relativitycalculator.com/superluminal_velocities.shtml">aqui</a> </span></b><b><span style="color: #0c343d;"><b><span style="color: #0c343d;">e <a href="http://ned.ipac.caltech.edu/level5/ESSAYS/Cohen/cohen.html">aqui</a></span></b>.</span></b></div>
<div style="text-align: justify;">
<br />
<b><span style="color: #0c343d;"><a href="http://en.wikipedia.org/wiki/Blazar">Blazares</a> são quasares compactos associados a um buraco negro supermassivo presente no centro de uma galáxia elíptica gigante ativa. Os jets que eles emanam chegam a ter entre 95 e 99% da velocidade da luz, o que não é a velocidade de um próton ou de um elétron em particular.</span></b><br />
<br />
<b><span style="color: #0c343d;"> As partículas emitidas no jet movem-se em várias direções. Porém, sua velocidade líquida para o plasma se encontra na faixa acima descrita. </span><br />
<br />
<span style="color: #0c343d;">Porém, alguns
autores renomados, como o astrofísico norte-americano Harlton Arp,
alertaram para o fato de que os quasares podem estar mais próximos de
nós que o previsto. E, nesse caso, as velocidades em questão poderiam
ser subluminais. </span><br />
<br />
<span style="color: #0c343d;">Nos últimos anos, no entanto, têm sido descobertas
expansões superluminais aparentes no interior de certos objetos celestes
provisoriamente batizados microquasares que habitam a Via Láctea, a
nossa galáxia. E, nesse caso, as incertezas sobre as distâncias são de
pouca importância. Assim, as expansões observadas poderiam ser
superluminais mesmo que tenham sido tentadas interpretações mais
ortodoxas.</span></b><br />
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<b><span style="color: #0c343d;"><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">Em astronomia</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">, o movimento <span class="hps">superluminal</span> <span class="hps">é aquele </span><span style="mso-spacerun: yes;"> </span><span class="hps">aparentemente</span> <span class="hps">mais rápido que</span> a velocidade da <span class="hps">luz visto</span>
<span class="hps">em</span> radio-<span class="hps">galáxias,</span> <span class="hps">denominadas</span> <span class="hps">quasares</span> <span class="hps">e
recentemente também</span> <span class="hps">em algumas fontes</span> <span class="hps">galácticas</span> <span class="hps">chamado</span> <span class="hps">microquasares</span>. Ver <a href="http://astrobites.org/2011/04/08/digging-into-microquasar-ss433s-past/">aqui</a></span></span></b><b><span style="color: #0c343d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">.</span></span></b><br />
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<b><span style="color: #0c343d;"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">Microquasares são versoes menores de quasares.</span></span></b></div>
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<b><span style="color: #0c343d;">Suas características comuns com os quasares são: </span></b></div>
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<b><span style="color: #0c343d;"><span style="color: #b45f06;">a - a emissão variável em rádio, normalmente na forma
de <i>jatos</i> de matéria;</span></span></b><br />
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<b><span style="color: #0c343d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeKu-AYbANAwPYE52hPjDt9l-vbskUxG-Y-rqaU_p5vNLgcZ-lwXCiGH770wjTwDb-wc8E12iPx7-1kk60Xcv38T5csGb4hs2sDsf4Xwxnhn4HT5oXIJAMTyz2shYdI3bjcqhNZYnhP74/s1600/microquasar.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="312" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeKu-AYbANAwPYE52hPjDt9l-vbskUxG-Y-rqaU_p5vNLgcZ-lwXCiGH770wjTwDb-wc8E12iPx7-1kk60Xcv38T5csGb4hs2sDsf4Xwxnhn4HT5oXIJAMTyz2shYdI3bjcqhNZYnhP74/s400/microquasar.gif" width="400" /></a></span></b></div>
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<b><span style="color: #0c343d;"><span style="color: #b45f06;">b - um disco de acreção circundante a um buraco negro.
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<b><span style="color: #0c343d;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQIvoob1YMczVMCHxheEkojPjSnA2KkYaQUsc2xmuJ4_T7-m9F5Tu3n7evKv-iZFeVX4gd2RDt1PCGr9dV6UP-F6XH2a14Jv9uw3D9XikmP8k1gaFGqyQ4HfycLA-CvPGcOtYSmgCsMVU/s1600/microquasar2.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQIvoob1YMczVMCHxheEkojPjSnA2KkYaQUsc2xmuJ4_T7-m9F5Tu3n7evKv-iZFeVX4gd2RDt1PCGr9dV6UP-F6XH2a14Jv9uw3D9XikmP8k1gaFGqyQ4HfycLA-CvPGcOtYSmgCsMVU/s400/microquasar2.gif" width="297" /></a></span></b></div>
<b><span style="color: #0c343d;"><br /></span></b>
<b><span style="color: #0c343d;">Nos quasares, o buraco negro é supermassivo
(milhões de massas solares) e está em seu centro, enquanto que para microquasares o buraco negro tem
umas poucas massas solares. Ver <a href="http://ned.ipac.caltech.edu/level5/Sept02/Mirabel/Mirabel1.html">aqui</a> .</span></b></div>
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<b><span style="color: #0c343d;"><br /></span></b>
<b><span style="color: #0c343d;">Os microquasares são formados por uma estrela
binária de raios X: uma estrela normal muito massiva e um objeto compacto
(muito denso), que pode ser um buraco negro ou também uma estrela de nêutrons. </span></b></div>
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<b><span style="color: #0c343d;">O sistema está ligado gravitacionalmente,
orbitando um objeto ao redor do com os objetos orbitando um ao redor do outro.</span></b><br />
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<b><span style="color: #0c343d;">Quando ambas as estrelas estão suficientemente
próximas entre si, produz-se a transferência de matéria da estrela massiva até
o objeto compacto, devido à atração gravitacional. Parte desta energia é
liberada na forma de feixes de partículas que viajam a velocidades próximas à
da luz, produzindo espetaculares emissões de radiação.</span></b></div>
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<b><span style="color: #0c343d;"><br /></span></b>
<b><span style="color: #0c343d;">Há ainda os <a href="http://en.wikipedia.org/wiki/Hypernova#Collapsar_model">collapsars</a>, que são estrelas supermassivas que colapsam em buracos negros supermassivos. São as hipernovas. Suas explosões de raios gama são os objetos mais energérticos do universo.</span></b><br />
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<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span class="hps"><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;">Todas estas fontes</span></span><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"> <span class="hps">aparentemente parecem</span> <span class="hps">conter</span>
<span class="hps">um buraco negro,</span> <span class="hps">responsável pela</span>
<span class="hps">expulsão</span> <span class="hps">de</span> <span class="hps">massa</span>
<span class="hps">a altas velocidades</span>.</span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span lang="PT" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: PT;"><br />
<span class="hps">Quando</span> <span class="hps">observado pela primeira vez,</span>
<span class="hps">no início de 1970</span>, o movimento <span class="hps">superluminal</span>
<span class="hps">foi tomado como uma peça de</span> <span class="hps">evidência
contra</span> <span class="hps">quasares</span> <span class="hps">a</span> <span class="hps">distâncias cosmológicas</span>.<br />
<br /><span class="hps">Embora</span> <span class="hps">alguns</span> <span class="hps">astrofísicos</span> <span class="hps">ainda argumentam</span> <span class="hps">em favor</span> <span class="hps">deste ponto de vista acerca dos
movimentos superluminais</span>, a maioria acredita <span class="hps">que as
velocidades</span> <span class="hps">aparentes</span> <span class="hps">maiores do
que</span> <span class="hps">a velocidade da luz</span> <span class="hps">são
ilusões</span> <span class="hps">ópticas e</span> <span class="hps">não envolvem</span>
<span class="hps">física</span> <span class="hps">incompatível com a teoria</span> <span class="hps">da relatividade especial.</span></span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><br /></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Este
fenômeno é</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">
<span class="hps">causado pelo fato de</span> <span class="hps">os jatos</span> <span class="hps">estarem viajando</span> <span class="hps">muito</span> <span class="hps">perto
da velocidade da</span> <span class="hps">luz</span> <span class="hps">e com um
ângulo</span> <span class="hps">muito pequeno</span> <span class="hps">na direção do
observador</span>. </span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><br /></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Devido
ao fato de que</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">
<span class="hps">em cada ponto de</span> <span class="hps">seu caminho</span> <span class="hps">os jatos</span> <span class="hps">de alta velocidade</span> <span class="hps">estarem emitindo</span> <span class="hps">luz, esta</span> <span class="hps">luz emitida</span> <span class="hps">não se aproxima</span> d<span class="hps">o observador</span> <span class="hps">muito mais</span> <span class="hps">rapidamente do que</span> <span class="hps">o jato</span> <span class="hps">em si.</span></span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br />
<span class="hps">Para ser mais claro</span>, o jato <span class="hps">é
essencialmente "</span>persegue" <span class="hps">a luz que ele</span>
<span class="hps">emite.</span> </span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><br /></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Isto
faz com que</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">
<span class="hps">a luz emitida</span> <span class="hps">ao longo de centenas</span>
<span class="hps">de anos de</span> <span class="hps">viagens</span> <span class="hps">não tenha</span> <span class="hps">centenas de</span> <span class="hps">anos
luz</span> <span class="hps">de</span> <span class="hps">distância entre</span> <span class="hps">o jato e a referida luz emitida.</span></span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><br /></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Assim</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">, a luz <span class="hps">chega ao</span> <span class="hps">observador</span> <span class="hps">ao
longo de um</span> <span class="hps">período de tempo</span> <span class="hps">muito
menor (</span>10 <span class="hps">ou</span> <span class="hps">20 anos</span>), o
que dá <span class="hps">a ilusão do jato viajar</span> <span class="hps">mais
rapidamente <span style="mso-spacerun: yes;"> </span>que</span> <span class="hps">a
luz</span>.</span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br />
<span class="hps">Esta explicação</span> <span class="hps">depende do</span> <span class="hps">jato</span> formar<span class="hps"> um</span> <span class="hps">ângulo</span>
<span class="hps">suficientemente</span> <span class="hps">estreito</span> <span class="hps">com o a linha de visão do observador</span>, de modo a <span class="hps">explicar o grau de</span> <span class="hps">movimento</span> <span class="hps">superluminal</span> <span class="hps">visto num</span> <span class="hps">caso</span>
<span class="hps">particular.</span></span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br />
<span class="hps">O movimento superluminal</span> <span class="hps">é muitas vezes
visto</span> <span class="hps">em dois jatos</span> <span class="hps">opostos,</span>
<span class="hps">uma</span> <span class="hps">se afastando e</span> <span class="hps">um</span> <span class="hps">se aproximando da Terra.</span></span></b></span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-H0ai-xBJ9mjB_B4X6Z0Mn0_M0ayPwbPFgyRRp_MP6aE6zKMmwkBXi5C8EPKd51fl2HOqim6eg2X7v0c5_qFZoaQoSHdyYsOUCUs10T9RUGHcCd_Hju7J3qHq6QmwaJhAwLMl7zwEfZ4/s1600/BG16FG11.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-H0ai-xBJ9mjB_B4X6Z0Mn0_M0ayPwbPFgyRRp_MP6aE6zKMmwkBXi5C8EPKd51fl2HOqim6eg2X7v0c5_qFZoaQoSHdyYsOUCUs10T9RUGHcCd_Hju7J3qHq6QmwaJhAwLMl7zwEfZ4/s400/BG16FG11.jpg" width="361" /></a></div>
<span style="color: #0c343d;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><span class="hps"> </span> </span></b></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><br /></span></div>
<span style="color: #0c343d;"><b>
</b></span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="color: #0c343d;"><b><span class="hps"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Caso</span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"> <span class="hps">o desvio Doppler</span> <span class="hps">seja observado em</span> <span class="hps">ambas as fontes</span>, a velocidade <span class="hps">e</span> <span class="hps">a distância</span> <span class="hps">pode ser determinada</span> <span class="hps">de forma independente</span> <span class="hps">de</span> <span class="hps">outras observações.</span></span></b></span><br />
<br />
<span style="color: #0c343d;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><span class="hps">Dessa forma, as emissões de quasares não parecem violar a teoria especial da relatividade, o que elimina a propriedade taquiônica da matéria contida nos jets. </span></span></b></span></div>
<span style="color: #0c343d;">
</span></div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com10tag:blogger.com,1999:blog-8827017589495907464.post-32239919558643508812013-03-31T23:04:00.004-03:002013-03-31T23:09:02.625-03:00O UNIVERSO DOS TÁQUIONS - Parte 5<br />
<div style="text-align: center;">
<b>CONDENSAÇÃO DE TÁQUIONS</b></div>
<br />
<br />
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</b><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;">Na cosmologia das branas, a ocorrência do big
bang é hipotetizada como a aniquilação do par brana/antibrana, numa colisão,
onde as branas são objetos tridimensionais em um universo de muitas dimensões,
que conforme a teoria das supercordas, representam 26 dimensões.</span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;">A quebra espontânea de simetria acompanhada pela
formação de efeitos topológicos de dimensões menores, como as cordas cósmicas, é
desencadeada pela condensação de táquions. A existência dos táquions é
atribuída à instabilidade do sistema brana/antibrana.</span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">A condensação de táquions se</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">refere a</span> <span class="hps">um processo</span> <span class="hps">da física de partículas,</span> <span class="hps">em que o sistema</span>
<span class="hps">pode reduzir a</span> <span class="hps">sua energia através da</span>
<span class="hps">produção de partículas de</span> <span class="hps">forma
espontânea</span>. <span class="hps">O resultado</span> <span class="hps">final é
um "</span>condensado" de partículas <span class="hps">que</span> <span class="hps">preenche</span> <span class="hps">o volume do</span> <span class="hps">sistema.</span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Enquanto os táquions são partículas superluminais hipotéticas na
relatividade especial, o campo taquiônico existe nas teorias quânticas de campo,
como consequencia da instabilidade do sistema. </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">De início o sistema é considerado
em um local de máximo com um potencial V(T) e, os táquions ao cairem para um
mínimo de potencial causam a amplificação exponencial do campo taquiônico “T” ,
a partir de um estado inicial T = 0. </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Este processo é chamado de condensação de táquions, que, na teoria das
cordas ocorre num sistema contendo uma D-brana e uma D-antibrana. </span></span></span> </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
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<span lang="PT" style="margin-left: 1em; margin-right: 1em;"><img alt="" height="228" 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" 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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">O diagrama acima apresenta o petencial taquiônico efetivo V(T), onde o valor de seu mínimo local , V(To) é igual ao mínimo de tensão da D25 brana original, na qual termina a corda, cuja instabilidade é dada pelo táquion da corda bosônica aberta.</span></span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Em <a href="http://arxiv.org/pdf/hep-th/0102085v4.pdf"><i>Tachyon condensation in open string field theory</i></a>, ha três conjecturas para o decaimento das configurações instáveis das D-brana em vácuos de cordas fechadas através da condensação de táquions:</span></span></span></div>
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<span style="color: #cc0000;"><b><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">O potencial efetivo do táquion V(T) tem um mínimo local em T = To e seu valor exato, neste mínimo local, cancela a tensão da D25 brana original;</span></span></span></b></span></div>
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<b><span style="color: #351c75;"><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Branas de baixa dimensão exitem como soluções de equações de movimento de sólitons derivadas de ação efetiva;</span></span></span></span></b></div>
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<b><span style="color: #38761d;"><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Não há estados físicos perturbativos de cordas abertas nas cercanias do mínimo local, desde que a D25-brana, na qual eles possam ocorrer tenha decaído.</span></span></span></span></b></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">A D-brana é
uma <a href="http://en.wikipedia.org/wiki/Soliton">excitação solitônica</a>
(onda solitária de estabilidade invariável, sendo solução para algumas equações
de propagação no campo da física). </span></span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYgEpZxdrXzENkbhRgdy8MkRspgp9-0zgfzz8cN4TBwQxrYVVLtI4ciqfhzeaP35TChqUfADpL7EREfzyKgf1LRyvb4MmAe5Y79GGqqp0EL1bLNCCV1j5sjfUBRIMR-h3_WrMd7zzhRMk/s1600/FalacoSystem.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="342" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYgEpZxdrXzENkbhRgdy8MkRspgp9-0zgfzz8cN4TBwQxrYVVLtI4ciqfhzeaP35TChqUfADpL7EREfzyKgf1LRyvb4MmAe5Y79GGqqp0EL1bLNCCV1j5sjfUBRIMR-h3_WrMd7zzhRMk/s400/FalacoSystem.gif" width="400" /></a></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"> A D-brana pode ser estudada sob dois enfoques, conforme <a href="http://arxiv.org/pdf/1205.0120v1.pdf"><i>Boundary super - deformations, boundary states and tachyon condensation</i></a>:</span></span></span></div>
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<span style="color: red;"><b><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">As D-branas podem se consideradas como fronteiras de cordas abertas, uma vez que, cordas abertas são excitações de D-branas;</span></span></span></b></span></div>
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<span style="color: blue;"><b><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Desde que a fronteira exiba a criação de um vácuo, pode-se prover qualquer D-brana com um estado de fronteira que representa a criação de uma corda fechada acoplada a qualquer estado de corda fechada da D-brana.</span></span></span></b></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Assim, tanto o campo de calibre do fóton como do táquion, representam estado importantes no espectro das cordas abertas. O campo taquiônico surge em razão do término das cordas abertas na D-brana e devido aos últimos pontos fora da instabilidade da D-brana.</span></span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Estas são de fato flutuações ao longo do volume do mundo da D-brana, enquanto a D-brana, por si é um objeto dinâmico, que pode ser influenciado também por flutuaçoes transversas (campos escalares que representam a velocidade da brana).</span></span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Já a D-antibrana é o antiobjeto que aniquilará a D-brana em uma colisão. O sistema
se tornará um vácuo verdadeiro quando a aniquilação for completa. </span></span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;"><span style="mso-spacerun: yes;">Assim, devido a influência dos táquions, uma D-brana instável decai a configurações de dimensões menores , que pode ser entendido como a condensação de táquions. A densidade de energia negativa do potencial dos táquions em seu ponto de mínimo, cancela a tensão da D-brana, sendo o produto final um vácuo sem a D-brana ou estável, com D-branas de baixa dimensão.</span></span></span></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5j_WBHfMt6wtlXUofoxYEf0xixly9QzhoxYnr1QyrFpZtUMgcs92NQFikiPdr1m5DY07dlzfw3I5S7iLq8p7UNYBc0kvfNjSFv8HS9esqbrCjpIdFx4gwEXwV5oga3-qdzDMjJRpkwJY/s1600/Brane-Collision_C0768CAB-D275-5E90-5C17BC8DC67321CC.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="364" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5j_WBHfMt6wtlXUofoxYEf0xixly9QzhoxYnr1QyrFpZtUMgcs92NQFikiPdr1m5DY07dlzfw3I5S7iLq8p7UNYBc0kvfNjSFv8HS9esqbrCjpIdFx4gwEXwV5oga3-qdzDMjJRpkwJY/s400/Brane-Collision_C0768CAB-D275-5E90-5C17BC8DC67321CC.jpg" width="400" /></a></div>
</div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">A
condensação de táquions se aplica a cosmologia das branas na qual supõe-se que as
transições de fase no início do universo, ocorreram como resultado do choque <span style="mso-spacerun: yes;"> </span>entre branas.</span></span><br />
<br />
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">Este é o <a href="http://cr4.globalspec.com/blogentry/15640/Colliding-Branes-Cosmic-Model">modelo equipirótico de universo</a>, proposto por Neil Turok e Paul Steinhardt, que diz que o universo não começou de uma singularidade, mas da colisão de duas branas. </span></span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span></div>
<div style="text-align: justify;">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZPyVJ0eTeCgVI-tjw9zMp2IDCtJCHot8TUG71YMBjjZbywpc6YTb9TkHmvMdEo8_e6zQvpF9PshcQItvC2uxuehVvdKczLbqKjHTK4WVxRtEQPNU_DC0SAcsgq519c16iaNbQ5qXcKLU/s1600/collision.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="121" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZPyVJ0eTeCgVI-tjw9zMp2IDCtJCHot8TUG71YMBjjZbywpc6YTb9TkHmvMdEo8_e6zQvpF9PshcQItvC2uxuehVvdKczLbqKjHTK4WVxRtEQPNU_DC0SAcsgq519c16iaNbQ5qXcKLU/s400/collision.jpg" width="400" /></a></div>
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"> </span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">Assim,
a condensação de táquions formou branas de baixa dimensão, a partir dessa
colisão que corresponde a nucleação das cordas cósmicas devido às transições de
fase acompanhada spela quebra espontanea de simetria (QES), o que explica a
formação de defeitos topológicos devido a QES nos primórdios do universo.</span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">Este é
o <a href="http://www.damtp.cam.ac.uk/research/gr/public/cs_top.html">mecanismo
de Kibble -Zurek</a>, testado em laboratório no estudo da matéria condensada.
Quanto a sua aplicação à aniquilação das branas, não está claro, uma vez que
não se sabe qual a influência das dimensões extras na dinâmica de ordenação de
fases (ex. distância ou velocidade entre duas branas e sua deformação nas
dimensões espaciais extras).</span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><b><br /></b><br />
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</b><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">A condensação de táquions</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">está estreitamente relacionada com</span> <span class="hps">as
transições</span> <span class="hps">de fase</span> <span class="hps">de segunda
ordem</span>.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Transições</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">de fase</span> <span class="hps">de segunda ordem</span> <span class="hps">são também chamadas</span> ou <span class="hps">transições de fase</span>
<span class="hps">contínuas, são caracterizadas por</span> <span class="hps">uma
susceptibilidade</span> <span class="hps">divergente,</span> por <span class="hps">um</span>
<span class="hps">comprimento de correlação</span> <span class="hps">infinita, e</span>
por um decaimento da <span class="hps">lei de potência</span> <span class="hps">de
correlações a pontos</span> <span class="hps">próximos à criticalidade.</span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Exemplos de</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">transições</span> <span class="hps">de fase</span> <span class="hps">de
segunda ordem</span> <span class="hps">são: a transição</span> <span class="hps">ferromagnética,</span><span style="mso-spacerun: yes;"> </span>a de <span class="hps">supercondutor</span> <span class="hps">(incluído o calor latente</span>,<span class="hps"> quando</span> <span class="hps">no campo magnético</span>) e a transição de <span class="hps">superfluido (aqueles
que se comportam como se tivessem viscosidade nula).</span> <span class="hps"> </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"><span class="hps">Lev</span>
<span class="hps">Landau</span> <span class="hps">concebeu uma</span> <span class="hps">teoria fenomenológica</span> <span class="hps">das transições de fase</span>
<span class="hps">de segunda ordem</span>. </span><span lang="PT" style="mso-ansi-language: PT;">Nesta
teoria Landau (</span><a href="http://lamp.tu-graz.ac.at/~hadley/ss2/landau/second_order.php"><span lang="PT" style="mso-ansi-language: PT;">aqui</span></a><span lang="PT" style="mso-ansi-language: PT;"> e </span><a href="http://www.pma.caltech.edu/~mcc/Ph127/b/Lecture6.pdf"><span lang="PT" style="mso-ansi-language: PT;">aqui</span></a>) estabeleceu duas condições:</span></div>
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"></span></span><br />
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<b><span style="color: #cc0000;"><span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">A
energia livre é analítica e obedece a simetria hamiltoniana, onde o
hamiltoniano corresponde à total energia do sistema (energia cinética + energia
potencial), que nada mais é que a transformação de Legendre para o lagrangeano.
Assim, para o primeiro hamiltoniano, a força é traduzida como o gradiente
negativo da energia potencial. Para o segundo hamiltoniano, a velocidade da
partícula é igual a derivada de sua energia cinética, considerando-se o seu
momento dividido pela massa.</span></span></span></b></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"> <span style="color: #38761d;"><b><span class="hps">A</span> <span class="hps">condensação</span> de táquions <span class="hps">é um processo no</span> <span class="hps">qual um</span> <span class="hps">campo</span> taquiônico, <span class="hps">geralmente</span> <span class="hps">um</span> <span class="hps">campo escalar,</span> <span class="hps">com</span>
<span class="hps">uma massa</span> <span class="hps">complexa,</span> <span class="hps">adquire um</span> <span class="hps">valor esperado</span> <span class="hps">de vácuo</span> <span class="hps">e atinge o</span> <span class="hps">mínimo
de</span> <span class="hps">energia potencial</span>.</b> </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Na</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">teoria quântica de campos</span> <span class="hps">o valor esperado</span>
<span class="hps">de vácuo (</span>também chamado de <span class="hps">condensado</span>
<span class="hps">ou simplesmente</span> <span class="hps">VEV</span>) de um operador
<span class="hps">é o seu valor</span> médio <span class="hps">esperado no</span> <span class="hps">vácuo.</span></span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"><br />
<span class="hps">Um dos</span> <span class="hps">exemplos mais conhecidos de</span>
<span class="hps">um efeito observável</span> <span class="hps">físico</span> <span class="hps">que resulta do</span> <span class="hps">valor médio esperado</span> <span class="hps">de vácuo</span> <span class="hps">de um operador</span> <span class="hps">é o efeito</span> <span class="hps">Casimir. Este O conceito de valor</span>
médio <span class="hps">esperado no</span> <span class="hps">vácuo<span style="mso-spacerun: yes;"> </span>é importante</span> <span class="hps">para trabalhar
com</span> <span class="hps">funções de correlação</span> <span class="hps">em</span>
<span class="hps">teoria quântica de campos</span>. <span class="hps">É também</span>
<span class="hps">importante na</span> <span class="hps">quebra espontânea de
simetria</span>.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">Exemplos
para tal são: O campo de Higgs, o condensado quiral e o condensado de glúons em
cromodinâmica quântica. </span></span></div>
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<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">Vale dizer
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transição de fase durante os estágios iniciais do universo. Estas configurações
em seu original (fase antiga), eram simétricas, mas, no entanto, persistiram
após a transição de fase para o assimétrico (fase nova) ser completada. Há
inúmeros tipos de defeito como paredes de domínio, cordas cósmicas, monopolos,
texturas e seus hibridos.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">O tipo
de defeito formado depende das propriedades de simetria da matéria e da
natureza da transição de fase.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="font-size: 12pt;">Por exemplo, em uma teoria com dois mínimos, (+ positivo
e negativo -), ocorre que as regiões vizinhas, separadas por mais de uma
fronteira tenderá a cair aleatoriamente em diferentes estados. Interpolando-se entre
estes dois mínimos diferentes, haverá uma parede de domínio.</span><span style="font-size: 12pt;"></span></span></div>
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<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps">As c</span><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">ordas cósmicas</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">surgirão em</span> <span class="hps">teorias</span> <span class="hps">um pouco mais</span> <span class="hps">complicadas</span>
<span class="hps">em que os</span> <span class="hps">estados de energia</span> <span class="hps">mínimos</span> <span class="hps">possuem</span> <span class="hps">`buracos
'</span>. <span class="hps">As cordas</span> <span class="hps">vão simplesmente</span>
<span class="hps">corresponder a</span> <span class="hps">“e</span>nrolamentos<span class="hps"> não triviais”</span> <span class="hps">em torno destes</span> <span class="hps">furos (</span>como ilustrado <span class="hps">a seguir).</span></span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2muxzvtZggeeDF8kCCrC0Ata0PNVg40E3z6MwvBnherIwLDWRonQCD7g0frgPdvAraW_-L_hilIj584BF5C2WBRnxWSqdl0ZNm4rs671cNtxMD1o_lgcq_myP9jstVeLFmLMR9yEsC5M/s1600/cs_strings_kibble.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="247" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2muxzvtZggeeDF8kCCrC0Ata0PNVg40E3z6MwvBnherIwLDWRonQCD7g0frgPdvAraW_-L_hilIj584BF5C2WBRnxWSqdl0ZNm4rs671cNtxMD1o_lgcq_myP9jstVeLFmLMR9yEsC5M/s400/cs_strings_kibble.gif" width="400" /></a></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><span style="font-family: Arial,Helvetica,sans-serif;"> </span><span style="font-family: Arial,Helvetica,sans-serif;"><br /></span></span></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">
</span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Enquanto o campo</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">é</span> <span class="hps">taquiônico</span> <span class="hps">(</span>e
instável) e se encontra <span class="hps">próximo</span> <span class="hps">do ponto
original de máximo local de</span> <span class="hps">potencial,</span> <span class="hps">ele assume</span> <span class="hps">uma massa</span> <span class="hps">não-negativa</span>
<span class="hps">ao quadrado (</span>e se torna <span class="hps">estável</span>) próximo
a um <span class="hps">mínimo.</span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;">Como
já visrto anteriormente, os <span class="hps">táquions</span> <span class="hps">são
um problema</span> <span class="hps">potencialmente grave</span> <span class="hps">para
qualquer</span> <span class="hps">teoria</span>.</span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"><span style="mso-spacerun: yes;"> </span>Os exemplos <span class="hps">de campos</span> <span class="hps">taquiônicos</span> <span class="hps">passíveis de</span> <span class="hps">condensação</span> <span class="hps">são</span> <span class="hps">todos
os casos de</span> <span class="hps">ruptura</span> <span class="hps">espontânea de
simetria.</span> <span class="hps">Em física</span> <span class="hps">da matéria
condensada</span> <span class="hps">um exemplo notável é</span> <span class="hps">ferromagnetismo</span>,
em <span class="hps">física de partículas</span> <span class="hps">o exemplo mais
conhecido</span> <span class="hps">é</span> <span class="hps">o mecanismo de Higgs</span>
<span class="hps">no modelo</span> <span class="hps">padrão que</span> <span class="hps">quebra a simetria</span> <span class="hps">eletrofraca.</span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">A condensação de táquions leva todo o sistema à estabilidade, onde os
táquions não mais existirão. O campo de valor zero representará um ponto de
máximo, enquanto um ponto de valor infinito representará um ponto de mínimo de
sua energia potencial. </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Assim, de acordo com <a href="http://arxiv.org/pdf/hep-th/0105054v5.pdf"><i>Closed string tachyon condensation and the on-shell effective action of open string tachyons</i></a>, uma D-brana instável decairá completamente quando os táquions de corda aberta, a ela pertencentes, se condensarem por completo. assimo setor de corda aberta desaparecerá, após a condensação de táquions. Restará apenas aquele de cordas fechadas. </span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Qualquer flutuação quantica levará o sistema a decair de
forma exponencial até o mínimo, aumentando suas amplitudes. Ao ser atingido o
mínimo potencial, não mais haverá táquions, mas partículas de massa quadrada
positiva, como os bósons de Higgs.</span></span></span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-family: ""serif"","serif";"> <span style="font-family: Arial,Helvetica,sans-serif;">
Isso se parece muito com o que ocorre no condensado de Bose-Einstein (</span></span><a href="http://en.wikipedia.org/wiki/Bose%E2%80%93Einstein_condensate">aqui</a>, <a href="http://www.stanford.edu/~rsasaki/AP389/AP389_chap3.pdf">aqui</a>, <a href="http://www.pnas.org/content/110/8/2735.full.pdf+html">aqui</a> e <a href="http://arxiv.org/pdf/1105.4992.pdf">aqui</a>) onde os efeitos quânticos se tornam visíveis em escala
macroscópica.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-family: ""serif"","serif";">Em </span><i style="mso-bidi-font-style: normal;"><span lang="EN-US" style="font-family: ""serif"","serif"; mso-ansi-language: EN-US;"><a href="http://arxiv.org/pdf/1211.3952v1.pdf"><span lang="PT-BR" style="mso-ansi-language: PT-BR;">Tachyon condensation and brane annihilation in Bose-Einstein
condensates: Spontaneous simmetry breaking in restricted lower-dimensional
subspace</span></a></span></i><span style="font-family: ""serif"","serif";">, </span><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">recentemente,</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">mostrou-se que</span> <span class="hps">as formações</span> <span class="hps">de vórtice</span> <span class="hps">por meio da</span> <span class="hps">aniquilação</span> do <span class="hps">par de paredes</span> <span class="hps">de domínio em</span> <span class="hps">dois componentes</span> do condensado de <span class="hps">Bose</span>-Einstein
<span class="hps">(</span>CBE), em <span class="hps">três dimensões,</span> <span class="hps">são considerados como</span> <span class="hps">formações</span> de <span class="hps">torção</span> <span class="hps">no campo</span> <span class="hps">taquiônico
definidas no espaço de duas dimensões (2D) projetado</span>, como se mostra <span class="hps">esquematicamente</span> <span class="hps">abaixo:</span></span></span></div>
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<img alt="" height="175" 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<w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
DefSemiHidden="true" DefQFormat="false" DefPriority="99"
LatentStyleCount="267">
<w:LsdException Locked="false" Priority="0" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
<w:LsdException Locked="false" Priority="9" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
<w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
<w:LsdException Locked="false" Priority="39" Name="toc 1"/>
<w:LsdException Locked="false" Priority="39" Name="toc 2"/>
<w:LsdException Locked="false" Priority="39" Name="toc 3"/>
<w:LsdException Locked="false" Priority="39" Name="toc 4"/>
<w:LsdException Locked="false" Priority="39" Name="toc 5"/>
<w:LsdException Locked="false" Priority="39" Name="toc 6"/>
<w:LsdException Locked="false" Priority="39" Name="toc 7"/>
<w:LsdException Locked="false" Priority="39" Name="toc 8"/>
<w:LsdException Locked="false" Priority="39" Name="toc 9"/>
<w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
<w:LsdException Locked="false" Priority="10" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" Priority="11" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" Priority="22" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" SemiHidden="false"
UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" Priority="59" SemiHidden="false"
UnhideWhenUsed="false" Name="Table Grid"/>
<w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="false"
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<w:LsdException Locked="false" Priority="60" SemiHidden="false"
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<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Grid 2"/>
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UnhideWhenUsed="false" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" SemiHidden="false"
UnhideWhenUsed="false" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" SemiHidden="false"
UnhideWhenUsed="false" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" SemiHidden="false"
UnhideWhenUsed="false" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" SemiHidden="false"
UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" SemiHidden="false"
UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
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<![endif]--><span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Até o momento de nosso conhecimento</span></span><span lang="PT" style="mso-ansi-language: PT;">, este sistema é <span class="hps">o primeiro
exemplo de</span> <span class="hps">fenômenos</span> <span class="hps">subespaciais
de QES</span> <span class="hps">em</span> <span class="hps">sistemas de</span> <span class="hps">matéria condensada.</span></span></span></div>
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="mso-ansi-language: PT;"><span class="hps"> </span> </span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">No sistema dado</span></span><span lang="PT" style="mso-ansi-language: PT;">,
podemos abordar <span class="hps">a dinâmica não linear de</span> <span class="hps">aniquilação</span> <span class="hps">de branas</span>, tais como a <span class="hps">nucleação</span> de <span class="hps">defeito e a</span> <span class="hps">fase posterior</span> de <span class="hps">ordenação dinamica </span><span style="mso-spacerun: yes;"> </span><span class="hps">efetiva</span>, o que <span class="hps">é muito difícil, no campo da</span> <span class="hps">teoria de cordas e</span>
da <span class="hps">cosmologia de</span> <span class="hps">branas.</span></span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
<div style="text-align: justify;">
<br /></div>
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<div style="text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps"><span lang="PT" style="mso-ansi-language: PT;">Ao considerarmos</span></span><span lang="PT" style="mso-ansi-language: PT;"> <span class="hps">dois componentes</span> <span class="hps">CBE</span>, que <span class="hps">consistem de</span> <span class="hps">condensações de</span> <span class="hps">duas partículas</span> <span class="hps">distinguíveis</span> <span class="hps">Bose, estes dois componentes</span> <span class="hps">estão bem
descritos</span> <span class="hps">pela</span> função <span class="hps">macroscópica
de onda</span> <span class="hps">como dois</span> <span class="hps">parâmetros de
ordem</span> <span class="hps">complexos,</span> <span class="hps">Y1</span> <span class="hps">and Y2</span>, <span class="hps">no modelo de</span> <span class="hps">Gross-</span>Pitaevskii
<span class="hps">em temperatura zero.</span></span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
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<br /></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
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<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="font-size: 12pt;">As formações de vórtice por meio da aniquilação do par de
paredes de domínio em dois componentes CBE são consideradas como formações de torção
na teoria de campo taquiônica efetiva do sistema projetado-2D.<br />
<br />
O potencial do táquion é caracterizado pela distância interbranas inicial
e a diferença de fase entre os dois volumes separados pelo par de branas.<br />
<br />
No sistema proposto, 2D, a distância inter-membrana e a diferença de
fase desempenham os papéis da temperatura e campo externo em sistemas ferromagnéticos,
respectivamente.</span></span></div>
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<![endif]--><span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="font-size: 12pt;"><a href="http://arxiv.org/pdf/hep-th/0512062v2.pdf">Vórtons</a> (</span><span class="hps">laço da
hipotética <span style="mso-spacerun: yes;"> </span>corda</span> <span class="hps">cósmica</span> <span class="hps">circular</span>, que é <span class="hps">estabilizado pelo</span> <span class="hps">momento angular</span> <span class="hps">da carga</span> <span class="hps">e da corrente</span> <span class="hps">presa</span>
<span class="hps">na respecticva corda</span><span lang="PT" style="font-size: 12pt;">) podem ser nucleados via <span style="mso-spacerun: yes;"> </span>aniquilação de uma membrana e uma membrana com
anti-vórtices em formação de ponte. O fenômeno em tela pode ser monitorado em
sistemas de átomos submetidos a frio extremo.</span></span></div>
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<br /></div>
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<div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="font-size: 12pt;">O diagrama acima representa a vormação de vórtons pela aniquilação de branas por emio de ponte vortical. as setas sólidas e pontilhadas representam as direções das correntes do superfluido, das componentes Y1 e Y2, respectivamente.</span></span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span lang="PT" style="font-size: 12pt;">Os átomos atingem estados quânticos baixos revelando os
estados quânticos em escalas macroscópicas, o que permite visualizar
diretamente a estrutura de domínio do campo taquiônico, observando-se a
densidade de esgotamento em Y1, devido aos vórtices na parte central da núvem
atômica.</span></span></div>
<span style="font-family: Arial,Helvetica,sans-serif;">
</span><br />
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</span><br />
<div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span class="hps">Com, isso,</span> <span class="hps">futuros
experimentos</span> podem <span class="hps">revelar,</span> <span class="hps">por
exemplo, como</span> <span class="hps"><span style="mso-spacerun: yes;"> </span>flutuações
quântica e térmicas</span> <span class="hps">influenciam</span> n<span class="hps">as
formações</span> <span class="hps">de defeitos</span> <span class="hps">e nas
dinâmicas</span> <span class="hps">de relaxamento</span> <span class="hps">do
sistema de</span> <span class="hps">projeção</span> <span class="hps">2D,</span> <span class="hps">além da teoria</span> <span class="hps">de campo médio</span>. Isto poderá
ser <span class="hps">útil para estabelecer</span> <span class="hps">o fenômeno</span>
<span class="hps">que ocorre em uma</span> <span class="hps">QES, num subespaço restrito
de dimensões menores.</span></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: 0.0001pt; text-align: justify;">
<br /></div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com4tag:blogger.com,1999:blog-8827017589495907464.post-91202424165845834862013-03-26T17:30:00.000-03:002013-03-30T12:38:02.316-03:00O UNIVERSO DOS TÁQUIONS - Parte 4<br />
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<br />
<div align="center" style="text-align: center;">
<b>O CAMPO TAQUIÔNICO</b></div>
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<br /></div>
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<br />
<div style="text-align: justify; text-justify: inter-ideograph;">
Conforme o trabalho
denominado “<a href="http://www.mathem.pub.ro/apps/v11/A11-am.pdf">The
stability of tachyonic system by factorization method</a>”, teoria das branas é
uma boa candidata ao problema fundamental da física de alta energia, sendo que sua
formulação, em termos de uma única e infinita dimensão extra, tem um papel importante
para esta disciplina.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O cenário das branas
começa a partir do espaço-tempo em 5ª dimensão, a partir do espaço anti – de Sitter
(AdS5), com geometria deformada, o que na teoria das branas é descrito por uma
função real única, dependente de uma única coordenada na dimensão extra.
Também, a presença de <a href="http://en.wikipedia.org/wiki/Scalar_field">campos
escalares</a> (que associa um valor escalar a qualquer ponto do espaço) para
uma estabilização fraca da brana depende apenas dessa dimensão extra.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicnKdYKepOkhgvn-PQVk0m3jLxs0yQjyRpHmr31lG4Td-dX4m4ssSLekI825Z-oOcsq1ubpGdLxP2ZoDSxWTvvFhuzraojmX6OrXNwj-auH10vP6IzDjtjgwTX_yqVsr9ctUPIzMLdu2c/s1600/AdSCFT.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="243" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicnKdYKepOkhgvn-PQVk0m3jLxs0yQjyRpHmr31lG4Td-dX4m4ssSLekI825Z-oOcsq1ubpGdLxP2ZoDSxWTvvFhuzraojmX6OrXNwj-auH10vP6IzDjtjgwTX_yqVsr9ctUPIzMLdu2c/s400/AdSCFT.jpg" width="400" /></a></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O espaço “n”
dimensional <a href="http://en.wikipedia.org/wiki/Anti_de_Sitter_space">anti-de
Sitter</a> (e <a href="http://arxiv.org/pdf/1110.1206v1.pdf">aqui</a>) é uma <a href="http://en.wikipedia.org/wiki/Lorentzian_manifold#Lorentzian_manifold">variedade
de Lorentz</a> maximamente simétrica, com uma curvatura escalar constante e
negativa. É o equivalente Lorentziano do <a href="http://en.wikipedia.org/wiki/Hyperbolic_space">espaço hiperbólico</a> “n”
dimensional, como o <a href="http://en.wikipedia.org/wiki/Minkowski_space">espaço
de Minkowski</a> (ver <a href="http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf">aqui</a>) e
o <a href="http://en.wikipedia.org/wiki/De_Sitter_space">espaço de de Sitter</a>
são os análogos do <a href="http://en.wikipedia.org/wiki/Euclidian_space">espaço
euclidiano</a> e do <a href="http://en.wikipedia.org/wiki/Elliptical_space">espaço
elípticos</a>, respectivamente.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
As variedades de
Lorentz são um caso importante das <a href="http://en.wikipedia.org/wiki/Pseudo-Riemannian_manifold">pseudo-variedades
de Riemann</a>. Estas são generalizações das <a href="http://en.wikipedia.org/wiki/Riemannian_manifold">variedades de Riemann</a>
- variedade diferenciável real na qual cada espaço tangente apresenta um produto
interior, de maneira que varie suavemente ponto a ponto, o que permite a
definição de diversas noções métricas (áreas, volumes, curvaturas, gradientes
de função).</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXQjkpO-DFK5Wjhbk6gsCTj1uGu3FcRkMtOND4SMI_Z3pxPGIXH5kARPxqRLrDbx-_uGp326JaY1GH9bzqGHvvbYzVQWLIbORKBVJacTEWcFdKZLSlRiuvC0pv-gNVHJyeIEC0vr5sDZw/s1600/Pseudo-RiemannianManifoldwithLorentzianSubmanifolds15cm150dpi.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="223" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXQjkpO-DFK5Wjhbk6gsCTj1uGu3FcRkMtOND4SMI_Z3pxPGIXH5kARPxqRLrDbx-_uGp326JaY1GH9bzqGHvvbYzVQWLIbORKBVJacTEWcFdKZLSlRiuvC0pv-gNVHJyeIEC0vr5sDZw/s400/Pseudo-RiemannianManifoldwithLorentzianSubmanifolds15cm150dpi.jpg" width="400" /></a></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
As variedades de
Lorentz são muito importantes, pois se aplicam na teoria da relatividade geral,
uma vez que, nesta teoria, o espaço-tempo é modelado em variedades de Lorentz
com quatro dimensões, com assinatura (3,1) ou equivalente (1,3).</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Ao contrário das
variedades de Riemann, apenas definidas com métricas positivas, as assinaturas
da variedade de Lorentz permitem que vetores tangentes sejam classificados como
de tempo, de espaço ou nulos. Isso implica nas variações das <a href="http://en.wikipedia.org/wiki/Causal_structure">relações causais</a> entre
pontos, interpretadas como quais eventos no espaço-tempo podem influenciar
outros eventos.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Nesses termos, o
espaço anti-de Sitter, na linguagem da <a href="http://en.wikipedia.org/wiki/General_relativity_theory">teoria da
relatividade geral</a>, é a solução maximamente simétrica do vácuo da equação
de campo de Einstein, com uma constante cosmológica negativa (atrativa) que
corresponde a uma densidade deenergia de vácuo negativa e uma pressão positiva.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O modelo padrão
cosmológico descreve a gravidade padrão, a partir de uma <a href="http://en.wikipedia.org/wiki/Scalar_curvature">curvatura escalar</a> R (a
curvatura invariante das variações de Riemann), como uma constante cosmológica
e como matéria não do modo relativístico.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
A curvatura escalar é
representada por um número real determinado pela geometria intrínseca da variação
próxima ao ponto. A curvatura escalar representa a quantidade, a partir da qual
o volume de uma <a href="http://en.wikipedia.org/wiki/Geodesic">geodésica</a>
numa variação de Riemann curvada se desvia de uma esfera no espaço euclidiano.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Recentemente o
modelo do mundo das branas tem sido descrito por um campo escalar de táquions
em cinco dimensões de espaço-tempo com a geometria AdS5. Isso implica que os
táquions poderiam ter um importante papel na cosmologia, a despeito do fato de
seu campo ser instável. </div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Os táquions poderiam
atuar como uma fonte de matéria escura e levarem a um período de inflação que
depende de da forma com que associa ao seu potencial no cenário das branas.<br />
<br />
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<br />
<div style="text-align: justify; text-justify: inter-ideograph;">
Na verdade, tem sido
proposto que os táquions sejam como uma fonte de energia escura, para uma
determinada classe de potenciais, como o potencial taquiônico exponencial.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
A expansão do
universo, nos dias atuais, foi confirmada pelas recentes medidas de relações de
luminosidade e de desvio para o vermelho a partir das supernovas tipo I-A, que
demonstraram que o universo está se expandindo de modo acelerado. Para uma
melhor compreensão, consultar o trabalho “<span lang="EN-US" style="mso-ansi-language: EN-US;"><a href="http://www.sbfisica.org.br/bjp/files/v39_86.pdf"><span lang="PT-BR" style="mso-ansi-language: PT-BR;">Tachyonic Field interacting with
scalar (phantom) Field</span></a></span>”.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Tal fato deu origem
a um grande número de modelos de energia escura, que se supõe ser a responsável
pela expansão do universo, uma vez que se pode calcular que ela representa em
torno de 70% da matéria/energia do universo.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Estes modelos de
energia escura envolvem um ou mais campos escalares com muitas ações ou com ou
sem potencial de campo escalar.A relação entre a pressão e a densidade de
energia relativa a energia (w) escura parece estar perto de -1 (-1,62 < w
< -0,72).</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O decaimento de uma
D-brana instável produz uma pressão negativa de gás com densidade de energia
finita que se assemelha a de poeira. Os efeitos cosmológicos dos táquions ao
seu estado mais estável, associados as D-branas instáveis tem uma equação de
estado onde -1 < w < 0. </div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
Dessa forma, os
táquions ao buscarem sua estabilidade, implica em dizer que a expansão do
universo se acelera, sendo que em uma determinada época esse fator de escala
passa por um ponto de inflexão que determina o fim da inflação. Assim, a
matéria taquiônica e seu campo podem ser uma explicação para a inflação, bem
como contribuir para uma explicação da energia e da matéria escuras.</div>
<div style="text-align: justify; text-justify: inter-ideograph;">
<br /></div>
<div style="text-align: justify; text-justify: inter-ideograph;">
O campo taquiônico
tem um potencial com um máximo instável na origem e daí a quase zero à medida
que o campo avança para o infinito, sendo que o campo fantasma (com energia
negativa) foi proposto ser um candidato para a energia escura, uma vez que se
pode admitir a ele pressões negativas. Isso implica que o universo terminará em
um grande rasgo (big rip), o que quer dizer que o universo terá uma duração
finita sendo que todas as suas estruturas se desintegrarão. </div>
</div>
<br />
<div style="text-align: center;">
<span style="color: red;"><b>Mas o que é o campo taquiônico????</b></span></div>
<br />
O campo taquiônico se trata de um campo quântico
escalar com massa imaginária, representativo de uma instabilidade. Esta
instabilidade é descrita como a <a href="http://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking">quebra
espontânea de simetria</a>.<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMOy5DWIznWIJYw0WhfrHPe-mfCmO3skXVWZ8H0Kf3-OK0LqjKPY767s_-tapnpDyU4_0cusHMPG5DbP_qS74UcfqglxSDY1o6gbFe_cYgZqTeGr2sF_wXxxh5JCf3xUVYbD5dXHM2U1w/s1600/a-tachyon-spacewarp1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMOy5DWIznWIJYw0WhfrHPe-mfCmO3skXVWZ8H0Kf3-OK0LqjKPY767s_-tapnpDyU4_0cusHMPG5DbP_qS74UcfqglxSDY1o6gbFe_cYgZqTeGr2sF_wXxxh5JCf3xUVYbD5dXHM2U1w/s400/a-tachyon-spacewarp1.jpg" width="400" /></a></div>
</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">A
quebra espontânea de simetria é um modo de realização da quebra de simetria num
sistema físico, onde as leis subjacentes são invariante sob uma transformação
de simetria, mas o sistema como um todo muda sob tais transformações, em
contraste com a quebra de simetria explícita.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">
</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Trata-se
de um processo espontâneo pelo qual um sistema num estado simétrico termina num
estado assimétrico. Assim se descrevem sistemas onde as equações de movimento
ou a Lagrangiana obedecem certas simetrias, mas as soluções a mais baixas
energias, não apresentam a devida simetria.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Devido
à instabilidade causada pela massa imaginária, qualquer configuração em que uma
ou mais excitações dos campos sejam taquiônicas, elas espontaneamente decaem.
Em alguns casos, esta decomposição termina com uma outra configuração, estável,
sem táquions. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">A
existência desse campo implica a instabilidade do campo de vácuo. O campo
taquiônico é um máximo local em vez de um mínimo local, em se tratando de sua
energia potencial.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Um impulso muito pequeno (que será sempre acontecerá devido a flutuações
quânticas) levará a campo a rolar com amplitudes exponencialmente crescentes, o
que induzirá a condensação de táquions.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
É importante perceber que uma vez que o campo taquiônico atinja o mínimo do
potencial, seus quanta não mais serão táquions, mas assumirão uma massa
quadrada positiva. O bóson de Higgs do modelo padrão da física de partículas é
um exemplo.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
</div>
<div style="text-align: justify;">
Para o<span lang="PT" style="mso-ansi-language: PT;"> bóson de Higgs do Modelo Padrão da física de partículas, sob nenhuma
circunstância, quaisquer excitações se propagarão mais rápido do que a luz. A
presença ou ausência de uma massa taquiônica não tem nenhum efeito sobre a
velocidade máxima no que se refere à emissão de sinais. Tecnicamente,
a massa ao quadrado é a segunda derivada do potencial de eficácia.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Para um campo taquionico a segunda derivada é negativa, o que significa que o
potencial de eficácia é de um máximo local em vez de um mínimo local. Por isso,
esta situação é instável e o campo reduzirá seu potencial.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Por ser a massa ao quadrado um táquion negativa, formalmente eles têm massa
imaginária. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Este é
um caso especial da regra geral, onde partículas massivas instáveis são
formalmente descritas como tendo uma massa complexa, com a parte real sendo sua
massa em sentido usual, e a parte imaginária sendo a taxa de decaimento em
unidades naturais.</span></div>
<div style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"> </span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">No
entanto, na teoria do campo quântico, uma partícula (um "estado de uma
partícula") é aproximadamente definida como um estado que é constante ao
longo do tempo, ou seja, trata-se de um autovalor do Hamiltoniano.</span><br />
<span lang="PT" style="mso-ansi-language: PT;"> </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Uma
partícula instável é um estado que é só aproximadamente constante ao longo do
tempo e, se ela existir tempo suficiente para ser medida, poderá ser
formalmente descrita como tendo uma massa complexa, com a parte real da massa
maior do que a sua parte imaginária.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Se as
partes imaginária e real são da mesma magnitude, isto é interpretado como uma
ressonância, a qual aparece em um processo de espalhamento, em vez de
partículas. Assim, considera-se a partícula como se não existisse tempo suficiente
para ser medida de forma independente do processo de espalhamento.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
No caso de um táquion a parte real da massa é zero, e, consequentemente, o
conceito de uma partícula pode ser atribuído a ele.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Mesmo
para campos quânticos taquônicos, os operadores de campo em espaço separado
como pontos ainda comutam (ou anticomutam), preservando assim o princípio da
causalidade. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Por
razões estreitamente relacionadas, à velocidade máxima de sinais enviados a um
campo taquiônico é estritamente limitada pelo teto a velocidade da luz. Por
esta razão, jamais a informação se move mais depressa do que a luz,
independentemente da presença ou ausência de domínios taquiônicos.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
<br />
Exemplos de campos taquiônicos são todos os casos de ruptura espontânea de
simetria. Em física da matéria condensada um exemplo notável é ferromagnetismo,
em física de partículas o exemplo mais conhecido é o </span><a href="http://en.wikipedia.org/wiki/Higgs_mechanism"><span lang="PT" style="mso-ansi-language: PT;">mecanismo de Higgs</span></a><span lang="PT" style="mso-ansi-language: PT;"> no modelo padrão.</span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhft6sV57Y4g45JljM78joNEJaYR8sQWIrnoUf4ETM96EbAnRQsYjFu-rIS9PYz7WAie92ewG03KY4eqEREPOdSgDYbkJ-0Upx8f-4XUuHFbrYUiGI3iQQ64qEiSawdrb_kGXMdHPbRHkM/s1600/issue10lhcwhy11_large.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="341" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhft6sV57Y4g45JljM78joNEJaYR8sQWIrnoUf4ETM96EbAnRQsYjFu-rIS9PYz7WAie92ewG03KY4eqEREPOdSgDYbkJ-0Upx8f-4XUuHFbrYUiGI3iQQ64qEiSawdrb_kGXMdHPbRHkM/s400/issue10lhcwhy11_large.jpg" width="400" /></a></div>
</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">O
mecanismo de Higgs é um mecanismo de geração de massa das partículas
elementares do </span><a href="http://en.wikipedia.org/wiki/Standard_model"><span lang="PT" style="mso-ansi-language: PT;">modelo padrão</span></a><span lang="PT" style="mso-ansi-language: PT;">. De acordo com esta teoria, as partículas ganham
massa ao interagirem com o campo de Higgs, o qual permeia todo o espaço. </span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBkEv2PNRCX3pp7-QPNM22ZLspj1rE_nkeEUri72DOMyWBWmHKUAKdAKST5-xYlOwrFUQvC98M92MdmzX1-ifu874VcmxBw4vP9rRDLUiSbAx-OQyBkPQEnyHJxccF4h0BneYhL27Ebpw/s1600/Higgs-Potential-lookdown.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="253" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBkEv2PNRCX3pp7-QPNM22ZLspj1rE_nkeEUri72DOMyWBWmHKUAKdAKST5-xYlOwrFUQvC98M92MdmzX1-ifu874VcmxBw4vP9rRDLUiSbAx-OQyBkPQEnyHJxccF4h0BneYhL27Ebpw/s400/Higgs-Potential-lookdown.png" width="400" /></a></div>
<br />
<br />
<span lang="PT" style="mso-ansi-language: PT;">Ou
seja, o mecanismo de Higgs, na teoria de calibre, dota de massa os bósosns de
calibre, atrasvés da absorção dos </span><a href="http://en.wikipedia.org/wiki/Goldstone_boson"><span lang="PT" style="mso-ansi-language: PT;">bósons de Nambu-Goldstone</span></a><span lang="PT" style="mso-ansi-language: PT;"> que surgem a partir da quebra espontânea de
simetria.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"> Estes
bósons são interpretados como excitações de campo na quebra das direções de
simetria no grupo espacial. Não possuem massa caso a quebra espontânea de
simetria não se encontre explicitamente quebrada. Do contrário (em sendo
explicitamente quebrada esta simetria), sua massa assumirá valiores baixos e
serãoo denominados pseudobósons de Nambu-Stone. </span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
O mecanismo de Higgs é parte essencial do modelo padrão, pois se incorpora à </span><a href="http://en.wikipedia.org/wiki/Electroweak_theory"><span lang="PT" style="mso-ansi-language: PT;">teoria eletrofraca de Glashow</span></a><span lang="PT" style="mso-ansi-language: PT;">, dando suia interpretação moderna.</span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVtM8ARdJnQm42-iJS3Ee94l_IKWN2Ugk1HPZdWRPbRyaG276TLMfiSN3Z5sBcwYeMYhFzbZAKQp1i1Ikfjnp-XYxgof4_7rRlLAaqiNZgzowZOCjqGU1I1STvEH-Ls8-IG44oVhfAlpk/s1600/220px-Mecanismo_de_Higgs_PH.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="314" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVtM8ARdJnQm42-iJS3Ee94l_IKWN2Ugk1HPZdWRPbRyaG276TLMfiSN3Z5sBcwYeMYhFzbZAKQp1i1Ikfjnp-XYxgof4_7rRlLAaqiNZgzowZOCjqGU1I1STvEH-Ls8-IG44oVhfAlpk/s320/220px-Mecanismo_de_Higgs_PH.png" width="320" /></a></div>
</div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Para o modelo padrão, a altas temperaturas, a simetria eletrofraca não se
quebra, isto é, tnenhuma partícula elementar possuem massa. A uma temperatura
crítica, o campo de Higgs se torna uma campo taquiônico. A simetria se quebra
espontaneamente por condensação e os bósons Z e W adquirem massa.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Férmions,
como léptons e quarks, no modelo padrão, adquirem massa ao interagirem com o
campo de Higgs, mas não da mesma forma que os bósons de calibre.</span><br />
<br />
<br />
<br />
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<div style="text-align: center;">
<span lang="PT" style="mso-ansi-language: PT;"><b style="mso-bidi-font-weight: normal;"><span style="color: magenta;">OS TÁQUIONS E O UNIVERSO</span></b></span></div>
<span lang="PT" style="mso-ansi-language: PT;">
</span><br />
<div style="text-align: justify;">
<br />
<div style="text-align: center;">
<span lang="PT" style="mso-ansi-language: PT;"><span style="color: lime;"> <b>O início:</b></span></span></div>
<br />
<span lang="PT" style="mso-ansi-language: PT;"> Embora ainda não tenham sido vistos,
espera-se que os táquions sejam produzidos em eventos de alta energia. Isso
implica que os táquions primordiais devem ter sido produzidos no momento do big
bang, quando surgiu o universo.</span></div>
<span lang="PT" style="mso-ansi-language: PT;">
</span>
<br />
<div style="text-align: justify;">
</div>
<span lang="PT" style="mso-ansi-language: PT;">
</span>
<br />
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Em 1976, conforme descrito na New Scientist de 29
de abril, J.V. Narkilar do Tata Institute e E.C.G. Sudarshan da Universidade do
Texas (o idealizador do conceito de táquion) exploraram em conjunto a
possibilidade da producão dos táquions quando do momento do big bang (Monthly
notices Royal Astronomic Society – vol. 175, p. 1065).</span></div>
<span lang="PT" style="mso-ansi-language: PT;">
</span>
<br />
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br /></span></div>
<span lang="PT" style="mso-ansi-language: PT;">
</span>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Eles demonstraram que os táquions se propagam no
espaço em uma direção imutável e, como qualquer partícula, perde momento á
medida que o universo se expande. Entretanto, eles não fazem isso
indefinidamente, uma vez que este momento não poderá cair abaixo de seu limite
de velocidade infinita de massa.</span></div>
<span lang="PT" style="mso-ansi-language: PT;">
<div style="text-align: justify;">
<br /></div>
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</div>
<div style="text-align: justify;">
Dessa forma, alcança-se um tempo quando a
trajetória do táquion volta-se para trás no tempo e aponta para seu momento de
criação. Isso quer dizer que sua existência tem um tempo máximo limite (t<sub>m</sub>),
uma barreira de tempo que ele não pode penetrar, pela qual o tempo viaja uma
certa distância (d<sub>m</sub>). Logo, conforme o diagrama de espaço-tempo do
táquion, ele viajará duas vezes esta distância a partir do fim de sua jornada
de tempo reverso.</div>
<br />
<span lang="PT" style="mso-ansi-language: PT;">
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<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">
</span></div>
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<br /></div>
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<![endif]--></span>Esse comportamento pode ser interpretado ao se
considerar um antitáquion partindo de um tempo t<sub>0</sub>, mas de uma
distância 2r<sub>m </sub>e viajando de volta no espaço à barreira do tempo t<sub>m</sub>,
onde encontra seu número oposto e as duas partículas se aniquillam. A energia das partículas ao cair a zero,
representa que neste momento, a aniquilação é algo suave.</div>
<div style="text-align: justify;">
<br />
A "era da barreira do tempo" será determinada pela massa ou pela energia do táquion. No que se refere aos táquions primordiais,para que eles estivessem por aqui agora, eles deveriam ter uma energia imensa e massas em torno de 10 ^ -14 de um elétron, ou até menos.<br />
<br />
Caso estes "táquions primordiais" ainda existam, então, embora eles não interajam com a matéria comum, eles forneceriam uma "radiação de fundo taquiônica" semelhante à radiação cósmica de fundo, a qual é, por si, um "eco do big bang".<br />
<br />
Mesmo se estes táquions não existirem hoje, eles poderiam ter influenciado a cosmologia do big bang de modo muito significante. O par táquion/antitáquion, produzido no big bang, se correlacionariam uns com os outros, a partir das grandes distâncias presentes no universo (<span style="font-family: Times,"Times New Roman",serif;"><span style="font-size: small;"><span style="line-height: 115%;">2r<sub>m</sub></span></span></span>). Já, a matéria comum, com velocidades subluminais apenas se comunicaria a curtas distâncias.<br />
<br />
Essa interação de longa distância poderia prover a resposta de por que o universo é tão homogêneo e uniforme, e, por que ele tem sido assim desde seus estágios primordiais.<br />
<br />
Além disso, se existirem táquions o suficiente em torno do big bang, então o universo, então ele pode ter começado da forma que começou, porém, sem uma singularidade do espaço-tempo. Esta é a ideia de Narkilar, quem jamais aceitou a cosmologia do big bang por completo. Ele está em busca de alternativas para as singularidades, mesmo para aquelas referentes aos buracos negros.<br />
<span style="color: lime;"><b><br /></b></span>
<br />
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<![endif]-->Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com15tag:blogger.com,1999:blog-8827017589495907464.post-60093913232135696852013-03-26T17:29:00.002-03:002013-03-26T17:29:50.295-03:00O UNIVERSO DOS TÁQUIONS parte 3<div style="text-align: center;">
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</div>
<div style="text-align: center;">
<b><span style="font-family: ""serif"","serif";">A
TEORIA:</span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br />
<span style="font-family: ""serif"","serif";">Tomemos
um gráfico com o momento “p” no eixo “x” e a energia “E” no eixo “y”.
Desenhemos o cone de luz representado pela equação E = ± p, representado pelas
duas linhas amarelas. Nas quatro dimensões do espaço tempo, estas linhas
amarelas representam um "hipercone".</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Estas
duas retas dividirão nosso gráfico nas seguintes regiões: acima e abaixo,
representando os quadrantes do tempo e esquerda e direita, representando os
quadrantes de espaço.</span></div>
<br />
<div style="text-align: justify;">
<br /></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiutG8LPoMI8RLcO-TZsKrj5KBHFmS7qdawrA8faS-6rp8fmmcmOVEjgnFm63pDCY61fwBCbdV_xODBj9cboF_05RzgSI5Yd0jO-ebqXKMROXCSXx9fUCYrC1WihDoTy-H5BJscjS_G9_g/s1600/pe-graph-0.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiutG8LPoMI8RLcO-TZsKrj5KBHFmS7qdawrA8faS-6rp8fmmcmOVEjgnFm63pDCY61fwBCbdV_xODBj9cboF_05RzgSI5Yd0jO-ebqXKMROXCSXx9fUCYrC1WihDoTy-H5BJscjS_G9_g/s400/pe-graph-0.png" width="400" /></a></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
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<div style="text-align: justify;">
Uma das mais famosas equações da teoria da
relatividade afirma que: </div>
<div style="text-align: justify;">
<br /></div>
<br />
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-size: 18.0pt;">E<sup>2</sup> = m<sup>2</sup>c<sup>4</sup> + p<sup>2</sup>c<sup>2</sup></span></b>
</div>
<br />
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Onde:</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: #b45f06;">E = energia;</span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: #b45f06;">m = massa de
repouso;</span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: #b45f06;">p = momento
relativístico;</span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: #b45f06;">c = velocidade da
luz. </span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Assumamos <b>c = 1</b>, o que transforma a
equação dada em:</div>
<div style="text-align: justify;">
<br /></div>
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-size: 18.0pt;"> E<sup>2</sup> = m<sup>2</sup> + p<sup>2</sup></span></b></div>
<br />
<br />
<br />
<div style="text-align: justify;">
A solução gráfica desta equação é a hipérbole
azul demonstrada no gráfico abaixo:</div>
<div style="text-align: justify;">
<br /></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhp-gFne3BPimAVpNCk0WytqAJVNz_UATxtVLezYekLH5ovHuG7gxP9nEOugQrtZsaKRwc5HvbDYmQ3SDuLJnXev-v0mOEFsjlNfW4rkoDyiSRmKFG4ElJmrzOTPc0nr0kdhmuIiaIgmSw/s1600/pe-graph-1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhp-gFne3BPimAVpNCk0WytqAJVNz_UATxtVLezYekLH5ovHuG7gxP9nEOugQrtZsaKRwc5HvbDYmQ3SDuLJnXev-v0mOEFsjlNfW4rkoDyiSRmKFG4ElJmrzOTPc0nr0kdhmuIiaIgmSw/s400/pe-graph-1.png" width="400" /></a></div>
<div style="text-align: justify;">
<br /></div>
<br />
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
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</div>
<span style="font-family: "Times","serif";">Note que a hipérbole cruza o eixo
E em, E = m, o que é consistente com a equação E = m c<sup>2</sup>
quando c = 1, estando a partícula em repouso.</span><br />
<span style="font-family: "Times","serif";"> </span><br />
<br />
<div style="text-align: justify;">
<span style="color: orange;"><b><span lang="PT" style="color: purple; font-family: "Times","serif"; mso-ansi-language: PT;">Partículas pertencentes ao ramo superior são
conhecidos como tárdions ou brádions</span></b></span><span lang="PT" style="font-family: "Times","serif"; mso-ansi-language: PT;"><span style="color: orange;">;</span> são as"partículas lentas", as
quais viajam na velocidade subluminal. Estas incluem os prótons, nêutrons e
elétrons. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span lang="PT" style="color: #38761d; font-family: "Times","serif"; mso-ansi-language: PT;"><span style="color: orange;">Partículas sem massa movem-se sobre o cone
de luz, com a velocidade da luz, e são conhecidos como luxons ou
"partículas de luz"</span></span></b><span lang="PT" style="font-family: "Times","serif"; mso-ansi-language: PT;">. Estas incluem os fótons. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: orange;"><b><span lang="PT" style="color: #0b5394; font-family: "Times","serif"; mso-ansi-language: PT;">Partículas no ramo inferior tem massa
negativa, e são as teóricas “partículas virtuais”</span></b></span><span lang="PT" style="font-family: "Times","serif"; mso-ansi-language: PT;">.</span></div>
<div style="text-align: justify;">
<br /></div>
<br />
<div style="text-align: justify;">
<span style="font-family: "Times","serif";">Tal
ocorre devido ao fato de que a energia e o movimento na mecânica quântica são
operações derivadas do espaço e do tempo, o que faz com que suas transformações
com o distanciamento sejam inversamente proporcionais à duração de tempo e seu
distanciamento relativo.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: "Times","serif";">As
partículas virtuais são vistas como <i>quantas</i>, que criam campos de força
de interações básicas, não podendo ser descritas ao nível de partículas
reais. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: "Times","serif";">Ainda,
tais partículas são meramente teóricas, não existindo evidências diretas de sua
existência, embora descrevam e expliquem certos acontecimentos na física como:
a força de Coulomb, os campos magnéticos, a indução eletromagnética, a força
nuclear forte e a fraca, a emissão espontânea de fótons quando do decaimento de
núcleos e átomos excitados, o efeito Casimir, as forças de Van der Walls, a
radiação de Hawking e o desvio de Lamb.</span></div>
<div style="text-align: justify;">
<br /></div>
<br />
Outra equação relativística famosa é dada por:<br />
<br />
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-size: 18.0pt;"> E = m*(1 - (v/c)<sup>2</sup>)<sup>-½</sup></span></b></div>
<br />
<div style="text-align: justify;">
Partículas teóricas como os táquions, que viajam a velocidades superluminais
possuem <b><span style="color: red;">v > c</span></b>. Portanto, o termo <b><span style="color: #38761d;">(1 - (v/c)<sup>2</sup>)</span></b> será < 0,
o que leva a uma raiz quadrada de número negativo que se trata de um imaginário
(E = m * K i), onde k é uma constante.</div>
<div style="text-align: justify;">
<br /></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjb3VZk2EQ7LPUUgf0LJb8XO2DcgXmzSoSlzn0Iilx6fvimgFRqEvs1buIMH36RZVvKA0zOX-u5FB52DiPVp5FDPc7aLmy9SvEwROYpGikj6cPN5U-k0sMaoZHIOqfwZm56o3D-Zf94nHc/s1600/i_definition.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="364" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjb3VZk2EQ7LPUUgf0LJb8XO2DcgXmzSoSlzn0Iilx6fvimgFRqEvs1buIMH36RZVvKA0zOX-u5FB52DiPVp5FDPc7aLmy9SvEwROYpGikj6cPN5U-k0sMaoZHIOqfwZm56o3D-Zf94nHc/s400/i_definition.gif" width="400" /></a></div>
<br />
<br />
Isso nos diz que a massa “m” é também imaginária (mi). Porém, a energia “E”
não poderá ser imaginária, sendo, portanto, negativa.<br />
<br />
Dessa forma,<br />
<br />
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-size: 18.0pt;">E<sup>2</sup> = m<sup>2</sup> + p<sup>2</sup></span></b></div>
<div align="center" style="text-align: center;">
<br /></div>
<div align="center" style="text-align: center;">
torna-se</div>
<div align="center" style="text-align: center;">
<br /></div>
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-size: 18.0pt;"> p<sup>2</sup> - E<sup>2</sup> = M<sup>2</sup></span></b>,</div>
<br />
onde "M" é real.<br />
<br />
As soluções dessa equação são as hipérboles na região do espaço, dadas no gráfico
que se segue:<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlgQwzGJdEp7xFOEKqUC_msN_KBC6uXmu5OALvPsKoifed7acH76TkwryoGxJjNpMju4IyRNZosSAjkmd7S03f6Jqh3bzS2BDD-v4RjQoioxP8Ew3m7ufnmc5qzLPUJ0wM5nAsuE88HTM/s1600/pe-graph-2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlgQwzGJdEp7xFOEKqUC_msN_KBC6uXmu5OALvPsKoifed7acH76TkwryoGxJjNpMju4IyRNZosSAjkmd7S03f6Jqh3bzS2BDD-v4RjQoioxP8Ew3m7ufnmc5qzLPUJ0wM5nAsuE88HTM/s400/pe-graph-2.png" width="400" /></a></div>
<br />
<br />
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<br />
<span style="font-family: "Times","serif";"> Como E < 0 para os
táquions, a porção rosa das hipérboles representa estas partículas, uma vez que
a energia e o momento de um táquion satisfaz a relação dada acima.</span><br />
<div style="margin-bottom: 12.0pt;">
<span style="font-family: "Times","serif";"><br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: "Times","serif"; mso-ansi-language: PT;">A partir do gráfico, surge propriedades muito interessantes
dos táquions: </span></div>
<div style="text-align: justify;">
<span style="color: #38761d;"><br /></span></div>
<ul type="disc">
<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt; text-align: justify;"><span style="color: #38761d;"><b><span lang="PT" style="color: red; font-family: "Times","serif"; mso-ansi-language: PT;">Ao perderem energia (E torna-se mais
negativo) aumenta a sua dinâmica (p aumenta), contrariamente às partículas
ordinárias.</span></b></span></li>
</ul>
<div style="text-align: justify;">
<ul>
<li><span style="color: #38761d;"><b><span lang="PT" style="color: red; font-family: "Times","serif"; mso-ansi-language: PT;">Táquions com energia zero movem-se
infinitamente rápido, o que tem consequências profundas.</span></b></span></li>
</ul>
</div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Por exemplo, vamos dizer que há táquions eletricamente carregados. Uma vez que
se movem mais rapidamente do que a velocidade da luz no vácuo, eles deverão
produzir radiação Cherenkov.<br />
<br />
Isso diminuiria a sua energia, fazendo com que acelerassem mais!
Em outras palavras, táquions carregados provavelmente levariam a uma reação
descontrolada liberando uma quantidade infinitamente grande de energia. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Isto
sugere que uma teoria sensata acerca do tema, exceto aquela referente a
taquions livres (que não interagem com nada), seria provavelmente muito
difícil.</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Heuristicamente, o problema é que nós podemos chegar a geração espontânea dos
pares táquions/antitáquions e, o que culminaria em uma reação
descontrolada, tornando o vácuo instável. De modo a tratar desse tema, requer-se,
precisamente, uma teoria quântica de campos, o que complicaria muito. (E.
Recami, ed. - North-Holland, Amsterdam, 1978).</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Teoriacamente,
os táquions não seriam inteiramente invisíveis. Caso ocorresse uma reação
nuclear exótica, em sendo eles carregados, seriam detectados pela radiação de
Cherenkov produzida, à medida que aceleracem e se afastassem mais e mais. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">A </span><a href="http://en.wikipedia.org/wiki/Cherenkov_radiation"><span lang="PT" style="mso-ansi-language: PT;">Radiação</span></a><a href="http://en.wikipedia.org/wiki/Cherenkov_radiation"><span lang="PT" style="mso-ansi-language: PT;"> Cherenkov</span></a><span lang="PT" style="mso-ansi-language: PT;"> é a <a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation">radiação</a></span><a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation"><span style="mso-ansi-language: PT;"> </span></a><a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation"><span lang="PT" style="mso-ansi-language: PT;">electromagnética</span></a><span lang="PT" style="mso-ansi-language: PT;"> emitida quando uma partícula carregada passa
através de um meio <a href="http://en.wikipedia.org/wiki/Dielectric">dielétrico</a>,
a uma velocidade maior do que a velocidade de fase da luz naquele meio. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">A
velocidade da luz pode ser bem menor que c quando ela se propaga através de
determinado meio, devido ao <a href="http://en.wikipedia.org/wiki/Refractive_index">índice de refração</a>
destes meios. Este índice é dado por:</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: blue;"><span style="font-size: large;"><b><span lang="PT" style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt; mso-ansi-language: PT;">n = c/v</span></b></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">onde:</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">n = índice de refração;</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">c = velocidade da luz no vácuo;</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">v = velocidade da luz em determinado meio (velocidade de fase).</span></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">O
índice de refração é um adimensional que representa como uma <a href="http://en.wikipedia.org/wiki/Electromagnetic_radiation">radiação eletromagnética</a>
se propaga através de determinado meio. </span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">
</span></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: ""serif"","serif"; mso-ansi-language: PT;">A refração modifica a velocidade de propagação e o
comprimento de onda, mantendo uma proporção direta. A constante de
proporcionalidade é a frequência, que não se altera.</span><span lang="PT" style="mso-ansi-language: PT;"></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="font-family: ""serif"","serif"; mso-ansi-language: PT;">A esta velocidade se denomina de velocidade de fase</span><span lang="PT" style="mso-ansi-language: PT;"> de uma onda, que é a taxa à qual qualquer
componente de fase da onda (um pico ou um vale) se propaga no espaço.</span><br />
<br />
<br />
<span lang="PT" style="mso-ansi-language: PT;"><span style="color: #741b47;"><b>Mas como isso acontece? </b></span></span><br />
<br />
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;">Quando estamos no mundo das microescalas, a velocidade de fase de uma onda eletromagnética é reduzida dentro de um material devido a uma perturbação criada pelo campo elétrico nas cargas de cada átomo, proporcional a susceptibilidade elétrica do meio. Similarmente, o campo magnético cria uma perturbação proporcional à susceptibilidade magnética do meio.</span></span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKqBMDHAc0aHxn_TOkEEmsYBteoSIMAj0PXkfYhyphenhyphenR26z_qS-5NKB9XWPLHufB9HYvmCT1xJCYbZEy9BJzmKs_ORWR24Hj8FyCVoA1DKfYNghS95ixXCHd3E9KTyDcBD6NbNHNIsZ0XRSE/s1600/010160110908-refracao-negativa-metais.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKqBMDHAc0aHxn_TOkEEmsYBteoSIMAj0PXkfYhyphenhyphenR26z_qS-5NKB9XWPLHufB9HYvmCT1xJCYbZEy9BJzmKs_ORWR24Hj8FyCVoA1DKfYNghS95ixXCHd3E9KTyDcBD6NbNHNIsZ0XRSE/s400/010160110908-refracao-negativa-metais.jpg" width="400" /></a></div>
<br />
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span>
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;">Como os campos eletromagnéticos oscilam na onda, as cargas no material serão abaladas para diante e em retrocedencia, na mesma frequência.</span></span><br />
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span>
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;">Dessa forma, as cargas irradiam sua própria onda eletromagnética, em mesma frequência, mas com atraso de fase, devido as cargas se moverem fora desta fase pelas forças que as governam. </span></span><br />
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span>
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;">Assim, a luz que viaja dentro de um material, em nível macroscípico, é dada pela contribuição de todas as superposições dentro do material.</span></span><br />
<br />
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;">A onda original somada às ondas irradiadas por todas as cargas em movimento. Estas ondas serão tipicamente uma onda com a mesma frequência, mas com um comprimento de onda menor que o da onda original, o que a leva ter uma velocidade de fase inferior a da luz no vácuo.</span></span><br />
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span>
<span style="color: #274e13;"><span lang="PT" style="mso-ansi-language: PT;"><br /></span></span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Na
mecânica quântica, as partículas também se comportam como ondas, com fases
complexas. Pela hipótese de Broglie, tem-se:</span></div>
<div style="text-align: justify;">
<br /></div>
<br />
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<span lang="PT" style="mso-ansi-language: PT;">Usando
relações relativísticas para a energia e impulso, temos:</span></div>
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<br />
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Onde:</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"> <b><span style="color: #cc0000;">E = energia total da partícula (isto é, a energia
restante mais energia cinética no sentido cinemática);</span></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;"> p = <a href="http://en.wikipedia.org/wiki/Momentum">momento</a>
relativístico (mais <a href="http://plato.if.usp.br/%7Efma0374d/aula8/aula8.html">aqui</a>); </span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">γ = </span></b><a href="http://en.wikipedia.org/wiki/Lorentz_factor"><b><span lang="PT" style="mso-ansi-language: PT;">fator de Lorentz</span></b></a><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;"> dado por:</span></b></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
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</span></b></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">A
variável v pode ser considerada como sendo a velocidade da partícula, ou a
velocidade de grupo da onda de matéria correspondente. Uma vez que a velocidade
da partícula v < c, para qualquer partícula que tenha massa (de acordo
com a relatividade especial), a velocidade de fase das ondas de matéria
excederão sempre a velocidade c, isto é:</span></div>
<b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;"> </span></b><br />
<div style="text-align: justify;">
<b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;"><br /></span></b></div>
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<br />
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
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<span lang="PT" style="mso-ansi-language: PT;">Como se pode ver, v ao se aproximar de c, ocorre quando a velocidade da
partícula está na faixa relativistica. A velocidade de fase superluminal não
viola a relatividade especial, pois ela não carrega qualquer informação.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">A
velocidade de sinal é aquela em que a onda carrega uma informação, que descreve
o quão rápido a mensagem pode ser comunicada entre duas partes separadas. Esta
velocidade é, normalmente, igual a <a href="http://en.wikipedia.org/wiki/Group_velocity">velocidade de grupo</a> que
é a velocidade de um "impulso" curto ou de um pacote de ondas médio,
denominado "envelope". </span></div>
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<span lang="PT" style="mso-ansi-language: PT;"><br />
<br />
No entanto, em alguns casos especiais (por exemplo, os meios concebidos para
amplificar a parte mais frontal de um impulso e depois atenuar a seção traseira
do impulso, a velocidade de grupo pode exceder a velocidade da luz no vácuo,
enquanto que a velocidade do sinal será ainda menor ou igual à velocidade
da luz no vácuo.</span></div>
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<span lang="PT" style="mso-ansi-language: PT;">
</span></div>
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<span lang="PT" style="mso-ansi-language: PT;">
</span></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">A
frequência é uma grandeza física assentada na ondulatória que mede o número de
ocorrências de um evento, dentro de um espaço de tempo, denominado de período
(tempo para ocorrer uma oscilação completa). Ou seja; a frequência é o inverso
do período e é dada por:</span></div>
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<div style="text-align: justify;">
<b><span style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt;">f = 1/T </span></b></div>
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<br /></div>
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<span lang="PT" style="mso-ansi-language: PT;"> onde:</span></div>
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<br /></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">f = frequencia;</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">T = período. </span></b></span></div>
<div style="text-align: justify;">
<br /></div>
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<br /></div>
<br />
<br />
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</div>
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<b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;"><br /></span></b></div>
<br />
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<div style="text-align: justify;">
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<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"> Assim,
a frequência será dada quando a oscilação sair de um pico ou de um vale para
outro pico ou outrro vale respectivamente.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Logo,
a velocidade da onda será dada por:</span></div>
<div style="text-align: justify;">
<span style="color: blue;"><br /></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="color: blue;"><b><span lang="PT" style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt; mso-ansi-language: PT;">v = x * f</span></b></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">onde:</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">v = velocidade da luz em determinado meio (velocidade de fase).</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">x = comprimento de onda (distância entre dois picos ou dois vales)</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><b><span lang="PT" style="color: #cc0000; mso-ansi-language: PT;">f = frequência.</span></b></span></div>
<div style="text-align: justify;">
<span style="color: #cc0000;"><br /></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">As
partículas carregadas polarizam as moléculas daquele meio, que, em seguida, por
sua vez, volta rapidamente ao seu estado fundamental, emitindo radiação no
processo. O brilho azul característico de reatores nucleares é devido à
radiação Cherenkov.</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6YcAF3LvzLqyVlgekaN56S4jvS8xCowwkuU78dwk-hvbuf9aMUxitdc22RJDCXW9Nuk-C7EzVGdFhR0_OJrRIx5cLj5PJh6vkpoS0rJad53Bm2LZbPT_0_4rZfVVqddcW3ecP-fTBoHY/s1600/cerenkov1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6YcAF3LvzLqyVlgekaN56S4jvS8xCowwkuU78dwk-hvbuf9aMUxitdc22RJDCXW9Nuk-C7EzVGdFhR0_OJrRIx5cLj5PJh6vkpoS0rJad53Bm2LZbPT_0_4rZfVVqddcW3ecP-fTBoHY/s400/cerenkov1.jpg" width="400" /></a></div>
</div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"><br />
Tais experiências foram feitas, mas, até agora, não foram encontrados táquions.
Mesmo táquions neutros podem espalhar a matéria normal com conseqüências
experimentalmente observáveis. Novamente, nenhum táquion foi encontrado.</span></div>
<div style="text-align: justify;">
<br /></div>
<br />
<div style="text-align: justify;">
<br /></div>
<br />
<div style="text-align: justify;">
</div>
Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com0tag:blogger.com,1999:blog-8827017589495907464.post-26588272522363808222013-03-26T17:29:00.001-03:002013-05-09T10:52:24.406-03:00O UNIVERSO DOS TÁQUIONS - parte 2<!--[if gte mso 9]><xml>
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<br />
<div style="margin-bottom: 12pt; text-align: center;">
<b style="mso-bidi-font-weight: normal;">OS TÁQUIONS E A TEORIA DA RELATIVIDADE:</b><br />
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Na
física quântica, a energia que permeia o cosmo é chamada de energia de ponto
zero. Tal energia não possui forma, é mais rápida que a velocidade da luz e
onipresente. Esta forma de energia não possui spin, oscilação ou força
gravitacional.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Esta
forma de energia surge com os trabalhos de Max Planck, que p</span>rocurava
rederivar a expressão para o espectro da energia emitido por um corpo negro, de
um modo diferente do que havia sido feito em 1900.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Logo, no limite de temperatura zero Kelvin, a
energia mínima para um oscilador de Planck não seria zero, mas sim meio
quantum, denominada <a href="http://en.wikipedia.org/wiki/Zero-point_energy">Energia
de Ponto Zero</a>, a mais baixa possível, em termos de Mecânica Quântica, que
um sistema físico pode possuir em seu <a href="http://en.wikipedia.org/wiki/Stationary_state">estado fundamental</a>
(aquele no qual a densidade de probabilidade não varia com o tempo).<br />
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
A energia de vácuo é a energia de ponto zero para
todos os campos no espaço que, no modelo padrão,incluem o campo
eletromagnético, os campos de calibre, os campos fermiônicos e o campo de
Higgs.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
É a energia de vácuo que, na teoria quântica de
campos, não se define como o espaço vazio, mas como o mais baixo estado dos
campos, ou seja, é a mais baixa energia de um campo. Na cosmologia, a energia
de vácuo é uma possível explicação para a constante cosmológica.<br />
<br />
Esta energia é a responsável pelo <a href="http://en.wikipedia.org/wiki/Casimir_effect">efeito Casimir</a>, causa o pelas flutuações do vácuo no espaço vazio, que se trata da formação de pares de partículas virtuais/antipartículas virtuais que continuamente se formam do vácuo e retornam para o vácuo.<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWqFvXB7GD7lOHTLMy_LmOUEKDI2rHrR2Dk56R39pNBxGJc8a3kvvNvWQQCQvh2uR_dpVV4ZIJ-QEKOns4tIIVjK197McMGEYjl46kMZnQ_KoXF84rHNErvJxvzYrfskfg78CBG9EGLQs/s1600/Casimir_plates.svg.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWqFvXB7GD7lOHTLMy_LmOUEKDI2rHrR2Dk56R39pNBxGJc8a3kvvNvWQQCQvh2uR_dpVV4ZIJ-QEKOns4tIIVjK197McMGEYjl46kMZnQ_KoXF84rHNErvJxvzYrfskfg78CBG9EGLQs/s400/Casimir_plates.svg.png" width="391" /></a></div>
<br />
<br />
<br />
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<br />
<div style="text-align: justify;">
À velocidade da luz todos os tipos de coisas
estranhas acontecem. Comprimentos se contraem, o tempo flui mais lento, as
massas aumentam e quanto mais energia o sistema recebe, mais veloz ele fluirá. </div>
<div style="text-align: justify;">
<br /></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD3PXTPBS1OouTH8V83e-Po0gGJky6c7mEmq26WVmnq7PbtvXq7c2EUeW-tPIRKQvnDxpQjvCaLW4lcG1ldB2xRQoZAhhmLt21Ad9dhvy0SJbgrolDHqTGje7eHqe7Yfq64Mi-ZspKXAs/s1600/light+speed.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="145" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD3PXTPBS1OouTH8V83e-Po0gGJky6c7mEmq26WVmnq7PbtvXq7c2EUeW-tPIRKQvnDxpQjvCaLW4lcG1ldB2xRQoZAhhmLt21Ad9dhvy0SJbgrolDHqTGje7eHqe7Yfq64Mi-ZspKXAs/s400/light+speed.bmp" width="400" /></a></div>
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br />
<span style="font-family: ""serif"","serif";"> </span>Porém, os objetos jamais atingirão a velocidade da luz. Entretanto, eles sempre
verão a velocidade da luz fluir com a velocidade “c”.<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhU4OstezyeF6YZzHrhXIn8YTQQCcWju395Vh6_zo_APl-Lu5kPMxL0rytvpdKIgngUdWn1FOLZScdIbLzlbydb-GqD5NSybiQiigXAddX6t_J_ejsQY3LzVBCUtewJdVBGtny2Rrpo6hk/s1600/train.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="138" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhU4OstezyeF6YZzHrhXIn8YTQQCcWju395Vh6_zo_APl-Lu5kPMxL0rytvpdKIgngUdWn1FOLZScdIbLzlbydb-GqD5NSybiQiigXAddX6t_J_ejsQY3LzVBCUtewJdVBGtny2Rrpo6hk/s400/train.bmp" width="400" /></a></div>
<br />
<br />
<br />
<span style="font-family: ""serif"","serif";">De
acordo com a teoria da relatividade especial, sabe-se que o limite para as
velocidades no universo é dado pela velocidade da luz. Porém, caso algo sempre
tenha viajado a velocidades superiores a da luz, tal hipótese não é proibida
pela relatividade especial.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Já,
uma partícula sem massa, como os fótons, viajará a velocidade da luz e aquelas
que possuem massa viajarão a velocidades subluminais. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Sabemos
pela relatividade que:</span><br />
<br />
<br />
<div style="text-align: center;">
<span style="color: blue;"><span style="font-family: ""serif"","serif";"><span style="font-size: large;"><b>T = T<span style="font-size: small;">0</span></b></span></span></span><b><span style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt;">/ [(1-(v^2/c^2))^(1/2)]</span></b></div>
<div style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9Nvi0x9gsgdJXePlqQMKMLc_2gwFKftq9k5rW3gEcDC8XQXc4M2qOGIBtULRNdusPGude98XNB5SKTJFwLOL9T4CRC5Ga-9PhBW_Go5OFBz9c2eMQUMu1JarRlB8NSIrhnry1sDC6DAI/s1600/relatividade_especial-4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9Nvi0x9gsgdJXePlqQMKMLc_2gwFKftq9k5rW3gEcDC8XQXc4M2qOGIBtULRNdusPGude98XNB5SKTJFwLOL9T4CRC5Ga-9PhBW_Go5OFBz9c2eMQUMu1JarRlB8NSIrhnry1sDC6DAI/s320/relatividade_especial-4.png" width="319" /></a></div>
<div style="text-align: center;">
<br /></div>
<div align="center" style="text-align: center;">
<br /></div>
<div style="text-align: center;">
<span style="font-family: ""serif"","serif";"><span style="font-size: large;"><b><span style="font-size: small;"><span style="font-size: small;"></span></span> </b></span></span></div>
</div>
<div style="text-align: justify;">
<br /></div>
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt;">L = L</span></b><b><span style="color: blue; font-family: ""serif"","serif";">0</span></b><b><span style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt;"> *[(1-(v^2/c^2))^(1/2)]</span></b></div>
<div align="center" style="text-align: center;">
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
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<br />
<br />
<br /></div>
<div align="center" style="text-align: center;">
<span style="font-family: ""serif"","serif";">e</span></div>
<div align="center" style="text-align: center;">
<br /></div>
<div align="center" style="text-align: center;">
<b><span style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt;">M = M</span></b><b><span style="color: blue; font-family: ""serif"","serif";">0</span></b><b><span style="color: blue; font-family: ""serif"","serif"; font-size: 18.0pt;"> / [(1-(v^2/c^2))^(1/2)]</span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<div class="separator" style="clear: both; text-align: center;">
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<br />
Onde:</div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">T = Tempo </span></b><b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">medido por outro observador em outro
referencial;</span></b><br />
<br />
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">T0 = </span></b><b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">Tempo </span></b><b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">medido por </span></b><b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">um observador no mesmo
referencial;</span></b><br />
</div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">L = Comprimento medido por outro observador em outro
referencial;</span></b><br />
<br />
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;"></span></b></div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">L0 = Comprimento medido por um observador no mesmo
referencial;</span></b><br />
</div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">M = Massa medida por outro observador em outro
referencial;</span></b><br />
</div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">M0 = Massa medida por um observador no mesmo referencial;</span></b><br />
</div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">v = velocidade do objeto;</span></b><br />
</div>
<div style="text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span style="color: #c00000;">c = velocidade da luz.</span></b></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">As
implicações disso são que a velocidade da luz, no respectivo referencial em que
a partícula se encontra, teremos dimensões espaciais de zero e massa infinita,
o que seria conseguido somente com uma energia também infinita fornecida para o
corpo.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Todavia,
seria isso realmente real? Em 1962 Bilaniuk, Deshpande, e Sudarshan disseram: <b style="mso-bidi-font-weight: normal;">NÃO</b> (<i>Am. J. Phys. 30, 718 - 1962</i>)!
</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Em
1967, Feinberg propôs que os taquions poderiam ser os quanta de um campo
quântico com massa ao quadrado negativo (</span><i><span style="font-family: ""serif"","serif";">On the possibility of faster-than-light particles" -
Phys. Rev. 159, 1089—1105, 1967</span></i><span lang="PT" style="mso-ansi-language: PT;">).</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">
</span></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Ele
logo percebeu que excitações de tais campos de massa imaginárias de fato não se
propagarvam mais rápido que a luz. e, Em vez disso representavam uma
instabilidade conhecida como condensação de táquions.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Os
físicos dizem que partículas como táquions não podem existir uma vez que elas
violam as leis da física. Caso os táquions existam, poder-se-ia construir o
“telefone antitaquiônico”, conforme denominado por Gregory Benford. Este aparelho
enviaria sinais com velocidades superiores a da luz.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Entretanto,
o aparelho violaria a casualidade, ou seja, na descrição de Einstein e
Sommerfeld, significaria “telegrafar para o passado”, experimento também
idealizado por Richard C. Tolman, em 1917, que ficou conhecido por “paradoxo de
Tolman”.</span><br />
<br />
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<span lang="PT" style="mso-ansi-language: PT;"><span style="color: red;"><b><span style="font-size: large;"><span style="font-family: Times,"Times New Roman",serif;">O que aconteceria se uma partícula viajasse a uma
velocidade maior que a da luz em um determinado meio? </span></span></b></span></span></div>
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<br /></div>
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<span lang="PT" style="mso-ansi-language: PT;">Esta partícula passaria a
emitir luz na forma de um cone, que se interpreta como a partícula liberando o
excedente de energia para chegar ao limite da velocidade as luz. Esta é a radiação
de Cherenkov (a ser explicada mais adiante).</span></div>
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<br />
<div style="text-align: justify;">
Quanto aos táquions, se existissem, não seria
possível vê-los se aproximando. Após sua passagem, seria possível ver duas
imagens dele: aparecendo e partindo em direções opostas.</div>
<br />
<div style="text-align: justify;">
<br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiauIerSeI0UDCIvIAxoc3epgfE_E7En4gxSFKH7iNGKhwr1LfPj1we7xF-7KdON5I9g4XqWVPxKawSX7mcgvP5XRQyTLd04tfo4q_gctfEr2VwmWcXVnlAHCCOwMZ4dOlVEU-SqXuV-e8/s1600/Tachyon04s.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="111" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiauIerSeI0UDCIvIAxoc3epgfE_E7En4gxSFKH7iNGKhwr1LfPj1we7xF-7KdON5I9g4XqWVPxKawSX7mcgvP5XRQyTLd04tfo4q_gctfEr2VwmWcXVnlAHCCOwMZ4dOlVEU-SqXuV-e8/s400/Tachyon04s.gif" width="400" /></a></div>
<br />
<br />
<br />
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<br />
<div style="text-align: justify;">
<b>A linha preta </b>e a onda de choque da radiação de Cherenkov
em um breve momento. O efeito de imagem dupla será mais proeminente para um
observador localizado diretamente no caminho de um objeto a velocidade
superluminal (<b><span style="color: #999999;">a esfera cinza</span></b>).</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: blue;">A imagem azulada, à direita</span></b>, é a imagem formada
no desvio para o azul, quando chega ao observador, localizado no vértice preto
das linhas da radiação de Cherenkov, a partir da esfera, quando esta se aproxima.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<b><span style="color: red;">A imagem avermelhada, à esquerda</span></b>, é formada pelo
desvio parta o vermelho que deixa a esfera após esta passar o observador. </div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Como o objeto chegaria antes da luz, o observador
não veria nada, até que a esfera comece a passá-lo, sendo que depois a imagem,
como vista pelo observador, se partiria em duas: uma para a esfera que chega
(da direita) e outra para a esfera que parte (a esquerda).</div>
<br />
<br />
<span lang="PT" style="mso-ansi-language: PT;">Teorias
potencialmente consistentes, que permitem partículas viajarem a
velocidades mais rápidas que a da luz, incluem aqueles que quebram
a invariancia de Lorentz (a simetria subjacente da relatividade especial), de
modo que a velocidade da luz não constitui um obstáculo em si.</span></div>
<br />
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Tem
sido proposto que os táquions poderiam ser produzido a partir de colisões de
partículas de alta energia Assim, tem-se procurado pelos táquions tem
sido realizadas a partir de experimentos com raios cósmicos. </span></div>
<div style="text-align: justify;">
</div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Os
raios cósmicos atingem a atmosfera da Terra com energias elevadas, alguns deles
com uma velocidade quase 99,99% da velocidade da luz, ecolidem com
moléculas presentes na atmosfera. As partículas formadas nestas colisões
interagem com o ar, criam ainda mais partículas, conforme o fenômeno conhecido
como “chuveiro de raios cósmicos”. </span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Alguns
teóricos afirmam que se os táquions existirem, o universo poderia ser
preenchido com eles Todavia, eles interagiriam muito fracamente com a matéria
comum que não poderíamos detectá-los.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;"> Os
físicos têm procurado por alguns registros experimentais e até agora nenhum dos
laboratórios de alta energia do acelerador terem detectado uma interação que
poderia apenas ser explicada por táquions. Isto significa que táquions
devem interagir muito mais fracamente do que neutrinos. Se eles existirem, os
táquions seriam extremamente difíceis de serem utilizados em nossa
compreensão atual da física.</span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span lang="PT" style="mso-ansi-language: PT;">Em
1973, ao utilizar-se um grande conjunto de detectores de partículas, Philip
Crough e Roger Argila identificaram uma partícula superluminal putativa um feixe de raios cósmicos, embora este resultado não tenha sido novamente reproduzido. </span><span style="font-family: ""serif"","serif";">Ou seja, não há ainda evidencias
convincentes de que os táquions realmente existam.</span><br />
<br />
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</span><br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Até hoje os táquions jamais foram detectados e
agora James Wheeler e Joseph Spencer da Universidade Estadual de Utah, EUA,
julgam ter descoberto a razão disso.</span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: ""serif"","serif";">
</span><br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Wheeler e Spencer começaram por imaginar um
universo que só tem distâncias, sem a dimensão temporal. </span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">A medida mais simples neste universo é comparar
duas distâncias entre si: uma barra de um metro de comprimento deveria ter a
metade do comprimento que uma barra de dois metros, não importa qual seja o seu
ponto de vista, ou se você esteja olhando de um ângulo distinto ou de outro
lugar diverso.</span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Todos estes pontos de vista formariam um espaço
abstrato mais complexo, o “espaço de simetria de medidas”.</span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Matematicamente, isto resulta em um modelo bem
similar ao do “espaço de fase”, que é o coração da teoria da mecânica quântica
e outras teorias físicas. O espaço de fase descreve não só a posição de um
objeto, mas também seu momento – e indiretamente, a trajetória do objeto.</span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Em seu modelo, todas as trajetórias ficam
abrigadas em dois cones opostos que encontram-se em um ponto. Tal parece com um
conjunto de trajetórias que vêm do passado, passando através de um ponto no
presente, e saindo novamente até o futuro. Assim, algo equivalente ao conceito
de tempo surge nesse modelo.</span></div>
<span style="font-family: ""serif"","serif";">
</span>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMiWuXePOk9A_WgzhH4_xPOe5loPNDK4phl-nd41E-ctQctHyZoCT2HSLFj9L-9Ez-lsfVLUANtLaJ6AJOUfcTCR26wzSmOCij4BpzT6MMYKyA5OqfKGiU6iA5YZiIZOy-tffArHh9ZxE/s1600/hyperc.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMiWuXePOk9A_WgzhH4_xPOe5loPNDK4phl-nd41E-ctQctHyZoCT2HSLFj9L-9Ez-lsfVLUANtLaJ6AJOUfcTCR26wzSmOCij4BpzT6MMYKyA5OqfKGiU6iA5YZiIZOy-tffArHh9ZxE/s400/hyperc.bmp" width="388" /></a></div>
<div style="text-align: justify;">
<br /></div>
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</div>
<div style="text-align: justify;">
De fato, este agrupamento de trajetórias imita o
“cone de luz” da teoria da relatividade, que descreve as rotas no espaço-tempo
das partículas que viajam até a velocidade da luz. O cone de luz também divide
o passado e o futuro.</div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Na relatividade restrita teoricamente é possível
conceber os táquions viajando fora do cone de luz - veja em <b><span style="color: red;">vermelho</span></b> no desenho, o táquion desloca-se do
ponto <b><span style="color: red;">A</span></b> (na hipersuperfície do
presente) para o ponto <b><span style="color: red;">B</span></b> (futuro),
externo ao cone de luz. Mas no modelo de Wheeler e Spencer, isto é
inconcebível, uma vez que o cone desse novo modelo está realmente
limitado pelo conjunto de todas as possíveis trajetórias do objeto.</div>
<br />
<div style="text-align: center;">
<br /></div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: center;">
<b>O TEMPO EMERGENTE</b></div>
<span style="font-family: ""serif"","serif";"> </span><br />
<span style="font-family: ""serif"","serif";"> O tempo emergente requer que duas questões se esclareçam:</span><br />
<span style="font-family: ""serif"","serif";"><br /></span>
<br />
<br />
<span style="color: #b45f06;"><b><span style="font-family: ""serif"","serif";">1 - O que significa algo ser mais rápido que a velocidade da luz? </span></b></span><br />
<br />
<span style="font-family: ""serif"","serif";">Isso significa que o próprio conceito de tempo poderia se inverter, a ponto de alguém conversar com si mesmo no passado. Para tal, ela deveria enviar suas mensagens usando como meio os táquions. </span><br />
<br />
<span style="font-family: ""serif"","serif";">à medida que as velocidades aumentam, a massa do objeto também aumente. Se uma nave fosse acelerada cada vez mais, sofreria mais e mais resistência à aceleração o que dificultaria ela de atingir a velocidade da luz, demandando para tal uma energia infinita. </span><br />
<span style="font-family: ""serif"","serif";"><br /></span>
<span style="font-family: ""serif"","serif";">De acordo com Paul Davies, a teoria da relatividade não restringe objetos com velocidades superiores a da luz. Daí pode-se falar em táquions, que respeitariam o inverso do limite de velocidade do universo, sendo a velocidade da luz o piso para a velocidade dos táquions.</span><br />
<span style="font-family: ""serif"","serif";"><br /></span>
<span style="font-family: ""serif"","serif";">Assim, os brádions ao diminuírem sua vewlocidade possuem menos energia. Já os táquions possuem mais energia.</span><br />
<br />
<span style="font-family: ""serif"","serif";"><br /></span>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjui1HYf2QlRufIWeWhXIgqXCkfDmhi5mdrx5TYKLu24GxGmgl14MVALNCWh4WUJPIAFzuDwbPwWjbflYi5-7ETX4Da3GkCsk42gXoVGMKpPaskSI0bwWlyBHJ59cBL2LVgrOQKO_G_xD8/s1600/taquions3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjui1HYf2QlRufIWeWhXIgqXCkfDmhi5mdrx5TYKLu24GxGmgl14MVALNCWh4WUJPIAFzuDwbPwWjbflYi5-7ETX4Da3GkCsk42gXoVGMKpPaskSI0bwWlyBHJ59cBL2LVgrOQKO_G_xD8/s1600/taquions3.jpg" /></a></div>
<span style="font-family: ""serif"","serif";"><br /></span>
<span style="font-family: ""serif"","serif";">Isso ocorre porque o conceito de massa para os táquions difere daquele dos brádions. Para estes, a massa é real; e, para aqueles, ela será imaginária. Assim, caso os táquions existam,. eles cruzariam o universo instantaneamente.</span><br />
<span style="font-family: ""serif"","serif";"><br /></span>
<span style="font-family: ""serif"","serif";">Caso os táquions existam, devem ser procurados no big bang, que originou toda a matéria do universo. É possível que em sua fase primordial, o cosmo tenha resíduos taquiônicos espalhados pelo espaço.</span><br />
<br />
<span style="font-family: ""serif"","serif";">O universo ao se expandir, faz com que a matéria comum perca energia e se aquiete. Já, para os táquions, sua forma de matéria também perderia energia, porém esta perda não os aquietaria. Em vez disso, os aceleraria. Logo, um gás de táquions ao chegar a enrgia zero, atingirá velocidades infinitas e os táquions deixariam de existir abruptamente.</span><br />
<br />
<span style="font-family: ""serif"","serif";">Ex. no diagrama espaço - tempo, um objeto parado tem sua linha paralela ao eixo das ordenadas. Isto significa que apenas o tempo está fluindo. Caso se movimente e aumente sua velocidade, esta linha se inclinará cada vez mais até atingir um ângulo de inclinação de 45 graus, no limite da velocidade da luz. Isto é o tempo e o espaço fluirão.</span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjVizr3QqIH99tYlaW5X32ZvQYMlBOsts1SdkNjt_OAwz_BwwiV1xhCkbWt_BSQQ2u3cmpS22u8-eQxIbQw95Mvc97wIWHdCTxgAUYKHv7f11wd2EfEJk00jPB9o0V6UEPJMlXkXKXQoU/s1600/256px-Minkowski_diagram_-_causality.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjVizr3QqIH99tYlaW5X32ZvQYMlBOsts1SdkNjt_OAwz_BwwiV1xhCkbWt_BSQQ2u3cmpS22u8-eQxIbQw95Mvc97wIWHdCTxgAUYKHv7f11wd2EfEJk00jPB9o0V6UEPJMlXkXKXQoU/s400/256px-Minkowski_diagram_-_causality.png" width="364" /></a></div>
<br />
<br />
<span style="font-family: ""serif"","serif";">Os táquions tem ângulo mais acentuado que 45 graus e tendem a ficar na horizontal quando a velocidade se aproxima do infinito. é como se tais partículas estivessem em muitos lugares e o tempo não passasse para elas. Assim, deixam de existir no espaço - tempo, que é o efeito da expansão do universo sobre elas. </span><br />
<br />
<span style="font-family: ""serif"","serif";"> Todavia, para os físicos, os paradoxos do tempo afastam em definitivo o conceito de táquions. Um observador imóvel pensará que um observador em movimento recebe um sinal de pois de enviado. Mas para o observador em movimento, o sinal poderá chegar ao destinatário antes de ser enviado, ou seja, o destinatário do sinal estará no passado.</span><br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCcWK5I0PJClQXElnWMgFD7unnxv5Bzs-cKWrChfRiNov4sM_jfuGNjL9H_zG4CY6kCeI7tZCBZBh6HjLTHWvReoxcLkuVl3-jxARHwOjKbUWLBY-KmF3tusjbCI01OXX1eTUBFeSpciM/s1600/time_light_cone.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="325" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCcWK5I0PJClQXElnWMgFD7unnxv5Bzs-cKWrChfRiNov4sM_jfuGNjL9H_zG4CY6kCeI7tZCBZBh6HjLTHWvReoxcLkuVl3-jxARHwOjKbUWLBY-KmF3tusjbCI01OXX1eTUBFeSpciM/s400/time_light_cone.gif" width="400" /></a></div>
<br />
<span style="font-family: ""serif"","serif";"><br /></span>
<span style="font-family: ""serif"","serif";">O que poderia atestar a existência dos táquions seria encontrar tais partículas em nosso mundo - o convencional. Não há por que pensar em paradoxos caso não se tente controlar ou agir sobre os táquions.</span><br />
<span style="font-family: ""serif"","serif";"><br /></span>
<span style="font-family: ""serif"","serif";">Estas partículas não violam as leis da natureza. Logo, se algo não é proibido, a natureza tenderá a produzi-lo. Assim, não seria surpresa se um dia alguém descobrisse os táquions</span><br />
<br />
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<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><span style="color: #b45f06;"><b>2 - Por que deveria seu complexo espaço de simetrias
ter alguma relevância para o espaço “real” e o tempo no qual habitamos? </b></span></span></div>
<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">A razão
é que o modelo vincula o espaço sem tempo com algo similar ao nosso conceito
comum de espaço-tempo, o que significa que estas duas descrições são
equivalentes. Qualquer evento que pode descrever-se no marco do espaço-tempo
pode ser modelado da mesma forma por uma estrutura em um espaço sem tempo.</span></div>
<div style="text-align: justify;">
<br /></div>
<span style="font-family: ""serif"","serif";">
</span><br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">As conseqüências podem ser profundas. O espaço
sem tempo não pode ser alterado, assim tal poderia significar que nosso
universo é determinístico, com o futuro selado definitivamente, ou seja, <i>gravado
em pedra</i>.</span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";">Wheeler suspeita que nossa percepção de “tempo”
corresponde à distância de um ponto especial do espaço de quatro dimensões sem
tempo que modelaram. Se correto, tal ponto poderia marcar o início aparente do
tempo no Big Bang.</span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
<div style="text-align: justify;">
<span style="font-family: ""serif"","serif";"><br /></span></div>
<span style="font-family: ""serif"","serif";">
</span>
<br />
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<span style="font-family: ""serif"","serif";">O matemático Shahn Majid de Queen Mary,
Universidade de Londres, também trabalha na questão de como o tempo poderia
surgir a partir da atemporalidade.</span></div>
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<span style="font-family: ""serif"","serif";">Shahn Majid acredita que os resultados de Wheeler
e Spencer podem ser, contudo, considerados limitados, pois dependem de uma
aproximação matemática concreta. Mas ele não desvaloriza esse trabalho. “É
inovador e oferece a resposta adequada - de como surge o tempo - disse a New Scientist.
“E agora há abordagens distintas para esta questão, as quais poderiam estar
todas ligadas, o que se aproxima de uma teoria emergente sobre a “origem do
tempo”.</span></div>
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Elyson Scafatihttp://www.blogger.com/profile/09446170098841579789noreply@blogger.com2