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Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum

机译:超光速和超光速电磁波与轻子质量   光谱

摘要

Maxwell equation $\dirac F = 0$ for $F \in \sec \bwe^2 M \subset \sec \clif(M)$, where $\clif (M)$ is the Clifford bundle of differential forms, havesubluminal and superluminal solutions characterized by $F^2 \neq 0$. We canwrite $F = \psi \gamma_{21} \tilde \psi$ where $\psi \in \sec \clif^+(M)$. Wecan show that $\psi$ satisfies a non linear Dirac-Hestenes Equation (NLDHE).Under reasonable assumptions we can reduce the NLDHE to the linearDirac-Hestenes Equation (DHE). This happens for constant values of theTakabayasi angle ($0$ or $\pi$). The massless Dirac equation $\dirac \psi =0$,$\psi \in \sec \clif^+ (M)$, is equivalent to a generalized Maxwell equation$\dirac F = J_{e} - \gamma_5 J_{m} = {\cal J}$. For $\psi = \psi^\uparrow$ apositive parity eigenstate, $j_e = 0$. Calling $\psi_e$ the solutioncorresponding to the electron, coming from $\dirac F_e =0$, we show that theNLDHE for $\psi$ such that $\psi \gamma_{21} \tilde{\psi} = F_e + F^{\uparrow}$gives a linear DHE for Takabayasi angles $\pi/2$ and $3\pi/2$ with the muonmass. The Tau mass can also be obtained with additional hypothesis.
机译:麦克斯韦方程$ \ dirac F = 0 $对于$ F \ in \ sec \ bwe ^ 2 M \ subset \ sec \ clif(M)$,其中$ \ clif(M)$是Clifford束微分形式,havesubluminal和以$ F ^ 2 \ neq 0 $为特征的超腔解决方案。我们可以写$ F = \ psi \ gamma_ {21} \ tilde \ psi $其中$ \ psi \ in \ sec \ clif ^ +(M)$。我们可以证明$ \ psi $满足非线性Dirac-Hestenes方程(NLDHE)。在合理的假设下,我们可以将NLDHE简化为线性Dirac-Hestenes方程(DHE)。这发生在Takabayasi角的恒定值($ 0 $或$ \ pi $)上。无质量Dirac方程$ \ dirac \ psi = 0 $,$ \ psi \ in \ sec \ clif ^ +(M)$,等效于广义麦克斯韦方程$ \ dirac F = J_ {e}-\ gamma_5 J_ { m} = {\ cal J} $。对于$ \ psi = \ psi ^ \ uparrow $正校验本征状态,$ j_e = 0 $。将来自电子\\狄拉克F_e = 0 $的对应于电子的解称为\\ psi_e $,我们证明NLDHE为$ \ psi $,使得$ \ psi \ gamma_ {21} \ tilde {\ psi} = F_e + F ^ {\ uparrow} $提供了一个Takabayasi角$ \ pi / 2 $和$ 3 \ pi / 2 $与μonmass的线性DHE。 Tau质量也可以通过其他假设获得。

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  • 年度 1996
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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