Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum
| dc.creator | Rodrigues Jr., W. A. | |
| dc.creator | Vaz Jr, J. | |
| dc.date | 1996-07-30 | |
| dc.date | 1996-07-31 | |
| dc.date.accessioned | 2026-07-07T09:04:25Z | |
| dc.date.available | 2026-07-07T09:04:25Z | |
| dc.description | 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, have subluminal and superluminal solutions characterized by $F^2 \neq 0$. We can write $F = ψγ_{21} \tilde ψ$ where $ψ\in \sec \clif^+(M)$. We can show that $ψ$ satisfies a non linear Dirac-Hestenes Equation (NLDHE). Under reasonable assumptions we can reduce the NLDHE to the linear Dirac-Hestenes Equation (DHE). This happens for constant values of the Takabayasi angle ($0$ or $π$). The massless Dirac equation $\dirac ψ=0$, $ψ\in \sec \clif^+ (M)$, is equivalent to a generalized Maxwell equation $\dirac F = J_{e} - γ_5 J_{m} = {\cal J}$. For $ψ= ψ^\uparrow$ a positive parity eigenstate, $j_e = 0$. Calling $ψ_e$ the solution corresponding to the electron, coming from $\dirac F_e =0$, we show that the NLDHE for $ψ$ such that $ψγ_{21} \tildeψ = F_e + F^{\uparrow}$ gives a linear DHE for Takabayasi angles $π/2$ and $3π/2$ with the muon mass. The Tau mass can also be obtained with additional hypothesis. | |
| dc.description | 24 pages, KAPPROC style (Kluwer Ac. Pub. Proceedings) with named references. The Abstract to appear in the e-print archive list has been corrected. The main text is the same | |
| dc.identifier | https://arxiv.org/abs/hep-th/9607231 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9607231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149370 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum | |
| dc.type | text |