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Type: Artigo de periódico
Title: A Generalized Electromagnetic Theory For The Mass Spectrum Of Neutrinos
Author: Capelas de Oliveira E.
Rodrigues Jr. W.A.
Vaz Jr. J.
Abstract: In previous papers it was shown that solutions of Weyl equation that are eigenstates of the parity operator describe a coupled pair of a monopole anti-monopole system. These results suggest to seek a solution of the Maxwell equation ∂ F∞ = - g J with a current J as a source and such that the Lorentz force on the current is null. We first identify a solution where Jm = - γ5 J is a spacelike field. More surprisingly we find that there exists a solution F of the free Maxwell ∂ F = 0 that is equivalent to the inhomogeneous equation for F ∞. Once this result is proved, it suggests by itself to seek more general (subluminal and even superluminal) solutions F of the free Maxwell equation equivalent to an inhomogeneous Maxwell equation for a field F0 with a current term as a source which may be a timelike or spacelike field. We exhibit one such subluminal solution, for which the Dirac-Hestenes spinor field ψ associated with the electromagnetic field F0 satisfies a Dirac-like equation for a bradyonic neutrino under the ansatz that the current is ceλγ5 gψγ0ψ̃ with g the quantum of magnetic charge and λ a constant to be determined in such a way that the auto-force is zero. Together with Dirac's quantization condition this gives a quantized mass spectrum (Eq. (46)) for neutrinos, with masses of the different flavor neutrinos being of the same order of magnitude (Eq. (47)), which is in accord with recent experimental findings. © 2014 Pleiades Publishing, Ltd.
Editor: Maik Nauka Publishing / Springer SBM
Rights: fechado
Identifier DOI: 10.1134/S0202289314010034
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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