Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Mass Spectrum of Neutrinos   In a previous paper we showed that Weyl equation possess superluminal
solutions and moreover we showed that those solutions that are eigenstates of
the parity operator seem to describe a coupled pair of a monopole anti-monopole
system. This result suggests to look for a solution of Maxwell equation
\partialF^{\infty}=-gJ with a current J as source and such that the Lorentz
force on the current is null. We first identify a solution where
J={\gamma}^{5}J_{m}is a spacelike field (even if F is not a superluminal
solution of the homogeneous Maxwell equation). More surprisingly we find that
there exists a solution F of the free Maxwell \partialF=0 that is equivalent to
the non homogeneous equation for F^{\infty}. Once this result is proved it
suggests by itself to look for more general subluminal and superluminal
solutions F of the free Maxwell equation equivalent to a non homogeneous
Maxwell equation for a field F_{0} with a current term as source which may be
subluminal or superluminal. We exhibit one such subluminal solution, for which
the Dirac-Hestenes spinor field {\psi} associated the electromagnetic field
F_{0} satisfies a Dirac equation for a bradyonic neutrino under the ansatz that
the current is ce^{{\lambda}{\gamma}^{5}}g{\psi}{\gamma}^{0}{\psi}, with g the
quantum of magnetic charge and {\lambda} a constant to be determined in such a
way that the auto-force be null. Together with Dirac's quantization condition
this gives a quantized mass spectrum (Eq.49) for the neutrinos, with the masses
of the different flavor neutrinos being of the same order of magnitude (Eq.50)
which is in accord with recent experimental findings. As a last surprise we
show that the mass spectrum found in the previous case continues to hold if the
current is taken spacelike, i.e.,
ce^{{\lambda}{\gamma}^{5}}g{\psi}_{>}{\gamma}^{3}{\psi}_{>} with {\psi}_{>}, in
this case, satisfying a tachyonic Dirac-Hestenes equation.

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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat