Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superluminal Motion in The interacting System of Electrons, Positrons
  and Photons   The coupled system of Boltzman equations for the interacting system of
electrons, positrons and photons in high external electric, E, and arbitrary
magnetic, H, fields is solved. The consideration is made under the conditions
of arbitrary heating and the mutual drag of carriers and photons. The
non-stationary and non-uniform distribution function of photons for the all
considered cases is obtained. It is shown that the distribution function of
photons has the stationary limit for the drift velocities $(\vec{u}\vec{q}/
\hbar \omega_q) <1 $ and grows exponentially with time for the drift velocities
$(\vec{u}\vec{q}/ \hbar \omega_q) \geq 1$. As a result of the analyses of the
phenomena of coupling of the mutual drag system of carriers with the photons,
we obtained some fundamental results: {\bf a)} the finiteness of the mass of
photon (i.e. the rest mass of the photons is not zero); {\bf b)} reality of
tachyons as a quasi-particles with a real mass in amplifying system (or
regime); {\bf c)} the mechanism of the theory of relativity and that of the
Doppler effect which coincides with the renormalization of frequency or mass as
a result of the mutual drag of carriers and photons at external field (force)
are the same. These conclusions were obtained as a result of the fact that the
relativistic factor enters the expressions of the distribution function of
photons and other physical expressions in the first order in the form
$[1-(u^2/c^2) ]^{-1}$, but not in the form $[1-(u^2/c^2) ]^{-1/2}$ as in
Einstein's theory. Also it is shown that the velocity of light is an average
velocity of photons in the ground state.

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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin