Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the different forms of the Maxwell's electromagnetic equations in a
  uniform media   Two known, alternative to each other, forms of the Maxwell's electromagnetic
equations in a moving uniform media are investigated and discussed. Approach
commonly used after Minkowski is based on the two tensors:
  H^{ab} = (D, H /c) and F^{ab} = (E, cB) which transform independently of each
other at Lorentz transitions; relationships between fields change their form at
Lorentz transformations and have the form of the Minkowski equations depending
on the 4-velocity u^{a} of the moving media under an inertial reference frame.
So, the electrodynamics by Minkowski implies the absolute nature of the
mechanical motion. An alternative formalism (Rosen and others) may be developed
in the new variables. This form of the the Maxwell's equations exhibits
symmetry under modified Lorentz transformations in which everywhere instead of
the vacuum speed of light c is used the speed of light in the media, kc . In
virtue of this symmetry we might consider such a formulation of the Maxwell
theory in the media as invariant under the mechanical motion of the reference
frame.In connection with these two theoretical schemes, a point of principle
must be stressed: it might seem well-taken the requirement to perform
Poincare-Einstein clock synchronization in the uniform medias with the help of
real light signals influenced by the media, which leads us to the modified
Lorentz symmetry.

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The categories of this paper are: chem-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th