Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Origin of Mass. Mass and Mass-Energy Equation from Classical-Mechanics
  Solution   We establish the classical wave equation for a particle formed of a massless
oscillatory elementary charge generally also traveling, and the resulting
electromagnetic waves, of a generally Doppler-effected angular frequency $\w$,
in the vacuum in three dimensions. We obtain from the solutions the total
energy of the particle wave to be $\eng=\hbarc\w$, $2\pi \hbarc$ being a
function expressed in wave-medium parameters and identifiable as the Planck
constant. In respect to the train of the waves as a whole traveling at the
finite velocity of light $c$, $\eng=mc^2$ represents thereby the translational
kinetic energy of the wavetrain, $m=\hbarc\w/c^2$ being its inertial mass and
thereby the inertial mass of the particle. Based on the solutions we also write
down a set of semi-empirical equations for the particle's de Broglie wave
parameters. From the standpoint of overall modern experimental indications we
comment on the origin of mass implied by the solution.

32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph