Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of the self-interaction force on an arbitrarily moving
  point-charge and of its related energy-momentum radiation rate: The
  Lorentz-Dirac equation of motion in a Colombeau algebra   The classical theory of radiating point-charges is revisited: the retarded
potentials, fields, and currents are defined as nonlinear generalized
functions. All calculations are made in a Colombeau algebra, and the spinor
representations provided by the biquaternion formulation of classical
electrodynamics are used to make all four-dimensional integrations exactly and
in closed-form. The total rate of energy-momentum radiated by an arbitrarily
moving relativistic point-charge under the effect of its own field is shown to
be rigorously equal to minus the self-interaction force due to that field. This
solves, without changing anything in Maxwell's theory, numerous long-standing
problems going back to more than a century. As an immediate application an
unambiguous derivation of the Lorentz-Dirac equation of motion is given, and
the origin of the problem with the Schott term is explained: it was due to the
fact that the correct self-energy of a point charge is not the Coulomb
self-energy, but an integral over a delta-squared function which yields a
finite contribution to the Schott term that is either absent or incorrect in
the customary formulations.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph