Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Electron Model with Synchrotron Radiation   A classical model of the electron based on Maxwell's equations is presented
in which the wave character is described by classical physics. Most properties
follow from the description of a classical massless charge circulating with
v\,=\,c. The magnetic moment of the electron yields the radius of this
circulation and the generated synchrotron radiation removes the singularity of
the Coulomb field and generates the mass of the electron. Quantum mechanics
yields its size and the angular moment. The fine structure constant $\alpha$
compares this dynamic structure of the electron with the classical point-like
static view. This configuration is not stable. It will decay by the emission of
synchrotron radiation.
  The stability of this description is therefor investigated by extending this
model to 3 dimensions. The field lines within the free electromagnetic fields
of the creation process, solved in polar coordinates, yield possible tracks for
a massless charge. Many possible circulating tracks are found but only a
combination of background fields yield environments in which stable tracks for
$\beta =1$ - charges may be created.
  Knotted toroidal tracks yield the stability. A knotted field line e.g. with
T(3,2)-symmetry may describe a spin-1/3-particle and a field line with
T(2,3)-symmetry in form of a knotted trefoil may belong to an electron as a
stable spin-1/2-particle.
  With its fixed internal revolution frequency this electron appears to the
external world as a standing wave with an amplitude propagating like the de
Broglie wave.
  Keywords: - Electron - Classical wave model - Spherical wave field -
Elementary charge - Mass - Knotted structure - Wave character

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The categories of this paper are: cond-mat
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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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: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th