Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mathematical framework for a standard theory using extended
  representations of paths and world lines   An analysis using a composition of currently-accepted theories is given.
Starting with a synthesis of what may be generically termed ``paths'', analysis
of representations for these ``paths'' is developed. Foreground and background
interactions are explicitly treated by using a local representation that treats
the two representations equally and symmetrically. A restriction coupling from
the global space-time representation to local interaction source terms is
treated in terms of mass and charge couplings. Rewriting the connection in
terms of the global manifold and the coupled terms yields compatibility with
Dirac and Klein-Gordan equations for electro-weak coupled particles and fields.
Compatibility with currently-accepted theories that includes standard charge
assignments, SU(3) confinement, and a definition for particle flavor
generations is used to constrain and validate the composition and the analysis.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an