Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation of fields associated with any moving point mass by means
  of fundamental fields corresponding to its trajectory in the frame of
  Einstein's special theory of relativity   Assume that in a Lorentzian frame is given a relativistically admissible
trajectory of a point mass. An event in such a frame can be described by four
coordinates, first three representing the position and the last one the time of
the event. Let G denote the set of all events that do not lie on the
trajectory.
  The trajectory uniquely determines on the set G a system of fields called by
the author the fundamental fields. The most important are the following three:
(1) The retarded time field, representing the time a wave should be emitted
from the trajectory to arrive at some point of the set of events G; (2) The
delayed time field, representing the difference between the actual time of the
event and the retarded time; (3) The unit vector field representing the
direction in which the wave should be emitted.
  In the paper arXiv:0909.5240 the author used the fundamental fields to prove,
that the fields of the amended Feynman's Law satisfy the homogeneous system of
Maxwell equations, and to obtain explicit formulas for Feynman fields in terms
of the fundamental fields.
  In this note the author proves that any field on the set G of events can be
represented as a function of the three fields mentioned above. The joint range
of these three fields represents a differentiable manifold M diffeomorphic with
the set G of the events. The manifold consists of the Cartesian product of the
space R of reals, the space of positive real numbers, and the unit sphere in 3
dimensional Euclidean space.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg