Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incompleteness of the particle dynamics in microcosm and the skeleton
  conception of elementary particles as overcoming of this incompleteness   The skeleton conception of elementary particles is considered in the paper.
Conventional particle dynamics is formulated in an unaccomplished form, which
is adequate only in the continuous space-time geometry. The conventional
differential equations of the particle motion cannot be written in the discrete
space-time geometry. In the discrete space-time geometry the particle world
line is replaced by the world chain. The world chain links has a finite length
(not infinitesimal). The world chain appears to be stochastic. Statistical
description of stochastic world chains leads to the Schr\"{o}dinger equation,
if the elementary length of the geometry is chosen in a proper way. The quantum
principles are founded by existence of the discrete (and multivariant)
space-time geometry and lose the role of prime physical principles. In the
skeleton conception the particle is described by its skeleton (several rigidly
connected space-time points). Skeleton conception of the elementary particles
realizes a proper description of the particle state, which appears to be
adequate in a discrete space-time geometry. The particle dynamics takes the
form of a monistic conception, which is described completely in terms of the
world function of the space-time geometry. The skeleton conception accomplishes
the transition from nonrelativistic physics to the relativistic one and
realizes the total geometrization of particle dynamics.

16
The categories of this paper are: stat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat