Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: "General theory of a particle mechanics" arising from a fractal surface   The logical line is traced of formulation of theory of mechanics founded on
the basic correlations of mathematics of hypercomplex numbers and associated
geometric images. Namely, it is shown that the physical equations of quantum,
classical and relativistic mechanics can be regarded as mathematical
consequences of a single condition of stability of exceptional algebras of
real, complex and quaternion numbers under transformations of primitive
constituents of their units and elements. In the course of the study a notion
of basic fractal surface underlying the physical three-dimensional space is
introduces, and an original geometric treatment (admitting visualization) of
some formerly considered abstract functions (mechanical action, space-time
interval) are suggested.

13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci