Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclidean geometry as algorithm for construction of generalized
  geometries   It is shown that the generalized geometries may be obtained as a deformation
of the proper Euclidean geometry. Algorithm of construction of any proposition
S of the proper Euclidean geometry E may be described in terms of the Euclidean
world function sigma_E in the form S(sigma_E). Replacing the Euclidean world
function sigma_E by the world function sigma of the geometry G, one obtains the
corresponding proposition S(sigma) of the generalized geometry G. Such a
construction of the generalized geometries (known as T-geometries) uses well
known algorithms of the proper Euclidean geometry and nothing besides. This
method of the geometry construction is very simple and effective. Using
T-geometry as the space-time geometry, one can construct the deterministic
space-time geometries with primordially stochastic motion of free particles and
geometrized particle mass. Such a space-time geometry defined properly (with
quantum constant as an attribute of geometry) allows one to explain quantum
effects as a result of the statistical description of the stochastic particle
motion (without a use of quantum principles).

37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph