Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finslerian spaces possessing local relativistic symmetry   It is shown that the problem of a possible violation of the Lorentz
transformations at Lorentz factors $\gamma >5\times 10^{10} ,$ indicated by the
situation which has developed in the physics of ultra-high energy cosmic rays
(the absence of the GZK cutoff), has a nontrivial solution. Its essence
consists in the discovery of the so-called generalized Lorentz transformations
which seem to correctly link the inertial reference frames at any values of
$\gamma .$ Like the usual Lorentz transformations, the generalized ones are
linear, possess group properties and lead to the Einstein law of addition of
3-velocities. However, their geometric meaning turns out to be different: they
serve as relativistic symmetry transformations of a flat anisotropic Finslerian
event space rather than of Minkowski space. Consideration is given to two types
of Finsler spaces which generalize locally isotropic Riemannian space-time of
relativity theory, e. g. Finsler spaces with a partially and entirely broken
local 3D isotropy. The investigation advances arguments for the corresponding
generalization of the theory of fundamental interactions and for a specific
search for physical effects due to local anisotropy of space-time.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th