Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Newton equation for canonical, Lie-algebraic and quadratic deformation
  of classical space   The Newton equation describing the particle motion in constant external field
force on canonical, Lie-algebraic and quadratic space-time is investigated. We
show that for canonical deformation of space-time the dynamical effects are
absent, while in the case of Lie-algebraic noncommutativity, when spatial
coordinates commute to the time variable, the additional acceleration of
particle is generated. We also indicate, that in the case of spatial
coordinates commuting in Lie-algebraic way, as well as for quadratic
deformation, there appear additional velocity and position-dependent forces.

22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th