Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special Relativity and its Newtonian Limit from a Group Theoretical
  Perspective   In this pedagogical article, we explore a powerful language for describing
the notion of spacetime and particle dynamics intrinsic to a given fundamental
physical theory, focusing on special relativity and its Newtonian limit. The
starting point of the formulation is the representations of the relativity
symmetries. Moreover, that seriously furnishes -- via the notion of symmetry
contractions -- a natural way in which one can understand how the Newtonian
theory arises as an approximation to Einstein's theory. We begin with the
Poincar\'{e} symmetry underlying special relativity and the nature of Minkowski
spacetime as a coset representation space of the algebra and the group. Then,
we proceed to the parallel for the phase space of a spin zero particle, in
relation to which we present the full scheme for its dynamics under the
Hamiltonian formulation, illustrating that as essentially the symmetry feature
of the phase space geometry. Lastly, the reduction of all that to the Newtonian
theory as an approximation with its space-time, phase space, and dynamics under
the appropriate relativity symmetry contraction is presented. While all notions
involved are well established, the systematic presentation of that story as one
coherent picture fills a gap in the literature on the subject matter.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci