Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry as a foundational concept in Quantum Mechanics   Symmetries are widely used in modeling quantum systems but they do not
contribute in postulates of quantum mechanics. Here we argue that logical,
mathematical, and observational evidence require that symmetry should be
considered as a fundamental concept in the construction of physical systems.
Based on this idea, we propose a series of postulates for describing quantum
systems, and establish their relation and correspondence with axioms of
standard quantum mechanics. Through some examples we show that this
reformulation helps better understand some of ambiguities of standard
description. Nonetheless its application is not limited to explaining confusing
concept and it may be a necessary step toward a consistent model of quantum
cosmology and gravity.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ