Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quanta of Space-Time and Axiomatization of Physics   We consider Hilbert's sixth problem on the axiomatization of physics starting
with a higher degree Heisenberg commutation relation involving the Dirac
operator and the Feynman slash of scalar fields. The two sided version of the
commutation relation in dimension 4 implies volume quantization and determines
a noncommutative space which is a tensor product of continuous and discrete
spaces. This noncommutative space predicts the full structure of a unified
model of all particle interactions based on Pati-Salam symmetries or, as a
special case, the Standard Model. We study implications of this quantization
condition on Particle Physics, General Relativity, the cosmological constant
and dark matter. We demonstrate that, with little input, noncommutative
geometry gives a compelling and attractive picture about the nature and
structure of space-time.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math