Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Possible Mechanism of Gravity   We consider systems of two free particles in de Sitter invariant quantum
theory and calculate the mean value of the mass operator for such systems. It
is shown that, in addition to the well known relativistic contribution (and de
Sitter antigravity which is small when the de Sitter radius is large), there
also exists a contribution caused by the fact that certain decomposition
coefficients have different phases. Such a contribution is negative and
proportional to the particle masses in the nonrelativistic approximation. In
particular, for a class of two-body wave functions the mean value is described
by standard Newtonian gravity and post Newtonian corrections in General
Relativity. This poses the problem whether gravity can be explained without
using the notion of interaction at all. We discuss a hypothesis that gravity is
a manifestation of Galois fields in quantum physics.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat