Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum statistical treatment of Verlinde's conjecture in a Tsallis
  framework   Verlinde has recently conjectured, via a Beckenstein-like thought experiment,
that gravitation, instead of being an elementary force, is an emergent entropic
one. This rather surprising conjecture was actually proved in [Physica A {\bf
505} (2018) 190], in a strictly classical statistical mechanics' environment.
In this Communication, we work in a quantum statistical context to consider the
conjecture in the case of bosons/fermions, in a Tsallis' framework. We prove
that Tsallis' entropy is the operating potential energy in this quantum
treatment, something that does not happen in the case of Boltzmann-Gibbs'
entropy. \color{red} In the classical limit, we show that the emergent force
has a Newtonian dependence with the distance.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph