Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropic corrections to Newton's law   It has been known for some time that there is a deep connection between
thermodynamics and gravity, with perhaps the most dramatic implication that the
Einstein equations can be viewed as a thermodynamic equation of state. Recently
Verlinde has proposed a model for gravity with a simple statistical mechanical
interpretation that is applicable in the non-relatvistic regime. After
critically analyzing the construction, we present a strong consistency check of
the model. Specifically, we consider two well-motivated corrections to the
area-entropy relation, the log correction and the volume correction, and follow
Verlinde's construction to derive corrections to Newton's law of gravitation.
We show that the deviations from Newton's law stemming from the log correction
have the same form as the lowest order quantum effects of perturbative quantum
gravity, and the deviations stemming from the volume correction have the same
form as some modified Newtonian gravity models designed to explain the
anomalous galactic rotation curves.

17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom