Statistical Mechanics-Based Schrödinger Treatment of Gravity

Entropy (Basel). 2019 Jul 12;21(7):682. doi: 10.3390/e21070682.

Abstract

The entropic gravity conception proposes that what has been traditionally interpreted as unobserved dark matter might be merely the product of quantum effects. These effects would produce a novel sort of positive energy that translates into dark matter via E = m c 2 . In the case of axions, this perspective has been shown to yield quite sensible, encouraging results [DOI:10.13140/RG.2.2.17894.88641]. Therein, a simple Schrödinger mechanism was utilized, in which his celebrated equation is solved with a potential function based on the microscopic Verlinde's entropic force advanced in [Physica A 511 (2018) 139]. In this paper, we revisit this technique with regards to fermions' behavior (specifically, baryons).

Keywords: baryons; emergent entropic force; fermions; gravitation; schrödringer equation.