Preprint Article Version 1 This version is not peer-reviewed

# Statistical Mechanics-Based Schrodinger Treatment of Gravity

Version 1 : Received: 22 April 2019 / Approved: 24 April 2019 / Online: 24 April 2019 (12:13:31 CEST)

A peer-reviewed article of this Preprint also exists.

Plastino, A.; Rocca, M.C. Statistical Mechanics-Based Schrödinger Treatment of Gravity. Entropy 2019, 21, 682. Plastino, A.; Rocca, M.C. Statistical Mechanics-Based Schrödinger Treatment of Gravity. Entropy 2019, 21, 682.

Journal reference: Entropy 2019, 21, 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 $E=mc^2$. In the case of axions, this perspective as been shown to yield quite sensible, encouraging results [DOI:10.13140/RG.2.2.17894.88641] . There, a simple Schrodinger 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 {\bf 511} (2018) 139]. In this effort we revisit such technique with regards to fermions' behavior (specifically, baryons).

## Subject Areas

Fermions, baryons, Emergent entropic force, Schrodringer equation, Gravitation.