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Statistical Mechanics-Based Schrödinger Treatment of Gravity

1,2,3,* and 1,2,4
Departamento de Física, Universidad Nacional de La Plata, 1900 La Plata, Argentina
Consejo Nacional de Investigaciones Científicasy Tecnológicas (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina
SThAR - EPFL, 1022 Lausanne, Switzerland
Departamento de Matemática, Universidad Nacional de La Plata, 1900 La Plata, Argentina
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 682;
Received: 22 April 2019 / Revised: 21 June 2019 / Accepted: 9 July 2019 / Published: 12 July 2019
(This article belongs to the Special Issue Entropy and Gravitation)
PDF [268 KB, uploaded 16 July 2019]


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). View Full-Text
Keywords: fermions; baryons; emergent entropic force; schrödringer equation; gravitation fermions; baryons; emergent entropic force; schrödringer equation; gravitation

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

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