Statistical Mechanics-Based Schrödinger Treatment of Gravity

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 <inline-formula> <math display=&qu...

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Main Authors: Angelo Plastino, M. C. Rocca
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/7/682
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author Angelo Plastino
M. C. Rocca
author_facet Angelo Plastino
M. C. Rocca
author_sort Angelo Plastino
collection DOAJ
description 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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mn>2</mn> </msup> </mrow> </semantics> </math> </inline-formula>. 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 Schr&#246;dinger mechanism was utilized, in which his celebrated equation is solved with a potential function based on the microscopic Verlinde&#8217;s entropic force advanced in [Physica A <b>511</b> (2018) 139]. In this paper, we revisit this technique with regards to fermions&#8217; behavior (specifically, baryons).
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spelling doaj.art-8b341b52b33e4d62927e39e4fd2d22102022-12-22T04:28:16ZengMDPI AGEntropy1099-43002019-07-0121768210.3390/e21070682e21070682Statistical Mechanics-Based Schrödinger Treatment of GravityAngelo Plastino0M. C. Rocca1Departamento de Física, Universidad Nacional de La Plata, 1900 La Plata, ArgentinaDepartamento de Física, Universidad Nacional de La Plata, 1900 La Plata, ArgentinaThe 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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>E</mi> <mo>=</mo> <mi>m</mi> <msup> <mi>c</mi> <mn>2</mn> </msup> </mrow> </semantics> </math> </inline-formula>. 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 Schr&#246;dinger mechanism was utilized, in which his celebrated equation is solved with a potential function based on the microscopic Verlinde&#8217;s entropic force advanced in [Physica A <b>511</b> (2018) 139]. In this paper, we revisit this technique with regards to fermions&#8217; behavior (specifically, baryons).https://www.mdpi.com/1099-4300/21/7/682fermionsbaryonsemergent entropic forceschrödringer equationgravitation
spellingShingle Angelo Plastino
M. C. Rocca
Statistical Mechanics-Based Schrödinger Treatment of Gravity
Entropy
fermions
baryons
emergent entropic force
schrödringer equation
gravitation
title Statistical Mechanics-Based Schrödinger Treatment of Gravity
title_full Statistical Mechanics-Based Schrödinger Treatment of Gravity
title_fullStr Statistical Mechanics-Based Schrödinger Treatment of Gravity
title_full_unstemmed Statistical Mechanics-Based Schrödinger Treatment of Gravity
title_short Statistical Mechanics-Based Schrödinger Treatment of Gravity
title_sort statistical mechanics based schrodinger treatment of gravity
topic fermions
baryons
emergent entropic force
schrödringer equation
gravitation
url https://www.mdpi.com/1099-4300/21/7/682
work_keys_str_mv AT angeloplastino statisticalmechanicsbasedschrodingertreatmentofgravity
AT mcrocca statisticalmechanicsbasedschrodingertreatmentofgravity