Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework

Verlinde has recently conjectured, via a Beckenstein-like thought experiment, that gravitation, instead of being an elementary force, is an emergent entropic one. This rather surprising conjecture was actually proved in Plastino and Rocca (2018), in a strictly classical statistical mechanics’ enviro...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Gravitation
bosons
fermions
entropic force
emergent force
Verlide’s conjecture
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126178
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126178
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Gravitation
bosons
fermions
entropic force
emergent force
Verlide’s conjecture
spellingShingle Física
Gravitation
bosons
fermions
entropic force
emergent force
Verlide’s conjecture
Plastino, Ángel Luis
Rocca, Mario Carlos
Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework
topic_facet Física
Gravitation
bosons
fermions
entropic force
emergent force
Verlide’s conjecture
description Verlinde has recently conjectured, via a Beckenstein-like thought experiment, that gravitation, instead of being an elementary force, is an emergent entropic one. This rather surprising conjecture was actually proved in Plastino and Rocca (2018), in a strictly classical statistical mechanics’ environment. In this Communication, we work in a quantum statistical context to consider the conjecture in the case of bosons/fermions, in a Tsallis’ framework. We prove that Tsallis’ entropy is the operating potential energy in this quantum treatment, something that does not happen in the case of Boltzmann–Gibbs’ entropy. In the classical limit, we show that the emergent force has a Newtonian dependence with the distance.
format Articulo
Preprint
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework
title_short Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework
title_full Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework
title_fullStr Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework
title_full_unstemmed Quantum statistical treatment of Verlinde’s conjecture in a Tsallis framework
title_sort quantum statistical treatment of verlinde’s conjecture in a tsallis framework
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/126178
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AT roccamariocarlos quantumstatisticaltreatmentofverlindesconjectureinatsallisframework
bdutipo_str Repositorios
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