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: Plastino, Ángel Luis, Rocca, Mario Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/140697
Acceso en línea:http://hdl.handle.net/11336/140697
Access Level:acceso abierto
Palabra clave:BOSONS
EMERGENT FORCE
ENTROPIC FORCE
FERMIONS
GRAVITATION
VERLIDE'S CONJECTURE
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Quantum statistical treatment of Verlinde's conjecture in a Tsallis frameworkPlastino, Ángel LuisRocca, Mario CarlosBOSONSEMERGENT FORCEENTROPIC FORCEFERMIONSGRAVITATIONVERLIDE'S CONJECTUREhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Verlinde 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.Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Escuela Politécnica Federal de Lausana; SuizaFil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaElsevier Science2019-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/140697Plastino, Ángel Luis; Rocca, Mario Carlos; Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 517; 1-3-2019; 341-3480378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2018.10.056info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0378437118314043?via%3Dihubinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1812.07984info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:32:41Zoai:ri.conicet.gov.ar:11336/140697instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 13:32:41.68CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
title Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
spellingShingle Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
Plastino, Ángel Luis
BOSONS
EMERGENT FORCE
ENTROPIC FORCE
FERMIONS
GRAVITATION
VERLIDE'S CONJECTURE
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Rocca, Mario Carlos
author2_role author
dc.subject.none.fl_str_mv BOSONS
EMERGENT FORCE
ENTROPIC FORCE
FERMIONS
GRAVITATION
VERLIDE'S CONJECTURE
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic BOSONS
EMERGENT FORCE
ENTROPIC FORCE
FERMIONS
GRAVITATION
VERLIDE'S CONJECTURE
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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.
publishDate 2019
dc.date.none.fl_str_mv 2019-03-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/140697
Plastino, Ángel Luis; Rocca, Mario Carlos; Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 517; 1-3-2019; 341-348
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/140697
identifier_str_mv Plastino, Ángel Luis; Rocca, Mario Carlos; Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 517; 1-3-2019; 341-348
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2018.10.056
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0378437118314043?via%3Dihub
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1812.07984
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15,811543

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