Boltzmann Entropy of a Newtonian Universe

[EN] A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology. We first model the cosmological fluid as the probability fluid of a quantum-mechanical system. Next, following current ideas about the emergence of spaceti...

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Detalles Bibliográficos
Autores: Cabrera, D., Fernández de Córdoba, Pedro|||0000-0002-0347-7280, Isidro, J.M.|||0000-0002-0720-9945
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/103999
Acceso en línea:https://riunet.upv.es/handle/10251/103999
Access Level:acceso abierto
Palabra clave:Newtonian cosmology
Emergent quantum theory
MATEMATICA APLICADA
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spelling Boltzmann Entropy of a Newtonian UniverseCabrera, D.Fernández de Córdoba, Pedro|||0000-0002-0347-7280Isidro, J.M.|||0000-0002-0720-9945Newtonian cosmologyEmergent quantum theoryMATEMATICA APLICADA[EN] A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology. We first model the cosmological fluid as the probability fluid of a quantum-mechanical system. Next, following current ideas about the emergence of spacetime, we regard gravitational equipotentials as isoentropic surfaces. Therefore, gravitational entropy is proportional to the vacuum expectation value of the gravitational potential in a certain quantum state describing the matter contents of the Universe. The entropy of the matter sector can also be computed. While providing values of the entropy that turn out to be somewhat higher than existing estimates, our results are in perfect compliance with the upper bound set by the holographic principle.It is a great pleasure to thank Sarira Sahu, Daniele Tommasini and Joan Vazquez Molina for interesting technical discussions. This research was supported by grant no. ENE2015-71333-R (Spain).MDPI AGDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería IndustrialMinisterio de Economía, Industria y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/103999reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 ENE2015-71333-R CONVECCION FORZADA EN CANALES TURBULENTOSopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1039992026-06-13T07:49:27Z
dc.title.none.fl_str_mv Boltzmann Entropy of a Newtonian Universe
title Boltzmann Entropy of a Newtonian Universe
spellingShingle Boltzmann Entropy of a Newtonian Universe
Cabrera, D.
Newtonian cosmology
Emergent quantum theory
MATEMATICA APLICADA
title_short Boltzmann Entropy of a Newtonian Universe
title_full Boltzmann Entropy of a Newtonian Universe
title_fullStr Boltzmann Entropy of a Newtonian Universe
title_full_unstemmed Boltzmann Entropy of a Newtonian Universe
title_sort Boltzmann Entropy of a Newtonian Universe
dc.creator.none.fl_str_mv Cabrera, D.
Fernández de Córdoba, Pedro|||0000-0002-0347-7280
Isidro, J.M.|||0000-0002-0720-9945
author Cabrera, D.
author_facet Cabrera, D.
Fernández de Córdoba, Pedro|||0000-0002-0347-7280
Isidro, J.M.|||0000-0002-0720-9945
author_role author
author2 Fernández de Córdoba, Pedro|||0000-0002-0347-7280
Isidro, J.M.|||0000-0002-0720-9945
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Industrial
Ministerio de Economía, Industria y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Newtonian cosmology
Emergent quantum theory
MATEMATICA APLICADA
topic Newtonian cosmology
Emergent quantum theory
MATEMATICA APLICADA
description [EN] A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology. We first model the cosmological fluid as the probability fluid of a quantum-mechanical system. Next, following current ideas about the emergence of spacetime, we regard gravitational equipotentials as isoentropic surfaces. Therefore, gravitational entropy is proportional to the vacuum expectation value of the gravitational potential in a certain quantum state describing the matter contents of the Universe. The entropy of the matter sector can also be computed. While providing values of the entropy that turn out to be somewhat higher than existing estimates, our results are in perfect compliance with the upper bound set by the holographic principle.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/103999
url https://riunet.upv.es/handle/10251/103999
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 ENE2015-71333-R CONVECCION FORZADA EN CANALES TURBULENTOS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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