The cosmological constant of emergent spacetime in the Newtonian approximation

[EN] We present a simple quantum-mechanical estimate of the cosmological constant of a Newtonian Universe. We first mimic the dynamics of a Newtonian spacetime by means of a nonrelativistic quantum mechanics for the matter contents of the Universe (baryonic and dark) within a fixed (i.e. nondynamica...

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Detalles Bibliográficos
Autores: Castro-Palacio, Juan Carlos|||0000-0002-0132-9989, Fernández de Córdoba, Pedro|||0000-0002-0347-7280, Isidro, J.M.|||0000-0002-0720-9945
Tipo de recurso: artículo
Fecha de publicación:2020
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:10251/169342
Acceso en línea:https://riunet.upv.es/handle/10251/169342
Access Level:acceso abierto
Palabra clave:Emergent spacetime
Cosmological constant
Newtonian cosmology
MATEMATICA APLICADA
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spelling The cosmological constant of emergent spacetime in the Newtonian approximationCastro-Palacio, Juan Carlos|||0000-0002-0132-9989Fernández de Córdoba, Pedro|||0000-0002-0347-7280Isidro, J.M.|||0000-0002-0720-9945Emergent spacetimeCosmological constantNewtonian cosmologyMATEMATICA APLICADA[EN] We present a simple quantum-mechanical estimate of the cosmological constant of a Newtonian Universe. We first mimic the dynamics of a Newtonian spacetime by means of a nonrelativistic quantum mechanics for the matter contents of the Universe (baryonic and dark) within a fixed (i.e. nondynamical) Euclidean spacetime. Then we identify an operator that plays, on the matter states, a role analogous to that played by the cosmological constant. Finally, we prove that there exists a quantum state for the matter fields, in which the above-mentioned operator has an expectation value equal to the cosmological constant of the given Newtonian Universe.This research was supported by grant no. RTI2018-102256-B-I00 (Spain).World ScientificDepartamento de Física AplicadaDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería IndustrialCentro de Tecnologías Físicas: Acústica, Materiales y AstrofísicaAgencia Estatal de InvestigaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/169342reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 RTI2018-102256-B-I00 TRANSFERENCIA DE CALOR EN FLUJOS DE PARED: CANALES Y CAPAS LIMITESopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1693422026-06-13T07:49:27Z
dc.title.none.fl_str_mv The cosmological constant of emergent spacetime in the Newtonian approximation
title The cosmological constant of emergent spacetime in the Newtonian approximation
spellingShingle The cosmological constant of emergent spacetime in the Newtonian approximation
Castro-Palacio, Juan Carlos|||0000-0002-0132-9989
Emergent spacetime
Cosmological constant
Newtonian cosmology
MATEMATICA APLICADA
title_short The cosmological constant of emergent spacetime in the Newtonian approximation
title_full The cosmological constant of emergent spacetime in the Newtonian approximation
title_fullStr The cosmological constant of emergent spacetime in the Newtonian approximation
title_full_unstemmed The cosmological constant of emergent spacetime in the Newtonian approximation
title_sort The cosmological constant of emergent spacetime in the Newtonian approximation
dc.creator.none.fl_str_mv Castro-Palacio, Juan Carlos|||0000-0002-0132-9989
Fernández de Córdoba, Pedro|||0000-0002-0347-7280
Isidro, J.M.|||0000-0002-0720-9945
author Castro-Palacio, Juan Carlos|||0000-0002-0132-9989
author_facet Castro-Palacio, Juan Carlos|||0000-0002-0132-9989
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 Física Aplicada
Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Industrial
Centro de Tecnologías Físicas: Acústica, Materiales y Astrofísica
Agencia Estatal de Investigación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Emergent spacetime
Cosmological constant
Newtonian cosmology
MATEMATICA APLICADA
topic Emergent spacetime
Cosmological constant
Newtonian cosmology
MATEMATICA APLICADA
description [EN] We present a simple quantum-mechanical estimate of the cosmological constant of a Newtonian Universe. We first mimic the dynamics of a Newtonian spacetime by means of a nonrelativistic quantum mechanics for the matter contents of the Universe (baryonic and dark) within a fixed (i.e. nondynamical) Euclidean spacetime. Then we identify an operator that plays, on the matter states, a role analogous to that played by the cosmological constant. Finally, we prove that there exists a quantum state for the matter fields, in which the above-mentioned operator has an expectation value equal to the cosmological constant of the given Newtonian Universe.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-10-01
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/10251/169342
url https://riunet.upv.es/handle/10251/169342
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 RTI2018-102256-B-I00 TRANSFERENCIA DE CALOR EN FLUJOS DE PARED: CANALES Y CAPAS LIMITES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
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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