Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach

The Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be true in the context of non-relativistic quantum mechanics. Based on a semiclassical geometric approach, here we conjecture...

Descripción completa

Detalles Bibliográficos
Autores: Giné, Jaume, Luciano, Giuseppe Gaetano
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10459.1/84037
Acceso en línea:https://doi.org/10.1016/j.rinp.2022.105594
http://hdl.handle.net/10459.1/84037
Access Level:acceso abierto
Palabra clave:Uncertainty principle(s)
Schwarzschild spacetime
De sitter spacetime
Planck scale
id ES_b3eebcebac2ccb22aef25de8fdd13cc6
oai_identifier_str oai:recercat.cat:10459.1/84037
network_acronym_str ES
network_name_str España
repository_id_str
spelling Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approachGiné, JaumeLuciano, Giuseppe GaetanoUncertainty principle(s)Schwarzschild spacetimeDe sitter spacetimePlanck scaleThe Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be true in the context of non-relativistic quantum mechanics. Based on a semiclassical geometric approach, here we conjecture an effective generalization of this principle, which is well-suited to be extended to general relativity scenarios as well. We apply our formalism to Schwarzschild and de Sitter spacetime, showing that the ensuing uncertainty relations can be mapped into well-known deformations of the HUP. We also infer the form of the perturbed metric that mimics the emergence of a discrete spacetime structure at Planck scale, consistently with the predictions of the Generalized Uncertainty Principle. Finally, we discuss our results in connection with other approaches recently appeared in the literature.The authors are grateful to the anonymous Referees for their valu- able comments on the manuscript, which improved the quality and clarity of the work. The author is partially supported by the Agencia Estatal de Investigación grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2017SGR 1276Elsevier202220222022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.1016/j.rinp.2022.105594http://hdl.handle.net/10459.1/84037http://hdl.handle.net/10459.1/84037reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00Reproducció del document publicat a https://doi.org/10.1016/j.rinp.2022.105594Results in Physics, 2022, vol. 38, 105594cc-by (c) Jaume Giné, Giuseppe Gaetano Luciano, 2022info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:recercat.cat:10459.1/840372026-05-29T05:05:01Z
dc.title.none.fl_str_mv Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
title Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
spellingShingle Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
Giné, Jaume
Uncertainty principle(s)
Schwarzschild spacetime
De sitter spacetime
Planck scale
title_short Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
title_full Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
title_fullStr Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
title_full_unstemmed Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
title_sort Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach
dc.creator.none.fl_str_mv Giné, Jaume
Luciano, Giuseppe Gaetano
author Giné, Jaume
author_facet Giné, Jaume
Luciano, Giuseppe Gaetano
author_role author
author2 Luciano, Giuseppe Gaetano
author2_role author
dc.subject.none.fl_str_mv Uncertainty principle(s)
Schwarzschild spacetime
De sitter spacetime
Planck scale
topic Uncertainty principle(s)
Schwarzschild spacetime
De sitter spacetime
Planck scale
description The Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be true in the context of non-relativistic quantum mechanics. Based on a semiclassical geometric approach, here we conjecture an effective generalization of this principle, which is well-suited to be extended to general relativity scenarios as well. We apply our formalism to Schwarzschild and de Sitter spacetime, showing that the ensuing uncertainty relations can be mapped into well-known deformations of the HUP. We also infer the form of the perturbed metric that mimics the emergence of a discrete spacetime structure at Planck scale, consistently with the predictions of the Generalized Uncertainty Principle. Finally, we discuss our results in connection with other approaches recently appeared in the literature.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1016/j.rinp.2022.105594
http://hdl.handle.net/10459.1/84037
http://hdl.handle.net/10459.1/84037
url https://doi.org/10.1016/j.rinp.2022.105594
http://hdl.handle.net/10459.1/84037
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00
Reproducció del document publicat a https://doi.org/10.1016/j.rinp.2022.105594
Results in Physics, 2022, vol. 38, 105594
dc.rights.none.fl_str_mv cc-by (c) Jaume Giné, Giuseppe Gaetano Luciano, 2022
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
rights_invalid_str_mv cc-by (c) Jaume Giné, Giuseppe Gaetano Luciano, 2022
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869417218844917760
score 15.812429

Similares en LA Referencia