Pauli principle, Inflation, and simple statistical treatment of free-fermions

Autores
Plastino, Ángel Luis; Rocca, Mario Carlos; Ferri, Gustavo Luis
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the dependence of the of microstates number (for free fermions-bosons) as a function of the volume-size in quantum statistics and fermions, and show then that fermions can not be accommodated in arbitrarily small volumes V. A minimum V = Vmin for that purpose is determined. Fermions can not exist for V < Vmin. This fact might have something to do with inflation. More precisely, in order to accommodate N fermions in a Slater determinant, we need a minimum radius, which is a consequence of the Pauli principle. This does not happen for bosons. As a consequence, extrapolating this statistical feature to a cosmological setting, we are able to “predict” a temperature-value for the final-stage of the inflationary period. This value agrees with current estimates.
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. Social Thermodynamics Applied Research; Suiza
Fil: Rocca, Mario Carlos. 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. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Materia
Microstates's number
Fermions
Bosons
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/145391
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/145391
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Pauli principle, Inflation, and simple statistical treatment of free-fermionsPlastino, Ángel LuisRocca, Mario CarlosFerri, Gustavo LuisMicrostates's numberFermionsBosonshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the dependence of the of microstates number (for free fermions-bosons) as a function of the volume-size in quantum statistics and fermions, and show then that fermions can not be accommodated in arbitrarily small volumes V. A minimum V = Vmin for that purpose is determined. Fermions can not exist for V < Vmin. This fact might have something to do with inflation. More precisely, in order to accommodate N fermions in a Slater determinant, we need a minimum radius, which is a consequence of the Pauli principle. This does not happen for bosons. As a consequence, extrapolating this statistical feature to a cosmological setting, we are able to “predict” a temperature-value for the final-stage of the inflationary period. This value agrees with current estimates.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. Social Thermodynamics Applied Research; SuizaFil: Rocca, Mario Carlos. 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. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; ArgentinaScientific Research Publishing Inc.2020-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/145391Plastino, Ángel Luis; Rocca, Mario Carlos; Ferri, Gustavo Luis; Pauli principle, Inflation, and simple statistical treatment of free-fermions; Scientific Research Publishing Inc.; Journal of high energy physics, gravitation and cosmology; 6; 3; 7-2020; 443-4492380-43272380-4335CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation.aspx?paperid=101660info:eu-repo/semantics/altIdentifier/doi/10.4236/jhepgc.2020.63034info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:51:56Zoai:ri.conicet.gov.ar:11336/145391instacron: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:34982025-09-29 09:51:57.038CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Pauli principle, Inflation, and simple statistical treatment of free-fermions
title Pauli principle, Inflation, and simple statistical treatment of free-fermions
spellingShingle Pauli principle, Inflation, and simple statistical treatment of free-fermions
Plastino, Ángel Luis
Microstates's number
Fermions
Bosons
title_short Pauli principle, Inflation, and simple statistical treatment of free-fermions
title_full Pauli principle, Inflation, and simple statistical treatment of free-fermions
title_fullStr Pauli principle, Inflation, and simple statistical treatment of free-fermions
title_full_unstemmed Pauli principle, Inflation, and simple statistical treatment of free-fermions
title_sort Pauli principle, Inflation, and simple statistical treatment of free-fermions
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo Luis
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo Luis
author_role author
author2 Rocca, Mario Carlos
Ferri, Gustavo Luis
author2_role author
author
dc.subject.none.fl_str_mv Microstates's number
Fermions
Bosons
topic Microstates's number
Fermions
Bosons
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the dependence of the of microstates number (for free fermions-bosons) as a function of the volume-size in quantum statistics and fermions, and show then that fermions can not be accommodated in arbitrarily small volumes V. A minimum V = Vmin for that purpose is determined. Fermions can not exist for V < Vmin. This fact might have something to do with inflation. More precisely, in order to accommodate N fermions in a Slater determinant, we need a minimum radius, which is a consequence of the Pauli principle. This does not happen for bosons. As a consequence, extrapolating this statistical feature to a cosmological setting, we are able to “predict” a temperature-value for the final-stage of the inflationary period. This value agrees with current estimates.
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. Social Thermodynamics Applied Research; Suiza
Fil: Rocca, Mario Carlos. 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. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
description We study the dependence of the of microstates number (for free fermions-bosons) as a function of the volume-size in quantum statistics and fermions, and show then that fermions can not be accommodated in arbitrarily small volumes V. A minimum V = Vmin for that purpose is determined. Fermions can not exist for V < Vmin. This fact might have something to do with inflation. More precisely, in order to accommodate N fermions in a Slater determinant, we need a minimum radius, which is a consequence of the Pauli principle. This does not happen for bosons. As a consequence, extrapolating this statistical feature to a cosmological setting, we are able to “predict” a temperature-value for the final-stage of the inflationary period. This value agrees with current estimates.
publishDate 2020
dc.date.none.fl_str_mv 2020-07
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/11336/145391
Plastino, Ángel Luis; Rocca, Mario Carlos; Ferri, Gustavo Luis; Pauli principle, Inflation, and simple statistical treatment of free-fermions; Scientific Research Publishing Inc.; Journal of high energy physics, gravitation and cosmology; 6; 3; 7-2020; 443-449
2380-4327
2380-4335
CONICET Digital
CONICET
url http://hdl.handle.net/11336/145391
identifier_str_mv Plastino, Ángel Luis; Rocca, Mario Carlos; Ferri, Gustavo Luis; Pauli principle, Inflation, and simple statistical treatment of free-fermions; Scientific Research Publishing Inc.; Journal of high energy physics, gravitation and cosmology; 6; 3; 7-2020; 443-449
2380-4327
2380-4335
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation.aspx?paperid=101660
info:eu-repo/semantics/altIdentifier/doi/10.4236/jhepgc.2020.63034
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
dc.publisher.none.fl_str_mv Scientific Research Publishing Inc.
publisher.none.fl_str_mv Scientific Research Publishing Inc.
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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
_version_ 1844613594953547776
score 13.069144

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