Pauli Principle, Inflation and Simple Statistical Treatment of Free-Fermions
- Autores
- Plastino, Ángel Luis; Rocca, Mario Carlos; Ferri, Gustavo L.
- 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 fermionsbosons) 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 min V < V . 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.
Facultad de Ciencias Exactas - Materia
-
Física
Microstates’s Number Ω
Fermions
Bosons - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/119301
Ver los metadatos del registro completo
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Pauli Principle, Inflation and Simple Statistical Treatment of Free-FermionsPlastino, Ángel LuisRocca, Mario CarlosFerri, Gustavo L.FísicaMicrostates’s Number ΩFermionsBosonsWe study the dependence of the of microstates number (for free fermionsbosons) 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 min V < V . 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.Facultad de Ciencias Exactas2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf443-449http://sedici.unlp.edu.ar/handle/10915/119301enginfo:eu-repo/semantics/altIdentifier/issn/2380-4335info:eu-repo/semantics/altIdentifier/issn/2380-4327info:eu-repo/semantics/altIdentifier/doi/10.4236/jhepgc.2020.63034info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:28:09Zoai:sedici.unlp.edu.ar:10915/119301Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:28:09.844SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| 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 Física Microstates’s Number Ω 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 L. |
| author |
Plastino, Ángel Luis |
| author_facet |
Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo L. |
| author_role |
author |
| author2 |
Rocca, Mario Carlos Ferri, Gustavo L. |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Física Microstates’s Number Ω Fermions Bosons |
| topic |
Física Microstates’s Number Ω Fermions Bosons |
| dc.description.none.fl_txt_mv |
We study the dependence of the of microstates number (for free fermionsbosons) 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 min V < V . 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. Facultad de Ciencias Exactas |
| description |
We study the dependence of the of microstates number (for free fermionsbosons) 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 min V < V . 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 |
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2020 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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eng |
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eng |
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