Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities

Autores
Aimar, Hugo Alejandro; Morana, Federico Maximiliano
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this brief note we aim to provide, through a well known class of singular densities in harmonic analysis, a simple approach to the fact that the homogeneity of the universe on scales of the order of a hundred millions light years is completely compatible with the fine-scale condensation of matter and energy. We give precise and quantitative definitions of homogeneity and isotropy on large scales. Then we show that Muckenhoupt densities have the ingredients required to a model for the large-scale homogeneity and the fine-scale condensation of the universe. In particular, these densities can take locally infinitely large values (black holes) and at once, in the large scales they are independent of the location. We also show some locally singular densities satisfying the large scale isotropy property.
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Morana, Federico Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
MUCKENHOUPT WEIGHTS
HOMOGENEITY
COSMOLOGICAL HYPOTHESIS
ISOTROPY
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:11336/291671
Acceder
id CONICETDig_6a6e93a84247d6e08f3e2f1cae2cd5de
oai_identifier_str oai:ri.conicet.gov.ar:11336/291671
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densitiesAimar, Hugo AlejandroMorana, Federico MaximilianoMUCKENHOUPT WEIGHTSHOMOGENEITYCOSMOLOGICAL HYPOTHESISISOTROPYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this brief note we aim to provide, through a well known class of singular densities in harmonic analysis, a simple approach to the fact that the homogeneity of the universe on scales of the order of a hundred millions light years is completely compatible with the fine-scale condensation of matter and energy. We give precise and quantitative definitions of homogeneity and isotropy on large scales. Then we show that Muckenhoupt densities have the ingredients required to a model for the large-scale homogeneity and the fine-scale condensation of the universe. In particular, these densities can take locally infinitely large values (black holes) and at once, in the large scales they are independent of the location. We also show some locally singular densities satisfying the large scale isotropy property.Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Morana, Federico Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaUnión Matemática Argentina2025-03-29info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/291671Aimar, Hugo Alejandro; Morana, Federico Maximiliano; Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 68; 1; 29-3-2025; 69-780041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.3670info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:30:55Zoai:ri.conicet.gov.ar:11336/291671instacron: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:34982026-08-25 14:30:55.643CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
title Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
spellingShingle Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
Aimar, Hugo Alejandro
MUCKENHOUPT WEIGHTS
HOMOGENEITY
COSMOLOGICAL HYPOTHESIS
ISOTROPY
title_short Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
title_full Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
title_fullStr Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
title_full_unstemmed Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
title_sort Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
dc.creator.none.fl_str_mv Aimar, Hugo Alejandro
Morana, Federico Maximiliano
author Aimar, Hugo Alejandro
author_facet Aimar, Hugo Alejandro
Morana, Federico Maximiliano
author_role author
author2 Morana, Federico Maximiliano
author2_role author
dc.subject.none.fl_str_mv MUCKENHOUPT WEIGHTS
HOMOGENEITY
COSMOLOGICAL HYPOTHESIS
ISOTROPY
topic MUCKENHOUPT WEIGHTS
HOMOGENEITY
COSMOLOGICAL HYPOTHESIS
ISOTROPY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this brief note we aim to provide, through a well known class of singular densities in harmonic analysis, a simple approach to the fact that the homogeneity of the universe on scales of the order of a hundred millions light years is completely compatible with the fine-scale condensation of matter and energy. We give precise and quantitative definitions of homogeneity and isotropy on large scales. Then we show that Muckenhoupt densities have the ingredients required to a model for the large-scale homogeneity and the fine-scale condensation of the universe. In particular, these densities can take locally infinitely large values (black holes) and at once, in the large scales they are independent of the location. We also show some locally singular densities satisfying the large scale isotropy property.
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Morana, Federico Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description In this brief note we aim to provide, through a well known class of singular densities in harmonic analysis, a simple approach to the fact that the homogeneity of the universe on scales of the order of a hundred millions light years is completely compatible with the fine-scale condensation of matter and energy. We give precise and quantitative definitions of homogeneity and isotropy on large scales. Then we show that Muckenhoupt densities have the ingredients required to a model for the large-scale homogeneity and the fine-scale condensation of the universe. In particular, these densities can take locally infinitely large values (black holes) and at once, in the large scales they are independent of the location. We also show some locally singular densities satisfying the large scale isotropy property.
publishDate 2025
dc.date.none.fl_str_mv 2025-03-29
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/11336/291671
Aimar, Hugo Alejandro; Morana, Federico Maximiliano; Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 68; 1; 29-3-2025; 69-78
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/291671
identifier_str_mv Aimar, Hugo Alejandro; Morana, Federico Maximiliano; Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 68; 1; 29-3-2025; 69-78
0041-6932
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.3670
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 Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
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_ 1874774042379026432
score 13.265058

Publicaciones similares