Effect upon universal order of Hubble expansion

Autores
Frieden, B. R.; Plastino, Ángel Luis; Plastino, Ángel Ricardo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The level of order R in a spherical system of radius r0 with a probability amplitude function ψ(x),x=r,θ,φ obeys R=(12)r02I, where I=4∫dx|∇ψ|2 is its Fisher information level. We show that a flat space universe obeying the RobertsonWalker metric has an invariant value of the order as it undergoes either uniform Hubble expansion or contraction. This means that Hubble expansion per se does not cause a loss of universal order as time progresses. Instead, coarse graining processes characterizing decoherence and friction might cause a loss of order. Alternatively, looking backward in time, i.e. under Hubble contraction, as the big bang is approached and the Hubble radius r0 approaches small values, the structure in the amplitude function ψ(x) becomes ever more densely packed, increasing all local slopes ∇ψ and causing the Fisher information I to approach unboundedly large values. As a speculation, this ever-well locates the initial position of the universe in a larger, multiverse. © 2011 Elsevier B.V. All rights reserved.
Fil: Frieden, B. R.. University of Arizona; Estados Unidos
Fil: Plastino, Ángel Luis. 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
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; España
Materia
Coarse Graining
Fisher Information
Hubble Expansion
Order And Complexity
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:11336/76031

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spelling Effect upon universal order of Hubble expansionFrieden, B. R.Plastino, Ángel LuisPlastino, Ángel RicardoCoarse GrainingFisher InformationHubble ExpansionOrder And Complexityhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The level of order R in a spherical system of radius r0 with a probability amplitude function ψ(x),x=r,θ,φ obeys R=(12)r02I, where I=4∫dx|∇ψ|2 is its Fisher information level. We show that a flat space universe obeying the RobertsonWalker metric has an invariant value of the order as it undergoes either uniform Hubble expansion or contraction. This means that Hubble expansion per se does not cause a loss of universal order as time progresses. Instead, coarse graining processes characterizing decoherence and friction might cause a loss of order. Alternatively, looking backward in time, i.e. under Hubble contraction, as the big bang is approached and the Hubble radius r0 approaches small values, the structure in the amplitude function ψ(x) becomes ever more densely packed, increasing all local slopes ∇ψ and causing the Fisher information I to approach unboundedly large values. As a speculation, this ever-well locates the initial position of the universe in a larger, multiverse. © 2011 Elsevier B.V. All rights reserved.Fil: Frieden, B. R.. University of Arizona; Estados UnidosFil: Plastino, Ángel Luis. 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; ArgentinaFil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; EspañaElsevier Science2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76031Frieden, B. R.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Effect upon universal order of Hubble expansion; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 1-2; 1-2012; 410-4130378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.08.005info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S037843711100611Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:33:20Zoai:ri.conicet.gov.ar:11336/76031instacron: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:34982025-10-22 11:33:21.202CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Effect upon universal order of Hubble expansion
title Effect upon universal order of Hubble expansion
spellingShingle Effect upon universal order of Hubble expansion
Frieden, B. R.
Coarse Graining
Fisher Information
Hubble Expansion
Order And Complexity
title_short Effect upon universal order of Hubble expansion
title_full Effect upon universal order of Hubble expansion
title_fullStr Effect upon universal order of Hubble expansion
title_full_unstemmed Effect upon universal order of Hubble expansion
title_sort Effect upon universal order of Hubble expansion
dc.creator.none.fl_str_mv Frieden, B. R.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author Frieden, B. R.
author_facet Frieden, B. R.
Plastino, Ángel Luis
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Ángel Luis
Plastino, Ángel Ricardo
author2_role author
author
dc.subject.none.fl_str_mv Coarse Graining
Fisher Information
Hubble Expansion
Order And Complexity
topic Coarse Graining
Fisher Information
Hubble Expansion
Order And Complexity
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The level of order R in a spherical system of radius r0 with a probability amplitude function ψ(x),x=r,θ,φ obeys R=(12)r02I, where I=4∫dx|∇ψ|2 is its Fisher information level. We show that a flat space universe obeying the RobertsonWalker metric has an invariant value of the order as it undergoes either uniform Hubble expansion or contraction. This means that Hubble expansion per se does not cause a loss of universal order as time progresses. Instead, coarse graining processes characterizing decoherence and friction might cause a loss of order. Alternatively, looking backward in time, i.e. under Hubble contraction, as the big bang is approached and the Hubble radius r0 approaches small values, the structure in the amplitude function ψ(x) becomes ever more densely packed, increasing all local slopes ∇ψ and causing the Fisher information I to approach unboundedly large values. As a speculation, this ever-well locates the initial position of the universe in a larger, multiverse. © 2011 Elsevier B.V. All rights reserved.
Fil: Frieden, B. R.. University of Arizona; Estados Unidos
Fil: Plastino, Ángel Luis. 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
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; España
description The level of order R in a spherical system of radius r0 with a probability amplitude function ψ(x),x=r,θ,φ obeys R=(12)r02I, where I=4∫dx|∇ψ|2 is its Fisher information level. We show that a flat space universe obeying the RobertsonWalker metric has an invariant value of the order as it undergoes either uniform Hubble expansion or contraction. This means that Hubble expansion per se does not cause a loss of universal order as time progresses. Instead, coarse graining processes characterizing decoherence and friction might cause a loss of order. Alternatively, looking backward in time, i.e. under Hubble contraction, as the big bang is approached and the Hubble radius r0 approaches small values, the structure in the amplitude function ψ(x) becomes ever more densely packed, increasing all local slopes ∇ψ and causing the Fisher information I to approach unboundedly large values. As a speculation, this ever-well locates the initial position of the universe in a larger, multiverse. © 2011 Elsevier B.V. All rights reserved.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
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/11336/76031
Frieden, B. R.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Effect upon universal order of Hubble expansion; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 1-2; 1-2012; 410-413
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76031
identifier_str_mv Frieden, B. R.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Effect upon universal order of Hubble expansion; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 1-2; 1-2012; 410-413
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2011.08.005
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S037843711100611X
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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
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