Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach

Autores
Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Many worlds interpretations (MWI) of quantum mechanics avoid the measurement problem by considering every term in the quantum superposition as actual. A seemingly opposed solution is proposed by modal interpretations (MI) which state that quantum mechanics does not provide an account of what ?actually is the case?, but rather deals with what ?might be the case?, i.e. with possibilities. In this paper we provide an algebraic framework which allows us to analyze in depth the modal aspects of MWI. Within our general formal scheme we also provide a formal comparison between MWI and MI, in particular, we provide a formal understanding of why ?even though both interpretations share the same formal structure? MI fall pray of Kochen-Specker (KS) type contradictions while MWI escape them.
Fil: Domenech, Graciela. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universita degli Studi di Cagliari; Italia
Fil: de Ronde, Christian. Vrije Unviversiteit Brussel; Bélgica. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina
Materia
quantum logic
many worlds interpretation
modal interpretation
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:11336/21551
Acceder
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spelling Many worlds and modality in the interpretation of quantum mechanics: an algebraic approachDomenech, GracielaFreytes Solari, Hector Carlosde Ronde, Christianquantum logicmany worlds interpretationmodal interpretationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Many worlds interpretations (MWI) of quantum mechanics avoid the measurement problem by considering every term in the quantum superposition as actual. A seemingly opposed solution is proposed by modal interpretations (MI) which state that quantum mechanics does not provide an account of what ?actually is the case?, but rather deals with what ?might be the case?, i.e. with possibilities. In this paper we provide an algebraic framework which allows us to analyze in depth the modal aspects of MWI. Within our general formal scheme we also provide a formal comparison between MWI and MI, in particular, we provide a formal understanding of why ?even though both interpretations share the same formal structure? MI fall pray of Kochen-Specker (KS) type contradictions while MWI escape them.Fil: Domenech, Graciela. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universita degli Studi di Cagliari; ItaliaFil: de Ronde, Christian. Vrije Unviversiteit Brussel; Bélgica. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; ArgentinaAmerican Institute of Physics2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21551Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach; American Institute of Physics; Journal Of Mathematical Physics; 50; 7; 12-2009; 1-9; 0721080022-2488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.3177454info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.3177454info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:59:12Zoai:ri.conicet.gov.ar:11336/21551instacron: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:34982025-09-03 09:59:13.067CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
title Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
spellingShingle Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
Domenech, Graciela
quantum logic
many worlds interpretation
modal interpretation
title_short Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
title_full Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
title_fullStr Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
title_full_unstemmed Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
title_sort Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
dc.creator.none.fl_str_mv Domenech, Graciela
Freytes Solari, Hector Carlos
de Ronde, Christian
author Domenech, Graciela
author_facet Domenech, Graciela
Freytes Solari, Hector Carlos
de Ronde, Christian
author_role author
author2 Freytes Solari, Hector Carlos
de Ronde, Christian
author2_role author
author
dc.subject.none.fl_str_mv quantum logic
many worlds interpretation
modal interpretation
topic quantum logic
many worlds interpretation
modal interpretation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Many worlds interpretations (MWI) of quantum mechanics avoid the measurement problem by considering every term in the quantum superposition as actual. A seemingly opposed solution is proposed by modal interpretations (MI) which state that quantum mechanics does not provide an account of what ?actually is the case?, but rather deals with what ?might be the case?, i.e. with possibilities. In this paper we provide an algebraic framework which allows us to analyze in depth the modal aspects of MWI. Within our general formal scheme we also provide a formal comparison between MWI and MI, in particular, we provide a formal understanding of why ?even though both interpretations share the same formal structure? MI fall pray of Kochen-Specker (KS) type contradictions while MWI escape them.
Fil: Domenech, Graciela. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universita degli Studi di Cagliari; Italia
Fil: de Ronde, Christian. Vrije Unviversiteit Brussel; Bélgica. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina
description Many worlds interpretations (MWI) of quantum mechanics avoid the measurement problem by considering every term in the quantum superposition as actual. A seemingly opposed solution is proposed by modal interpretations (MI) which state that quantum mechanics does not provide an account of what ?actually is the case?, but rather deals with what ?might be the case?, i.e. with possibilities. In this paper we provide an algebraic framework which allows us to analyze in depth the modal aspects of MWI. Within our general formal scheme we also provide a formal comparison between MWI and MI, in particular, we provide a formal understanding of why ?even though both interpretations share the same formal structure? MI fall pray of Kochen-Specker (KS) type contradictions while MWI escape them.
publishDate 2009
dc.date.none.fl_str_mv 2009-12
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/11336/21551
Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach; American Institute of Physics; Journal Of Mathematical Physics; 50; 7; 12-2009; 1-9; 072108
0022-2488
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21551
identifier_str_mv Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach; American Institute of Physics; Journal Of Mathematical Physics; 50; 7; 12-2009; 1-9; 072108
0022-2488
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1063/1.3177454
info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/10.1063/1.3177454
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
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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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score 13.13397

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