Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics

In this paper we attempt to physically interpret the Modal Kochen–Specker (MKS) theorem. In order to do so, we analyze the features of the possible properties of quantum systems arising from the elements in an orthomodular lattice and distinguish the use of “possibility” in the classical and quantum...

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Authors: de Ronde, Christian, Freytes Solari, Hector Carlos, Domenech, Graciela
Format: article
Status:Published version
Publication Date:2013
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/33022
Online Access:http://hdl.handle.net/11336/33022
Access Level:Open access
Keyword:QUANTUM MECHANICS
MODALITY
KOCHEN SPECKER THEOREM
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
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spelling Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanicsde Ronde, ChristianFreytes Solari, Hector CarlosDomenech, GracielaQUANTUM MECHANICSMODALITYKOCHEN SPECKER THEOREMhttps://purl.org/becyt/ford/6.3https://purl.org/becyt/ford/6In this paper we attempt to physically interpret the Modal Kochen–Specker (MKS) theorem. In order to do so, we analyze the features of the possible properties of quantum systems arising from the elements in an orthomodular lattice and distinguish the use of “possibility” in the classical and quantum formalisms. Taking into account the modal and many worlds non-collapse interpretation of the projection postulate, we discuss how the MKS theorem rules the constraints to actualization, and thus, the relation between actual and possible realms.Fil: de Ronde, Christian. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía ; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Vrije Unviversiteit Brussel; BélgicaFil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina. Universita Degli Studi Di Firenze; ItaliaFil: Domenech, Graciela. Vrije Unviversiteit Brussel; Bélgica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. 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; ArgentinaElsevier2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/vnd.openxmlformats-officedocument.wordprocessingml.documentapplication/pdfhttp://hdl.handle.net/11336/33022Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics; Elsevier; Studies In History And Philosophy Of Modern Physics; 45; 12-2013; 11-181355-2198CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1404.5881info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1355219813000877info:eu-repo/semantics/altIdentifier/doi/10.1016/j.shpsb.2013.10.003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:00:43Zoai:ri.conicet.gov.ar:11336/33022instacron: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:34982024-05-08 14:00:43.59CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
title Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
spellingShingle Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
de Ronde, Christian
QUANTUM MECHANICS
MODALITY
KOCHEN SPECKER THEOREM
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
title_short Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
title_full Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
title_fullStr Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
title_full_unstemmed Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
title_sort Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics
dc.creator.none.fl_str_mv de Ronde, Christian
Freytes Solari, Hector Carlos
Domenech, Graciela
author de Ronde, Christian
author_facet de Ronde, Christian
Freytes Solari, Hector Carlos
Domenech, Graciela
author_role author
author2 Freytes Solari, Hector Carlos
Domenech, Graciela
author2_role author
author
dc.subject.none.fl_str_mv QUANTUM MECHANICS
MODALITY
KOCHEN SPECKER THEOREM
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
topic QUANTUM MECHANICS
MODALITY
KOCHEN SPECKER THEOREM
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
description In this paper we attempt to physically interpret the Modal Kochen–Specker (MKS) theorem. In order to do so, we analyze the features of the possible properties of quantum systems arising from the elements in an orthomodular lattice and distinguish the use of “possibility” in the classical and quantum formalisms. Taking into account the modal and many worlds non-collapse interpretation of the projection postulate, we discuss how the MKS theorem rules the constraints to actualization, and thus, the relation between actual and possible realms.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
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/11336/33022
Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics; Elsevier; Studies In History And Philosophy Of Modern Physics; 45; 12-2013; 11-18
1355-2198
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33022
identifier_str_mv Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics; Elsevier; Studies In History And Philosophy Of Modern Physics; 45; 12-2013; 11-18
1355-2198
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://arxiv.org/abs/1404.5881
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1355219813000877
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.shpsb.2013.10.003
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/zip
application/vnd.openxmlformats-officedocument.wordprocessingml.document
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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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