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

Many world interpretations (MWIs) 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 (MIs) which state that quantum mechanics does not provide an account of what "...

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Publicado: 2009
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v50_n7_p_Domenech
http://hdl.handle.net/20.500.12110/paper_00222488_v50_n7_p_Domenech
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00222488_v50_n7_p_Domenech
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spelling paper:paper_00222488_v50_n7_p_Domenech2023-06-08T14:48:16Z Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach Many world interpretations (MWIs) 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 (MIs) 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-type contradictions while MWI escape them. © 2009 American Institute of Physics. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v50_n7_p_Domenech http://hdl.handle.net/20.500.12110/paper_00222488_v50_n7_p_Domenech
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Many world interpretations (MWIs) 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 (MIs) 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-type contradictions while MWI escape them. © 2009 American Institute of Physics.
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
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
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v50_n7_p_Domenech
http://hdl.handle.net/20.500.12110/paper_00222488_v50_n7_p_Domenech
_version_ 1768545864519778304

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