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Abstract:

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.

Registro:

Documento: Artículo
Título:Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach
Autor:Domenech, G.; Freytes, H.; De Ronde, C.
Filiación:Instituto de Astronomía y Física Del Espacio (IAFE), Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Universita Degli Studi di Cagliari, Via Is Mirrionis 1, 09123 Cagliari, Italy
Center Leo Apostel (CLEA), Vrije Universiteit Brussel, Krijgskunderstraat 33, 13-1160 Brussels, Belgium
Foundations of the Exact Sciences (FUND), Brussels Free University, Krijgskundestraat 33, 1160 Brussels, Belgium
Instituto Argentino de Matemática IAM-CONICET, Argentina
Año:2009
Volumen:50
Número:7
DOI: http://dx.doi.org/10.1063/1.3177454
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v50_n7_p_Domenech

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Citas:

---------- APA ----------
Domenech, G., Freytes, H. & De Ronde, C. (2009) . Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach. Journal of Mathematical Physics, 50(7).
http://dx.doi.org/10.1063/1.3177454
---------- CHICAGO ----------
Domenech, G., Freytes, H., De Ronde, C. "Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach" . Journal of Mathematical Physics 50, no. 7 (2009).
http://dx.doi.org/10.1063/1.3177454
---------- MLA ----------
Domenech, G., Freytes, H., De Ronde, C. "Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach" . Journal of Mathematical Physics, vol. 50, no. 7, 2009.
http://dx.doi.org/10.1063/1.3177454
---------- VANCOUVER ----------
Domenech, G., Freytes, H., De Ronde, C. Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach. J. Math. Phys. 2009;50(7).
http://dx.doi.org/10.1063/1.3177454