Abstract:
Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system. © 2007 Springer Science+Business Media, LLC.
Registro:
Documento: |
Artículo
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Título: | A topological study of contextuality and modality in quantum mechanics |
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 Dipartimento di Scienze e Pedagogiche e Filosofiche, Università degli Studi di Cagliari, Via Is Mirrionis 1, 09123 Cagliari, Italy Instituto Argentino de Matemática, Saavedra 15, Buenos Aires, Argentina Center Leo Apostel (CLEA), Brussels Free University, Krijgskundestraat 33, 1160 Brussels, Belgium Foundations of the Exact Sciences (FUND), Brussels Free University, Krijgskundestraat 33, 1160 Brussels, Belgium
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Palabras clave: | Contextuality; Modal; Quantum logic; Sheaves |
Año: | 2008
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Volumen: | 47
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Número: | 1
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Página de inicio: | 168
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Página de fin: | 174
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DOI: |
http://dx.doi.org/10.1007/s10773-007-9595-8 |
Título revista: | International Journal of Theoretical Physics
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Título revista abreviado: | Int. J. Theor. Phys.
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ISSN: | 00207748
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v47_n1_p168_Domenech |
Referencias:
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Citas:
---------- APA ----------
Domenech, G., Freytes, H. & De Ronde, C.
(2008)
. A topological study of contextuality and modality in quantum mechanics. International Journal of Theoretical Physics, 47(1), 168-174.
http://dx.doi.org/10.1007/s10773-007-9595-8---------- CHICAGO ----------
Domenech, G., Freytes, H., De Ronde, C.
"A topological study of contextuality and modality in quantum mechanics"
. International Journal of Theoretical Physics 47, no. 1
(2008) : 168-174.
http://dx.doi.org/10.1007/s10773-007-9595-8---------- MLA ----------
Domenech, G., Freytes, H., De Ronde, C.
"A topological study of contextuality and modality in quantum mechanics"
. International Journal of Theoretical Physics, vol. 47, no. 1, 2008, pp. 168-174.
http://dx.doi.org/10.1007/s10773-007-9595-8---------- VANCOUVER ----------
Domenech, G., Freytes, H., De Ronde, C. A topological study of contextuality and modality in quantum mechanics. Int. J. Theor. Phys. 2008;47(1):168-174.
http://dx.doi.org/10.1007/s10773-007-9595-8