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 a...

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Autor principal: De Ronde, C.
Otros Autores: Freytes, H., Domenech, Graciela
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2014
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100 1 |a De Ronde, C. 
245 1 0 |a Interpreting the Modal Kochen-Specker theorem: Possibility and many worlds in quantum mechanics 
260 |c 2014 
270 1 0 |m De Ronde, C.; Instituto de Filosofía Dr. Alejandro Korn (UBA-CONICET)Argentina; email: cderonde@gmail.com 
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504 |a Domenech, G., Freytes, H., de Ronde, C., A topological study of contextuality and modality in quantum mechanics (2008) International Journal of Theoretical Physics, 47, pp. 168-174 
504 |a Domenech, G., Freytes, H., de Ronde, C., Modal-type orthomodular logic (2009) Mathematical Logic Quarterly, 3, pp. 307-319 
504 |a Domenech, G., Freytes, H., de Ronde, C., Many worlds and modality in the interpretation of quantum mechanics. An algebraic approach (2009) Journal of Mathematical Physics, 50, p. 072108 
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506 |2 openaire  |e Política editorial 
520 3 |a 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. © 2013 Elsevier Ltd.  |l eng 
536 |a Detalles de la financiación: Fonds Wetenschappelijk Onderzoek, G.0405.08 
536 |a Detalles de la financiación: We wish to thank an anonymous referee for his/her comments and recommendations on an earlier draft of this paper. C. de Ronde wishes to thank very specially Michiel Seevinck for proposing the need of a physical justification of the MKS theorem. This paper is greatly indebted for his questioning. He also wishes to thank Dennis Dieks for comments and suggestions on an earlier draft of this paper. This work was partially supported by the following Grants: PIP 112-201101-00636 , Ubacyt 2011/2014 635 , FWO project G.0405.08 and FWO-research community W0.030.06 . CONICET RES. 4541-12 (2013-2014). 
593 |a Instituto de Filosofía Dr. Alejandro Korn (UBA-CONICET), Argentina 
593 |a Center Leo Apostel for Interdisciplinary Studies, Foundations of the Exact Sciences (Vrije Universiteit Brussel), Belgium 
593 |a Dipartimento di Matematica e Informatica, U. Dini Viale Morgagni, 67/a, 50134 Firenze, Italy 
593 |a Departamento de matemtica (UNR-CONICET), Av Pellegrini, 250 Rosario, Argentina 
593 |a Instituto de Astronomía y Física del Espacio (UBA-CONICET), Argentina 
690 1 0 |a KOCHEN-SPECKER THEOREM 
690 1 0 |a MANY WORLDS 
690 1 0 |a MODALITY 
690 1 0 |a QUANTUM LOGIC 
700 1 |a Freytes, H. 
700 1 |a Domenech, Graciela 
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