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


Abstract
In this paper we attempt to physically interpret the Modal Kochen–Specker 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.
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DOI 10.1016/j.shpsb.2013.10.003
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References found in this work BETA

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Quantum Mechanics, Chance and Modality.Dennis Dieks - 2010 - Philosophica 83 (1):117-137.
Probability in Modal Interpretations of Quantum Mechanics.Dennis Dieks - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):292-310.

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Modality and Contextuality in Topos Quantum Theory.Benjamin Eva - 2016 - Studia Logica 104 (6):1099-1118.

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