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

2013; Elsevier BV; Volume: 45; Linguagem: Inglês

10.1016/j.shpsb.2013.10.003

1879-2502

Christian de Ronde, Héctor Freytes, Graciela Domenech,

Origins and Evolution of Life

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.