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Kochen-Specker theorem in the modal interpretation of quantum mechanics

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Abstract

According to the modal interpretation of quantum mechanics, subsystems of a quantum mechanical system have definite properties, the set of definite properties forming a partial Boolean algebra. It is shown that these partial Boolean algebras have no common extension (as a partial Boolean subalgebra of the properties of the total system) that is embeddable in a Boolean algebra. One has thus either to restrict the rules to preferred subsystems (Healey), or to advocate a shift in metaphysics (Dieks).

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  1. Faculty of Philosophy, University of Cambridge, CB3 9DA, Cambridge, UK

    Guido Bacciagaluppi

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  1. Guido Bacciagaluppi
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Bacciagaluppi, G. Kochen-Specker theorem in the modal interpretation of quantum mechanics. Int J Theor Phys 34, 1205–1216 (1995). https://doi.org/10.1007/BF00676230

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  • DOI: https://doi.org/10.1007/BF00676230

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