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Kochen-Specker Theorem in Krein Space

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Abstract

The well known Kochen-Specker’s theorem (Kochen and Specker J. Math. Mech. 17:59–87, 1967) is devoted to the problem of hidden variables in quantum mechanics. In the paper we present a geometric proof for an indefinite analogy of Kochen-Specker’s theorem. On the real three-dimensional Krein space there exists unique two-valued probability measure.

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Authors and Affiliations

  1. Kazan Federal University, Kazan, Russia

    Marjan Matvejchuk & Elena Utkina

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  1. Marjan Matvejchuk
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  2. Elena Utkina
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Correspondence to Marjan Matvejchuk.

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Matvejchuk, M., Utkina, E. Kochen-Specker Theorem in Krein Space. Int J Theor Phys 53, 3658–3665 (2014). https://doi.org/10.1007/s10773-014-2041-9

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  • DOI: https://doi.org/10.1007/s10773-014-2041-9

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