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Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables

Christian, Joy (2007) Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables. [Preprint]

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    Abstract

    It is shown that Bell's theorem fails for the Clifford algebra valued local realistic variables. This is made evident by exactly reproducing quantum mechanical expectation value for the EPR-Bohm type spin correlations observable by means of a local, deterministic, Clifford algebra valued variable, without necessitating either remote contextuality or backward causation. Since Clifford product of multivector variables is non-commutative in general, the spin correlations derived within our locally causal model violate the CHSH inequality just as strongly as their quantum mechanical counterparts.


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    Item Type: Preprint
    Keywords: Bell's Theorem; Local Causality; Local realism; EPR-Bohm Correlations; Quantum Mechanics
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Joy Christian
    Date Deposited: 03 Aug 2010
    Last Modified: 07 Oct 2010 11:19
    Item ID: 5504
    URI: http://philsci-archive.pitt.edu/id/eprint/5504

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