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
Creators:	Creators Email ORCID Christian, Joy
Keywords:	Bell's Theorem; Local Causality; Local realism; EPR-Bohm Correlations; Quantum Mechanics
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Joy Christian
Date Deposited:	03 Aug 2010
Last Modified:	07 Oct 2010 15:19
Item ID:	5504
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	March 2007
URI:	https://philsci-archive.pitt.edu/id/eprint/5504

Available Versions of this Item

• Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables. (deposited 13 Jul 2007)
  • Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables. (deposited 13 Jul 2007)
    • Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables. (deposited 03 Aug 2010) [Currently Displayed]

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