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

Joy Christian

Published 2007-03-20, updated 2010-04-22Version 3

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.

Comments: 4 pages; RevTeX4; Further elaborations may be found in arXiv:0904.4259, arXiv:0806.3078, arXiv:0707.1333, and arXiv:quant-ph/0703244
Categories: quant-ph, gr-qc, hep-th
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