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.

This is the latest version of this eprint.

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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