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

TL;DR

This paper demonstrates that Bell's theorem does not hold when using Clifford algebra valued local variables, as they can reproduce quantum correlations without nonlocality or backward causation.

Contribution

It introduces a local realistic model using Clifford algebra valued variables that reproduces quantum correlations, challenging Bell's theorem assumptions.

Findings

Reproduces quantum spin correlations with local variables

Violates CHSH inequality similarly to quantum mechanics

Does not require nonlocality or backward causation

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.