Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space

TL;DR

This paper introduces a local, deterministic, and realistic model within a curved spacetime that replicates quantum correlations in EPR-Bohm experiments without nonlocal assumptions, supported by numerical simulations.

Contribution

It presents a novel quaternionic Clifford-algebraic model of space that reproduces quantum predictions locally, challenging traditional interpretations of quantum nonlocality.

Findings

Model achieves exact quantum correlations without data rejection.

Numerical simulations confirm analytical results with high accuracy.

Implications for quantum security and computing are discussed.

Abstract

In the context of EPR-Bohm type experiments and spin detections confined to spacelike hypersurfaces, a local, deterministic and realistic model within a Friedmann-Robertson-Walker spacetime with a constant spatial curvature (S^3) is presented that describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism or backward causation. A singularity-free Clifford-algebraic representation of S^3 with vanishing spatial curvature and non-vanishing torsion is then employed to transform the model in a more elegant form. Several event-by-event numerical simulations of the model are presented, which confirm our analytical results with the accuracy of 4 parts in 10^4. Possible implications of our results for practical applications such as quantum security protocols and quantum computing are briefly discussed.