Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space
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.
Keywords
Cite
@article{arxiv.1405.2355,
title = {Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space},
author = {Joy Christian},
journal= {arXiv preprint arXiv:1405.2355},
year = {2019}
}
Comments
24 pages, 5 figures (included); The title is changed and a new appendix entitled "Questions and Answers" is added following the request by the editors of IEEE Access