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.

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

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Cited by in corpus (13)

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• Reply to "Comment on 'Dr. Bertlmann's Socks in a Quaternionic World of Ambidextral Reality'"
• Reply to "Comment on 'Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space'"
• Response to `Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"'
• Bell inequalities, Counterfactual Definiteness and Falsifiability
• A loophole of all `loophole-free' Bell-type theorems
• Comment on "Dr. Bertlmann's Socks in a Quaternionic World of Ambidextral Reality"
• Symmetric derivation of singlet correlations in a quaternionic 3-sphere model
• Comment on "Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space"
• Quaternion Spin
• Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"
• Local Quantum Mechanical Prediction of the Singlet State Using Geometric Algebra