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

Christian, Joy (2019) Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space. IEEE Access, 7. pp. 133388-133409.

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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.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Christian, Joyjjc@alum.bu.edu
Keywords: Bell's theorem, determinism, EPR argument, Friedmann-Robertson-Walker spacetime, Geometric Algebra, local causality, local realism, quantum mechanics, rotation groups, S^3, topology.
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Joy Christian
Date Deposited: 09 Oct 2019 04:10
Last Modified: 09 Oct 2019 04:10
Item ID: 16492
Journal or Publication Title: IEEE Access
Publisher: IEEE
Official URL: https://doi.org/10.1109/ACCESS.2019.2941275
DOI or Unique Handle: https://doi.org/10.1109/ACCESS.2019.2941275
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Date: 13 September 2019
Page Range: pp. 133388-133409
Volume: 7
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/16492

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