Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space
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<sup>3</sup>) is presented that describes simultaneous measure...
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2019-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/8836453/ |
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doaj-d9c37496af6a42e7abdcda95931de2802021-04-05T17:14:43ZengIEEEIEEE Access2169-35362019-01-01713338813340910.1109/ACCESS.2019.29412758836453Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical SpaceJoy Christian0https://orcid.org/0000-0002-8741-6943Einstein Centre for Local-Realistic Physics, Oxford, U.K.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<sup>3</sup>) 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<sup>3</sup> 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<sup>4</sup>. Possible implications of our results for practical applications such as quantum security protocols and quantum computing are briefly discussed.https://ieeexplore.ieee.org/document/8836453/Bell’s theoremdeterminismEPR argumentFriedmann-Robertson-Walker spacetimeGeometric Algebralocal causality |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Joy Christian |
| spellingShingle |
Joy Christian Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space IEEE Access Bell’s theorem determinism EPR argument Friedmann-Robertson-Walker spacetime Geometric Algebra local causality |
| author_facet |
Joy Christian |
| author_sort |
Joy Christian |
| title |
Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space |
| title_short |
Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space |
| title_full |
Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space |
| title_fullStr |
Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space |
| title_full_unstemmed |
Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space |
| title_sort |
bell’s theorem versus local realism in a quaternionic model of physical space |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2019-01-01 |
| description |
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<sup>3</sup>) 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<sup>3</sup> 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<sup>4</sup>. Possible implications of our results for practical applications such as quantum security protocols and quantum computing are briefly discussed. |
| topic |
Bell’s theorem determinism EPR argument Friedmann-Robertson-Walker spacetime Geometric Algebra local causality |
| url |
https://ieeexplore.ieee.org/document/8836453/ |
| work_keys_str_mv |
AT joychristian bellx2019stheoremversuslocalrealisminaquaternionicmodelofphysicalspace |
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