Christian, Joy
(2019)
Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space.
IEEE Access, 7.
pp. 133388-133409.
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.
| Item Type: |
Published Article or Volume
|
| Creators: |
|
| 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: |
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.pitt.edu/id/eprint/16492 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}