Comment on “Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space”

@article{Gill2021CommentO,
  title={Comment on “Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space”},
  author={Richard David Gill},
  journal={IEEE Access},
  year={2021},
  volume={PP},
  pages={1-1}
}
  • R. Gill
  • Published 27 February 2021
  • Mathematics
  • IEEE Access
I point out critical errors in the paper “Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space” by J. Christian, published in IEEE Access. Christian’s paper in fact contains several conflicting models. None of them form counterexamples to Bell’s theorem. Most of Christian’s paper is devoted to a model based on the detection loophole due to Pearle (1970). 
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Reply to “Comment on ‘Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space”’

In this paper, I respond to a critique of one of my papers previously published in this journal, entitled “Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space.” That paper…

Comment on ‘Quantum correlations are weaved by the spinors of the Euclidean primitives’

  • R. Gill
  • Philosophy
    Royal Society Open Science
  • 2022
I point out fundamental mathematical errors in the recent paper published in this journal ‘Quantum correlations are weaved by the spinors of the Euclidean primitives’ by Joy Christian.

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References

SHOWING 1-10 OF 14 REFERENCES

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

TLDR
A local, deterministic and realistic model within a Friedmann-Robertson-Walker spacetime with a constant spatial curvature that describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson is presented.

Comment on “Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality”

TLDR
I point out critical errors in the article “Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality” by J. Christian, published in IEEE ACCESS, and suggest that a possible role for Geometric Algebra is still wide open and deserves further investigation.

Reply to “Comment on ‘Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality”’

TLDR
This response to a critique of one of my papers is demonstrated point by point that, contrary to its claims, the critique has not found any mistakes in the paper, either in the analytical model of the singlet correlations or in its event-by-event numerical simulation based on Geometric Algebra.

A 1d Up Approach to Conformal Geometric Algebra: Applications in Line Fitting and Quantum Mechanics

We discuss an alternative approach to the conformal geometric algebra (CGA) in which just a single extra dimension is necessary, as compared to the two normally used. This is made possible by working…

Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality

TLDR
This pedagogical paper considers how singlet correlations between a pair of entangled fermions can be understood as classically as those between Dr. Bertlmann’s colorful socks within a toy model and a real world of three-dimensional quaternionic sphere.

Hidden-Variable Example Based upon Data Rejection

Quantum correlations are weaved by the spinors of the Euclidean primitives

TLDR
The resulting geometrical framework thus overcomes Bell’s theorem by producing a strictly deterministic and realistic framework that allows a locally causal understanding of all quantum correlations, without requiring either remote contextuality or backward causation.

Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres

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The data imply statistically significant rejection of the local-realist null hypothesis and could be used for testing less-conventional theories, and for implementing device-independent quantum-secure communication and randomness certification.

ON THE EINSTEIN PODOLSKY ROSEN PARADOX*

THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional…

Geometric Algebra for Physicists

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with…