# 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} }

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).

## 4 Citations

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

- PhilosophyIEEE Access
- 2022

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’

- PhilosophyRoyal 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.

### Local origins of quantum correlations rooted in geometric algebra

- Mathematics
- 2022

In previous publications I have proposed a geometrical framework underpinning the local, realistic, and deterministic origins of the strong quantum correlations observed in Nature, without resorting…

### Gull’s Theorem Revisited

- Computer ScienceEntropy
- 2022

In 2016, Steve Gull has outlined has outlined a proof of Bell’s theorem using Fourier theory, and it just needs a third step: rewriting an expectation as the expectation of a conditional expectation given the hidden variables.

## References

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

- PhysicsIEEE Access
- 2019

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”

- PhysicsIEEE Access
- 2021

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”’

- PhysicsIEEE Access
- 2021

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

- Mathematics
- 2020

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

- PhysicsIEEE Access
- 2020

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.

### Quantum correlations are weaved by the spinors of the Euclidean primitives

- MathematicsRoyal Society Open Science
- 2018

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

- PhysicsNature
- 2015

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*

- Physics
- 2017

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

- Mathematics, Physics
- 2003

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…