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

@article{Christian2020DrBS,
  title={Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality},
  author={Joy Christian},
  journal={IEEE Access},
  year={2020},
  volume={8},
  pages={191028-191048}
}
Unlike our basic theories of space and time, quantum mechanics is not a locally causal theory. Moreover, it is widely believed that any hopes of restoring local causality within <italic>any</italic> realistic theory have been undermined by Bell’s theorem and the experimental investigations it has inspired. In this pedagogical paper, John S. Bell’s amusing example of Dr. Bertlmann’s socks to illustrate the results of these experiments is reconsidered, first within a toy model of a two… 

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 ‘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

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.

Local origins of quantum correlations rooted in geometric algebra

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

Symmetric Derivation of the Singlet Correlations within a Quaternionic 3-sphere

We present a symmetric derivation of the strong correlations predicted by the entangled singlet state in a local-realistic model in which the physical space is assumed to be a quaternionic 3-sphere,

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.

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

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

References

SHOWING 1-10 OF 58 REFERENCES

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

TLDR
Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.

La nouvelle cuisine

I and J

Pauli principle in Euclidean geometry

A macroscopic toy of Dirac and Stong shows how to detect 2π rotations in our world. A theorem in geometry shows the toy is maximal; no device in three dimensions can measure bigger angles than this

Dirac monopoles and the Hopf map S3 to S2

It is shown that the presence of point magnetic monopoles necessitates a fibre-bundle formulation of electrodynamics. The Hopf 'fibring' of S3 over a base space S2 with fibre S1 yields the Wu-Yang

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

Disproof of Bell’s Theorem: Illuminating the Illusion of Entanglement

  • 2nd ed. Boca Raton, FL, USA: Brwonwalker Press
  • 2014

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.

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.

Macroscopic Observability of Spinorial Sign Changes under 2π Rotations

The question of observability of sign changes under 2π rotations is considered. It is shown that in certain circumstances there are observable consequences of such sign changes in classical physics.
...