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

@article{Gill2021CommentO,
  title={Comment on “Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality”},
  author={Richard David Gill},
  journal={IEEE Access},
  year={2021},
  volume={9},
  pages={44592-44598}
}
  • R. Gill
  • Published 30 January 2020
  • Physics
  • IEEE Access
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. Christian’s model does not generate the singlet correlations but in fact simply reproduces the Bertlmann effect. John Bell’s colleague Reinhold Bertlmann of CERN, in his younger days, always wore one pink and one blue sock, at random. The moment you saw his left foot, you knew what colour sock would be on his right foot. Action at a… 

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.

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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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

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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.

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

Pearle’s Hidden-Variable Model Revisited

TLDR
An example of a local hidden variables model which exactly reproduced the singlet correlations of quantum theory, through the device of data-rejection is given and it is shown that the model is simpler than first appears.

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.

The Geometric Algebra Lift of Qubits and Beyond

The Geometric Algebra formalism opens the door to developing a theory upgrading conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as geometrically

Gull’s Theorem Revisited

TLDR
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.

A robust mathematical model for a loophole-free Clauser–Horne experiment

Recent experiments (Giustina et al 2013 Nature 497 227–30; Christensen et al 2013 Phys. Rev. Lett. 111 130406) have reached detection efficiencies sufficient to close the detection loophole, testing

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We want to prove Bell's theorem using Fourier series expansion analysis. Comparing to already known algebraic methods, this is a new calculus-based model. Although the notation and procedure we use