Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2106.03169 · Royal Society Open Science

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

Richard David Gill

Published Feb 1, 2022• 2 citations
arXivHTMLPDF

Abstract

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.
DOI
10.1098/rsos.201909

Related papers

Expression of concern: Quantum correlations are weaved by the spinors of the Euclidean primitives

The Royal Society Open Science Editorial Team

Royal Society Open Science•Apr 1, 2019•2 citations

Expression of Concern following post-publication assessment of Quantum correlations are weaved by the spinors of the Euclidean primitives

The Royal Society Open Science Editorial Team

Royal Society Open Science•Oct 1, 2020•1 citation

Response to ‘Comment on “Quantum correlations are weaved by the spinors of the Euclidean primitives”’

Joy Christian

In this paper, I respond to a critique of one of my papers previously published in the Royal Society Open Science entitled ‘Quantum correlations are weaved by the spinors of the Euclidean primitives.’ Without engaging with the geometrical framework presented in my paper, the critique incorrectly claims that there are mathematical errors in it. I demonstrate that the critique is based on a series of misunderstandings, and refute each of its claims of error. I also bring out a number of logical, mathematical and conceptual errors from the critique and the critiques it relies on.

arXiv:2211.09867•Royal Society Open Science•Nov 1, 2022•21 citations

Does Geometric Algebra provide a loophole to Bell's Theorem? (with corrections)

Richard David Gill

In 2007, and in a series of later papers, Joy Christian claimed to refute Bell's theorem, presenting an alleged local realistic model of the singlet correlations using techniques from Geometric Algebra (GA). Several authors published papers refuting his claims, and Christian's ideas did not gain acceptance. However, he recently succeeded in publishing yet more ambitious and complex versions of his theory in fairly mainstream journals. How could this be? The mathematics and logic of Bell's theorem is simple and transparent and has been intensely studied and debated for over 50 years. Christian claims to have a mathematical counterexample to a purely mathematical theorem. Each new version of Christian's model used new devices to circumvent Bell's theorem or depended on a new way to misunderstand Bell's work. These devices and misinterpretations are in common use by other Bell critics, so it useful to identify and name them. I hope that this paper can serve as a useful resource to those who need to evaluate new "disproofs of Bell's theorem". Christian's fundamental idea is simple and quite original: he gives a probabilistic interpretation of the fundamental GA equation a.b = (ab + ba)/2. After that, ambiguous notation and technical complexity allow sign errors to be hidden from sight, and new mathematical errors can be introduced.

arXiv:1203.1504•Mar 7, 2012•10 citations

The Quantum World is not Built up from Correlations

Michael Seevinck

arXiv:quant-ph/0508175•Foundations of Physics•Jul 6, 2006•19 citations

Comment on “Spin correlations in elastic e$$^{+}$$e$$^{-}$$ scattering in QED”

Kort Beck, Gabriel Jacobo

arXiv:2209.13986•The European Physical Journal D•May 1, 2023•5 citations
In this paper, I respond to a critique of one of my papers previously published in the Royal Society Open Science entitled ‘Quantum correlations are weaved by the spinors of the Euclidean primitives.’ Without engaging with the geometrical framework presented in my paper, the critique incorrectly claims that there are mathematical errors in it. I demonstrate that the critique is based on a series of misunderstandings, and refute each of its claims of error. I also bring out a number of logical, mathematical and conceptual errors from the critique and the critiques it relies on.
In 2007, and in a series of later papers, Joy Christian claimed to refute Bell's theorem, presenting an alleged local realistic model of the singlet correlations using techniques from Geometric Algebra (GA). Several authors published papers refuting his claims, and Christian's ideas did not gain acceptance. However, he recently succeeded in publishing yet more ambitious and complex versions of his theory in fairly mainstream journals. How could this be? The mathematics and logic of Bell's theorem is simple and transparent and has been intensely studied and debated for over 50 years. Christian claims to have a mathematical counterexample to a purely mathematical theorem. Each new version of Christian's model used new devices to circumvent Bell's theorem or depended on a new way to misunderstand Bell's work. These devices and misinterpretations are in common use by other Bell critics, so it useful to identify and name them. I hope that this paper can serve as a useful resource to those who need to evaluate new "disproofs of Bell's theorem". Christian's fundamental idea is simple and quite original: he gives a probabilistic interpretation of the fundamental GA equation a.b = (ab + ba)/2. After that, ambiguous notation and technical complexity allow sign errors to be hidden from sight, and new mathematical errors can be introduced.
Comment on “Spin correlations in elastic e+^{+}+e−^{-}− scattering in QED”