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arXiv:0707.2223

"Disproof of Bell's Theorem" : more critics

Philippe Grangier

Published Jul 15, 2007• 3 citations
arXivHTMLPDF

Abstract

In a series of recent papers (quant-ph/0703179, quant-ph/0703244, arXiv:0707.1333) Joy Christian claims to have "disproved Bell's theorem". Though his work is certainly intellectually stimulating, we argue below that his main claim is unwarranted.
DOI
10.48550/arxiv.0707.2223

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Disproof of ''Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables''

Tung Ten Yong

Key mathematical and conceptual errors are pointed out regarding the paper ''Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables'' by Joy Christian.

arXiv:0712.1637•Dec 11, 2007•0 citations

Comments on "Disproof of Bell's theorem"

Florin Moldoveanu

In a series of very interesting papers [1-7], Joy Christian constructed a counterexample to Bell's theorem. This counterexample does not have the same assumptions as the original Bell's theorem, and therefore it does not represent a genuine disproof in a strict mathematical sense. However, assuming the physical relevance of the new assumptions, the counterexample is shown to be a contextual hidden variable theory. If Bell's theorem's importance is to rule out contextual hidden variable theories obeying relativistic locality, then Joy Christian's counterexample achieves its aim. If however contextual hidden variables theories are not considered genuine physically theories and Bell's theorem's importance stems from its ability to be experimentally confirmed, then Joy Christian's counterexample does not diminish the importance of Bell's theorem. The implications of Joy Christian's counterexample are discussed in the context of information theory. Version 2 note: Subsequent analysis disproved the mathematical consistency of Joy Christian's model. This paper was based on the assumption of the mathematical validity of the model. Except for the addition of this note, the content of this paper was not modified in any other way.

arXiv:1107.1007•Jul 6, 2011•1 citation

Comment on: Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables

Marcin Pawłowski

We ''save'' Bell's Theorem by showing a flaw in Christian's argument.

arXiv:quant-ph/0703218•Mar 23, 2007•0 citations

Disproof of Joy Christian's "Disproof of Bell's theorem"

Florin Moldoveanu

Four critical elementary mathematical mistakes in Joy Christian's counterexample to Bell's theorem are presented. Consequently, Joy Christian's hidden variable model cannot reproduce any quantum mechanics results and cannot be used as a counterexample to Bell's theorem. The mathematical investigation is followed by a short discussion about the possibility to construct other hidden variable theories. A tutorial section on relevant Clifford algebra topics was added at the end to help interested readers decide for themselves the validity of Joy's claims. Also an appendix section discusses recent developments.

arXiv:1109.0535•Aug 28, 2011•4 citations

Disproof of Bell's Theorem: Reply to Critics

Joy Christian

This is a collection of my responses to the criticisms of my argument against the impossibility proof of John Bell, which aims to undermine any conceivable local realistic completion of quantum mechanics. I plan to periodically update this preprint instead of creating a new one for each response.

arXiv:quant-ph/0703244•Mar 26, 2007•7 citations

Refutation of Some Arguments Against my Disproof of Bell's Theorem

Joy Christian

In a couple of recent preprints Moldoveanu has suggested that there are errors in my disproof of Bell's theorem. Here I show that this claim is false. In particular, I show that my local-realistic framework is incorrectly and misleadingly presented in both of his preprints. In addition there are a number of serious mathematical and conceptual errors in his discussion of my framework. For example, contrary to his claim, my framework is manifestly non-contextual. In particular, quantum correlations are understood within it as purely topological effects, not contextual effects.

arXiv:1110.5876•Oct 19, 2011•3 citations
In a series of very interesting papers [1-7], Joy Christian constructed a counterexample to Bell's theorem. This counterexample does not have the same assumptions as the original Bell's theorem, and therefore it does not represent a genuine disproof in a strict mathematical sense. However, assuming the physical relevance of the new assumptions, the counterexample is shown to be a contextual hidden variable theory. If Bell's theorem's importance is to rule out contextual hidden variable theories obeying relativistic locality, then Joy Christian's counterexample achieves its aim. If however contextual hidden variables theories are not considered genuine physically theories and Bell's theorem's importance stems from its ability to be experimentally confirmed, then Joy Christian's counterexample does not diminish the importance of Bell's theorem. The implications of Joy Christian's counterexample are discussed in the context of information theory. Version 2 note: Subsequent analysis disproved the mathematical consistency of Joy Christian's model. This paper was based on the assumption of the mathematical validity of the model. Except for the addition of this note, the content of this paper was not modified in any other way.
Four critical elementary mathematical mistakes in Joy Christian's counterexample to Bell's theorem are presented. Consequently, Joy Christian's hidden variable model cannot reproduce any quantum mechanics results and cannot be used as a counterexample to Bell's theorem. The mathematical investigation is followed by a short discussion about the possibility to construct other hidden variable theories. A tutorial section on relevant Clifford algebra topics was added at the end to help interested readers decide for themselves the validity of Joy's claims. Also an appendix section discusses recent developments.
In a couple of recent preprints Moldoveanu has suggested that there are errors in my disproof of Bell's theorem. Here I show that this claim is false. In particular, I show that my local-realistic framework is incorrectly and misleadingly presented in both of his preprints. In addition there are a number of serious mathematical and conceptual errors in his discussion of my framework. For example, contrary to his claim, my framework is manifestly non-contextual. In particular, quantum correlations are understood within it as purely topological effects, not contextual effects.