I have published a new paper on the arXiv. In the paper, I compare the mistakes by John S. Bell and John von Neumann in their respective theorems against hidden variable theories.
Here is the paper: https://arxiv.org/abs/1704.02876. I also demonstrate in the paper how John Bell exposed a mistake in the no-go theorem by von Neumann against hidden variable theories, and then went on to make the same mistake himself in his own no-go theorem against their locally causal counterpart. The cost of Bell's mistake to physics is immeasurable.
Bell's Mistake: The linear sum of eigenvalues is not an eigenvalue of the linear sum of the observables as Bell and his followers assume to derive the bounds of on the CHSH.
Once Bell's mistake is corrected, it is straightforward to derive the correct bounds on the Bell-CHSH correlator, and they work out to be and , not and .
So what dictates that the bounds on Bell-CHSH correlator must be And what dictates that they cannot possibly be A surprising ansswer: Einstein's local-realism.
So, the takeaway: The correct local-realistic bounds on the Bell-CHSH correlator are and , not and .
Here are the title and abstract of my paper (this paper is completely independent of my quaternionic 3-sphere model for the singlet correlations: https://arxiv.org/abs/1911.11578):
Here is the conclusion:
And here is a parody of the famous quote from John Bell's interview by the science-fiction magazine Omni, published in May 1988 (p. 88). I have replaced "von Neumann" with [ Bell ]:
John S. Bell wrote:
Yet the [ Bell ] proof, if you actually come to grips with it, falls apart in your hands! There is nothing to it. It is not just flawed, it is silly! ...When you translate [ his assumptions ] in terms of physical disposition they’re nonsense. You may quote me on that: The proof of [ Bell ] is not merely false but foolish!
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