Hello,
Update on the Gill/Sanctuary Debate on the add/average issue.
The debate has been stimulating for me, focussing and helpful. The engagement of judges, Dennis Dieks and Jonte Hance, was very useful and gave me something new. So indeed, my thanks go out to them. Progress has been made on my end at least.
To focus the debate, I wrote up my ideas which I now post here as a draft. No errors have been found by Dennis or Jonte, but finding errors was not in their mandate. They state my construction does not evade Bell's theorem because, in their view, it still functions as a non-separable or global hidden-variable structure; therefore, my model either violates locality or fails to provide the separable predetermination required to reproduce the EPR correlations without invoking the standard Bell framework. That is, they say I have not beaten Bell.
Simply stated, my response is I have not yet convinced them of my assertion about Bell’s Theorem. The basis of my argument is: Bell’s assumption of a single Kolmogorov probability space does not describe bivector spin. Therefore, Bell is not applicable and the CHSH \le 2 can be violated. Dennis and Jonte disagree.
In the attached, I have attempted to use the language of math rather than physics. This was motivated in part in deference to Richard Gill who claims little knowledge of physics and prefers math. He has just posted, however, that the debate is over and closed. He says our positions have not changed. He has not made objections to the attached, nor has he disproven my theorem. He simply backed out and I am not unhappy about that.
Despite what Richard said, my position has changed. I will now work on finishing the attachment and add to it a simulation that agrees with the observed experimental EPR results yet contains only a single stream of \pm 1 clicks. In such a simulation, no add/average issue will exist.
I welcome constructive responses.
Warm regards to all,
Bryan
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