A discussion of approaches to Joy Christian's work on Bell's inequality:
There are possible approaches to Christian's treatment of Bell's inequality. One approach, beautifully illustrated by Florin, is to bring all mathematics at your command to the problem, and hope this answers the question.
Another is based upon physics and physical understanding. My theory is local-realistic and qualitatively explains many otherwise unexplained anomalies in today's physics, so I have no problem accepting Christian's results, which make sense to me.
I say this knowing it will have no effect upon mathematician's approach, but simply to remind everyone tracking this conversation that it's not the only approach that a physicist can take. Assume for a moment that QM is incomplete, as Einstein said, and as Florin seems to state: "So I guess Einstein was right after all about incompleteness. If I am right in the paragraph above, he was right in the letter but not in the spirit."
This being the case, why should quantum mechanics be the be-all and end-all of the problem? If it is incomplete, it is incomplete, and it's century of successes are not to be discounted, but neither are they to be the only parameter by which we judge reality. And a quarter century of 'entanglement' if Bell's inequality is truly incorrect, led to much non-sense, based upon the false interpretation of measurement statistics leading to the conclusion that local realism did not exist.
There are consequences to approaches. Unquestioning acceptance of Bell's inequality has had (if Joy is correct) disastrous consequences. I dare say that these came from the side that respects mathematics above and beyond all physical reasoning. The 'social reality' discussed prevents any theory of local realism from being taken seriously by those committed to the non-locality that is the basis of the 'entanglement industry', an industry in which contracts, experiments, papers, publications, and professional status weigh heavily upon 'accepted' version of reality. [God bless fqxi.]
The known 120 orders of magnitude decrease in QED's vacuum energy and the apparent 31 orders of magnitude increase in the strength of gravito-magnetism combine to present physicists with 151 order of magnitude relative change between these energies and potential explanatory power. But have all of the QED calculations since 1947 been recalculated with a realistic vacuum energy? No. Old ideas of virtual particles, despite failure to find the expected 'sea of strange quarks' in the proton, despite the surprise of the 'perfect fluid' at RHIC and LHC when a 'quark gas' was expected, are well entrenched, and no one is being discomforted by the mere physical facts. QED cannot even come within 4 percent of the proton radius, for muonic hydrogen. And QCD has problems getting this close.
"Real anomalies, we don't need no stinkin' real anomalies." Instead, those who happily accept the non-real, non-local as "reality" have gone off into Multi-verses, extra dimensions, holographic extensions, qubits-as-virtual processors, and other fantastic but not-measurable and non-predictive physics. That 151 orders of relative change could actually mean a simplification of physics is not even resisted. It's ignored. No one, apparently, wants physics to be simpler. That a gravito-magnetic-based 'pilot wave' induced by every particle with momentum could actually be meaningful is ignored.
I'm not complaining. Planck said a century ago that "...theories are never abandoned until their proponents are all dead...science advances funeral by funeral." If true, we're in big trouble, since there are too many physicist proponents to all die off, and they are training their replacements.
And Joy might find some joy in Einstein's statement: "I enjoy it that colleagues occupy themselves at all with the theory, although for the time being with the purpose of killing it..."
The mathematical battles are extremely important, but physics is still based on reality, and, it is my hope and belief that these 151 orders of magnitude changes imply a simpler, and more intuitive reality, one that I try to outline in my essay.
Edwin Eugene Klingman