Markus, Thanks,
The main finding, yes is an "astonishing"! classical QM. Despite beliefs John Bell did NOT show "a local realist model of a singlet state" is impossible! He showed some assumption was wrong, which I identify as JUST 'up/down spin'. Let's listen more carefully to him;
"..in my opinion the founding fathers were in fact wrong.. ..quantum phenomena do not exclude a uniform description of micro and macro worlds" p171.
"We would have to devise a new way of specifying a joint probability distribution. We fall back then on a second choice - fermion number density." P.175.
"..a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal." p.172.
"...the new way of seeing things will involve an imaginative leap that will astonish us. In any case it seems that the quantum mechanical description will be superseded." p.27 (so first seeming 'idiosynchratic')
"..the solution, invisible from the front, may be seen from the back.." p.194.
" quantum mechanics is at the best, incomplete." p.26.
The axioms are all required for the mechanism. It'd take half a page each to fully explain but once the ontology is understood all is clear. Those 'two paragraphs' need very careful reading, maybe twice! to do so and overcome normal cognitive dissonance.
Declan Traill's short essay with code and plot, with my experiment, confirm the mechanism works (at CHSH >1) and the 'detection loophole' is (CHSH >1) closed.
This has vast implications (beyond the wide areas you refer to) so I'm quite aghast so many accredited physicists seem to dismiss it so readily. Bell did also say; "..conventional formulations of quantum theory, and of quantum field theory in particular, are unprofessionally vague and ambiguous. Professional theoretical physicists ought to be able to do better." p.173.
(Editors are the same). But I'd expected some could! I hope you might try that 2nd read of those 2 para's using logic not expectations?
Very best
Peter