Bells inequality be satisfied with equivalent local QM?

In summary, Susskind explains how spin measurements with 0°, 45°, 90° to the z-axis can be used to measure the spin of an electron singlet. He uses the assumption that measuring a negative result A on particle 1 corresponds identically to a positive outcome on particle 2, which is essential for the measurements to be valid. He argues that this assumption is a logical flaw if you want to disprove hidden variable theories, and that there is another way to do the Bell's inequality that does not rely on the QM predictions.
  • #36
Galteeth said:
What I mean is, hypothetically, photon pair 1 and 2 could give uncorrelated results, and photon pair 3 and 4 could give uncorrelated results, but taken together as a system there could be a perfect systematic correlation. I know that's unlikely, but is there a way to know that isn't the case?
I would say that the question can be reformulated to allow more easier analysis.
Say photon 1 can be detected at two different times and we will mark them as 1A and 1B. Similarly for other photons.
Now we have four pairs 1A/2A, 1B/4B, 3A/4A, 3B/2B with additional constraint that xA/xB can not be detected both.
That way reformulated I would say it's unlikely to add anything new to the problem.
 
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