Note 1
What Bell's theorem, together with the experimental results, proves to be impossible ...is not determinism or hidden variables or realism but locality, in a perfectly clear sense. What Bell proved, and what theoretical physics has not yet properly absorbed, is that the physical world itself is non-local.
Tim Maudlin, “What Bell Did”, J. Phys. A: Mathematical and Theoretical
from Advances in Pilot Wave Theory
The predicted violation of the Bell inequality by quantum mechanics has been verified experimentally in a wide range of physical systems, thus leading to the conclusion that quantum mechanics does not satisfy at least one of the assumptions made in the derivation of Bell's theorem. Given that these assumptions include the basic tenets of reality (a physical world exists independent of human observation) and locality (nothing travels faster than the speed of light), some have even proclaimed Bell's Theorem to be 'the most profound thing in science. The experimental violation thereof by Aspect et al. Was rewarded with the most recent Nobel prize in physics and was interpreted by the Nobel Prize Committee as proving that 'quantum mechanics cannot be replaced by a theory that uses hidden variables.
While the experimental violation of Bell's inequality is widely taken to imply that quantum mechanics is inescapably non-local, less drastic conclusions are currently being explored through careful scrutiny of the assumptions made, either explicitly or implicitly, in the derivation of Bell's inequality. In particular, Vervoort has questioned whether the assumption of 'measurement-independence', according to which the hidden variables that prescribe the measurement outcomes are independent of alpha and beta, is valid [continue to hold] in systems with a background field. Vervoort argues that such may not be the case in pilot-wave systems, wherein the hidden variables characterizing the pilot-wave field might in principle be influenced by the analyzer settings. A similar line of questioning was originally put forth by workers in stochastic electrodynamics de la Pena et al.
(Essentially, this seems to argue that because of the field there is a “memory” embedded that links particles as if by quantum entanglement. Still unsure how, at some point, this memory effect could fade and then what happens to entanglement?)
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