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- Thread starter JPBenowitz
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We don't yet have a complete description of quantum spacetime, so we can't say for certain that there is no non-locality.

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JPBenowitz said:The apparent paradox associate with Bell's Theorems emerges from the implicit assumptions...

Where in Bell's proof of his theorem do you see such an assumption being used?

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Nugatory said:Where in Bell's proof of his theorem do you see such an assumption being used?

I have no qualms with the proof itself but the conclusions drawn from it.

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JPBenowitz said:This necessitates that quantum spacetime must have more structure than Minkowski spacetime. The apparent paradox associate with Bell's Theorems emerges from the implicit assumptions of the underlying topology of spacetime.

Bell's notion of local causality does indeed assume a background classical Minkowski spacetime, or at least a background classical pseudo-Riemannian spacetime of known topology. The application of the Bell inequalities to infer that there is no theory obeying relativistic causality that can explain the correlations predicted by quantum mechanics is not affected by the possibility you raise, since we can define the predictions of quantum mechanics on such a spacetime. On the other hand, the application of the Bell inequalities to real experiments to infer that Nature itself is nonlocal may be affected by such considerations, where it is only one of many loopholes.

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JPBenowitz said:I have no qualms with the proof itself but the conclusions drawn from it.

The usual conclusion is:

What's problematic about that? If there are hidden variables, they cannot be local to the quantum object. Even with your hypothesis of spacetime, any hidden variables would not be considered local. Local meaning that only "nearby" (relative to c) influences can impact the outcome.

Also: please be aware that the state of the art in Bell tests has come a long way. It is possible to entangle particles that a) have never existed in each others' light cones; b) have never even existed at the same time; and c) are entangled AFTER they no longer exist. All of these situations are consistent with standard QM but inconsistent with many traditional views of either locality or realism.

So make of it what you will, we don't have a complete description of spacetime (maybe) or we don't have a complete description of "something" (not sure what). We simply know a "classical" perspective won't cut it. :-) That has to be good for something!

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