sahashmi
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The point is that one measurement outcome can affect another measurement outcome where we still can’t signal. This is because even though each measurement outcome may be not predictable (atleast as of now), as soon as one measurement outcome is measured, it can influence the other, even if we can’t use this for signalling. The no signalling comes from the unpredictability, not necessarily because one measurement isn’t influencing the other.PeterDonis said:Not in the sense in which "communication" is used in the theorem. Or the term "signaling"--since the "no signaling theorem" is a common alternate name for it. "Communication" and "signaling" in the theorem are perfectly objective notions that do not even require humans at all to happen.
If two events are spacelike separated, their time ordering is frame dependent. On the usual understanding of "causality", where the "cause" must precede the "effect", this means neither of the two events can possibly be the cause, or the effect, of the other, since their time ordering is not invariant.
Whether Bohmian mechanics is even compatible with relativity is an open question. There are other PF threads on this topic.
In regards to the space like separation comment, yes, the time ordering can change. But this assumes relativity and if the EPR argument in regards to the fork is correct, and local hidden variables are wrong, and if there are non local influences, it might be an indication that relativity needs work or is not fundamental and rather emergent (as Bell seemed to suspect but not necessarily assert, and others like Maudlin or others believing that relativity has to go).