DrChinese said:
I do not intend any disrespect.
None taken. But you're still not getting it, and everything I'm saying at this point has been said a thousand times before in previous posts. So this will be my last post on this thread, and I'll simply advise you to go back and re-read our exchanges from the past and try to (as Tez suggested) pay attention to what I'm *actually* saying, not what you think I ought to have said.
But we already know that your paper uses a definition of locality that is aligned with what you call "Bell Locality" and which is consistent with Bell's later ideas. On the other hand, EPR (and Einstein) use the term local in more of a relativistic sense - as do I and a lot of others.
That's a false dichotomy if I've ever heard one. We all mean the same thing by locality in a qualitative sense -- no superluminal action at a distance. The problem is, Einstein et al just talked loosely about "no superluminal causation" without ever making such a requirement mathematically precise. That is what "Bell Locality" accomplishes. Your comment seems to be based on a tacit assumption that Bell Locality is not just the requirement of no superluminal causation, but something else too (like maybe it smuggles in "realism" or "hidden variables" or "determinism" or some such). But that just ain't so.
Therefore: I simply state: relativistic QM is a local* theory which predicts results in complete accordance with Bell tests.
That's dumb. I could just as well say: "Therefore: I simply state: Bohmian Mechanics is a local theory which predicts results in complete accordance with Bell tests." See, wow, it's easy to just say stuff like that. The problem is, both of our assertions are false. Bohm's theory is *not* local (the nonlocality is right there in the dynamics for all to see). And same for your orthodox QM: the nonlocality is right there in the dynamics (viz, the collapse postulate) for all to see.
I assume what you mean by "relativistic QM" is N-particle Dirac theory, or QFT, or some such. The problem is, all such "relativistic" theories are only 50% relativistic: of the two dynamical formulas which define the theories, one is local (the unitary evolution equation) and one isn't (the collapse equation). So, misleading names to the contrary notwithstanding, such theories are *not actually consistent with relativity*.
So, sorry, but you have not provided a counterexample to my assertion.
This is the counter-example you asked for, and will suffice for anyone whose definition of locality matches mine (and Einstein's).
See about. But re: Einstein... you've got to be kidding! If you think Einstein would have been content with orthodox QM (that is, content as in willing to accept that the theory is local) you have (again) completely and totally failed to appreciate the point of EPR. The whole argument there is that we have to regard orthodox QM as providing an *incomplete* description of states *because otherwise the theory is manifestly nonlocal*.
Until you get this, you are just wasting your time trying to grasp Bell. Go back and read "The Shaky Game" or "Einstein's Boxes" or something again until you get it.
It will not suffice for those whose definition matches yours (and Bell's), because you insist that relativistic QM is either not a local** theory or not a valid*** theory.
I've never been ambiguous about this. Orthodox "relativistic" QM is not a local theory. It violates Bell Locality, plain and simple, and that means it includes superluminal causation. There is of course no mystery whatsoever about this: the theory just openly says that the state of one particle can change *instantaneously* as a result of a spacelike separated measurement.
I know you do not agree with my thinking, but certainly you must be able to see why many would.
Sure, it's because they have yet to appreciate Bell Locality as a correct mathematical transcription of "no superluminal causation". But that's their problem, not Bell's or mine.
(** yet it must be local, by definition, precisely because it is relativistic)
That's the weakest argument yet! I can take N-particle Dirac theory and write down a Bohmian version of it. The evolution equation for the N-particle wave function is manifestly covariant (it's the same equation in the orthodox and Bohm theories, of course). So let's call this "relativistic Bohm theory". Can I then infer that "relativistic Bohm theory" is local, by definition, precisely because it is relativistic? No. That would be wrong. The theory is actually non-local, because the *other* part of the dynamics (the Bohmian guidance formula) is manifestly *not* Lorentz invariant. It requires some preferred frame to define it. But guess what? The orthodox version of the same N-particle Dirac theory works exactly the same way: the unitary evolution equation for the wave function is Lorentz invariant, but *the other half of the dynamics isn't*.
(*** very difficult to accept this, as there is no known flaw in its predictions)
Yes, nobody questions that these theories all give the right empirical predictions. The *only* issue is whether or not they are local. I say: Bell Locality gives a clear mathematical criterion for deciding. You seem to say: if a theory's name has "relativistic" in the title, then it's local by definition.
I'll leave it to you and others to work out which makes more sense.