ttn
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Sherlock said:If assumptions about quantum theory's relationship with an underlying quantum world are avoided, then the expansion theorem-postulate doesn't say anything about nonlocality. The theory is then interpreted as being acausal, and as such makes no statement about the existence, or not, of nonlocal causality in nature. In this view it isn't a locally causal theory either. So, it wouldn't, strictly speaking, be correct to call it a local theory.
That is exactly the point I keep trying to make. If one's response to the assertion "your theory, if interpreted ontologically, is nonlocal" is to say "oh, well then I guess I won't interpret it ontologically" -- then one is *not entitled* to claim that one's theory is local! The very thing that prevents the accuser from saying it's *nonlocal* -- the very thing that makes people want to take this strategy to avoid what is otherwise an unavoidable accusation -- *also* prevents the advocate from saying it's *local*! That's the whole key point. It's not that it's not nonlocal and therefore local. It's not nonlocal in a different sense. It's not nonlocal in the sense that the whole idea of "nonlocality" is now inapplicable. But guess what? The whole idea of "locality" is also now also inapplicable, for exactly the same reason.
To "go epistemic" as a way of eluding the charge of nonlocality is *not* to defend the locality of one's theory. It's to remove one's theory from the class of things to which concepts like locality/nonlocality are applicable.
If OQM is thought of that way (as a local theory), then I would guess that it just has to do with it not violating the principle of local causality (which it doesn't as long as it's not being taken as mirroring an underlying quantum world).
It's the same issue. It neither violates nor fails to violate "the principle of local causality." It no longer *says* anything causal.
What they are talking about wrt completeness is that the wavefunction is regarded as a complete description of what can be quantitatively determined about a quantum experimental preparation --- that the instrumental output will correspond to the probabilities assigned by the wavefunction for the setup.
On that premise, what should/do they say about something like Bohmian mechanics?
The orthodox interpretation is about what the theory is, not what it might be. The theory is a mathematical scheme that assigns probabilities to qualitative instrumental behavior. Attributing some speculative significance (in terms of a correspondence to an underlying quantum world) to the qm algorithm or any part thereof is beyond the scope of the theory itself (and apparently beyond the scope of physics, at least for the foreseeable future).
What about Bohmian Mechanics? You can't just arbitrarily say it's "beyond the scope of physics for the foreseeable future" when there already exists an empirically viable theory that does precisely this.
So, the only interpretation of quantum theory that is clearly meaningful is the orthodox, probabilistic (or Copenhagen) interpretation.
Bohmian Mechanics is not meaningful?
You'll have to explain what you mean by "meaningful".
Specifying what quantum theory is known to be about (assigning probabilities to experimental results), while avoiding speculation about the theory's relationship to an underlying reality, doesn't make it any less a physical theory.
Refusing on principle to provide a theoretical account of physical reality doesn't make it any less a physical theory? I thought providing some such account was what a physical theory *was*?
It just can't necessarily be taken as a description of an underlying reality --- and this is maybe the most confounding way in which quantum theory differs from its classical predecessors.
It *isn't* taken as a description... But it *can* be.
Your two-part argument for nonlocality in nature, ttn, seems solid enough given the assumption that the mathematical gears and wheels of quantum theory are a 1-1 mapping, or at least in very close approximation to, the relevant (to the experimental results) qualitative aspects of an underlying quantum world. However, it seems just as reasonable to assume that they aren't, but rather are just charting the evolution of the instrumental probabilities.
As I keep saying, it's fine to take them that way. But then you just don't have a theory anymore. If a theory is something that provides an account of the state of the quantum system, then no Bell Local theory can agree with experiment. Of course someone can refuse to put forth a theory, or can put forth a calculation recipe that they *call* a theory but which is not a theory in the sense I've just defined it. That doesn't magically count as a "local theory" though. It's just a calculation recipe, and doesn't effect one whit the two part argument. No theory can be Bell Local and still agree with experiment.
Seen from the latter point of view, the gaps in the quantum theoretical picture aren't surprising and don't imply nonlocal causality.
Sure, in the same sense that if I only say "I like peanut butter" I don't imply any nonlocal causality. But who cares? What we're talking about is not all the possible ways of avoiding making a certain kind of false statement. What we're talking about is whether one can have a *theory* that respects Bell Locality and still agrees with experiment. I claim Bell proved (with the 2 part argument) that we can't. And you don't refute this proof by pointing out that there are other things one could utter (things which aren't theories) which "don't imply nonlocal causality." All sorts of things don't imply it -- by virtue of their not making any causal claims in the first place. But citing a bunch of such things isn't a good strategy for refuting Bell's argument -- it's just a distraction technique! As if I said "all men are mortal" and you tried to refute me by pointing to a rock and saying "that thing isn't mortal". Or really it's more like you point to a rock and say "I like peanut butter".
