- #316
ThomasT
- 529
- 0
There's almost universal agreement that the tests are correct. But neither magic nor ftl transmissions (nor aliens, etc.) are necessary to understand why the correlations exceed the limits on explicit lhv accounts of them.unusualname said:It's clear that Bell Test (violation) experiments are correct (to anyone sensible), and it's also clear that Special Relativity is correct, so to account for entanglement we need either "magic" or a FTL causal mechanism that doesn't contradict SR.
To understand why BIs are violated it's necessary to compare the formal requirements, as set forth by Bell, with the experimental setups to which they're being applied (formal requirements that any explicit local hidden variable model of the joint, entangled, situation must meet). It should become clear that the variables which determine individual detection rates can't be made to (can't be put into a form which would) account for the joint detection rates, because they aren't the determining factors in that situation. Rather it's relationships between these variables that's being measured in the joint context. These relationships are joint hidden parameters that are being measured by a joint instrumental variable. This is what the 'quantum nonseparability' of the situation physically refers to. QM gives a correct account of the joint, entanglement, situation by not separating its components.
The above point is the key to understanding what Bell's theorem means and why it's impossible to have a local hidden variable model of entanglement. It's not that Bell was wrong or that he unwittingly made a faulty lhv model. Making a lhv model of entanglement is kind of a catch-22. The only way to represent the joint situation with local hidden variables happens to be incompatible with the demands of the situation that it's trying to model. An lhv account of the joint, entangled, situation must necessarily be an incorrect account of that situation. This has been proven by Bell and others (see David Mermin's, "Hidden variables and the two theorems of John Bell", Rev. Mod. Phys., Vol. 65, No. 3, July 1993). So, BIs (and other 'no lhv' theorems) based on the requirements necessary to construct any explicit lhv model of the joint, entangled state, experimental situation must, necessarily, be violated -- and this has nothing to do with nonlocal or ftl communication between the separated entangled quanta or the separated filtering and detection devices. The joint experimental situation is just, in Bell's words, "incompatible with separable predetermination". This doesn't mean that there aren't separate particles that have predetermined unknown individual properties. It just means that the joint experimental situation can't be modeled in those terms. (What sometimes sets people on the wrong path is Bell's statement in the conclusion of his 1964 paper, "On the Einstein Podolsky Rosen Paradox": "In a theory in which parameters are added to quantum mechanics to determine the results of individual measurements, without changing the statistical predictions, there must be a mechanism whereby the settings of one measuring device can influence the reading of another instrument, however remote." Which is correct of course. However, since there's no particular reason to believe that our universe might work that way independent of 'no lhv' theorems, and since BI violations can be explained without such a mechanism, then there's no particular reason to invent such a mechanism.)
Once that's understood, then it remains to understand how the correlations can be produced in a universe in which the principles of SR and local action hold. It should be clear enough that if there's some predetermined underlying relationship between, say, the spins of two photons, and that if these photons are jointly analyzed by crossed polarizers, then the correlations which result are pretty much what would be expected in a locally causal c-limited universe. Local predetermination of individual properties is incompatible with qm, because, for the reasons mentioned above, accounts of joint, entangled state, experimental situations in those terms are, necessarily, incompatible with those experimental situations.
This is not to say that the underlying mechanisms which result in entanglement correlations are completely, or even well, understood. They aren't by any means. And understanding that a local common cause for the underlying entanglement isn't ruled out by 'no lhv' theorems is just a beginning to any approach that's in line with relativistic restrictions. So, it's suggested that, before weird and absurdly strange scenarios are offered to account for the BI violations and entanglement stats, maybe the focus should stay on the subtleties of the still fascinating, even without any artificially added wierdness, facts of the science and analysis and interpretation that promise to facilitate a better understanding.
So, for the record, I agree with those (eg., David Mermin, see his "What Do These Correlations Know about Reality? Nonlocality and the Absurd) who think that positing the existence of, eg., nonlocality is not in keeping with the best practice of scientific inquiry.