mn4j
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You need to look up Bell's theorem and what it says. If what you say is what Bell and his proponents believe, they should have saved everyone a lot of confusion by being explicit. Why would they make an extraordinary claim that "No local hidden variable theorem can reproduce the results of QM" , if they only meant to say some hidden variable theorems can not reproduce the results of QM?Fredrik said:Bell inequalities don't represent a property of reality.
They do however represent a property of every member of some class of hidden variable theories. I don't know if that class includes all objective local theories, but has anyone ever said that it does?
It is interesting that you think there are no objective local theories for even classical objects even before QM was developed. Do you believe Bernoulli's Urn is non-local as well? Do you believe Bell's inequalities do not apply to any real system, quantum or classical? If you do, as your statement above implies, then I would be interested to hear on what basis, you compare the results of Aspect-type experiments to Bell's inequalities.
Take a look at Bell's theorem, it makes a categorical claim about all objective local theories. And every time anyone claims that Objective local theories are impossible, they are making the same claim. I'm sure if I had enough time, I could find one of your statements implying the same.I mean, has anyone that matters ever said it without taking the assumptions that go into the derivation as the definition of the term "objective local theory"?
Even that does not rescue Bell's theorem. For Bell's theorem to be valid, you have to rule out EVERY objective local hidden variable theory.We would just have to change 2 to say that we have ruled out a large class of objective local theories.
I want you to admit that Bell's assumptions are not exhaustive of all objective local theories. You just admitted earlier that Bell's inequality does not apply to ALL local hidden variable theories, and yet you still believe Bell's assumptions are equivalent to the definition of objective local theory? You can't have it both ways. As you admitted above, Bell's inequalities do not apply to all possible local hidden variable theories. Therefore Bell's theorem, which is based on those inequalities, can not claim to make proclamations about what ALL objective local theories can or can not do.What exactly is it that you would like to change about the definition of "objective local theory", or equivalently, the assumptions that go into derivations of Bell inequalities?
1) Yes, when Bell's inequalities fail, they take the class of hidden variables implied in Bell's assumptions with them. But by your own admission, those assumptions do not even apply to classical systems which are demonstrably local, so to characterize the class as large, is specious at best.Yes, that's the point! And when the Bell inequalities fall, they take a large class of hidden variable theories with them.
2) The viability of Bell's Theorem hangs on the increasingly hopeless wish that Bell's inequalities apply to ALL objective local theories.
3) Therefore, Bell's theorem is a fallacious argument.