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DrChinese said:First: I don't see where determinism - or indeterminism - is a function of Bell's Theorem. Perhaps you can point that particular piece out to us specifically (as in a reference).
Local determinism, sorry. Bohm's theory is deterministic but non-local and it has no problem explaining the EPR correlations.
Second: you will not find it so easy to develop a local realistic theory - even one which is deterministic in the manner you have cited - which can reproduce the predictions of QM. Anything less than a full example will satisfy only those who don't know any better. The requirements are many.
Sure, but those requirements have to be satisfied by any theory, not only LHV ones. The known interpretations of QM are useless as they require unfalsifiable assumptions and cannot make any new predictions, even in principle (at least I didn't see anything convincing by now).
Third: The premise you are starting from makes little sense: you will have to completely tear down the Uncertainty Principle to achieve your goals (since it is the source of the EPR Paradox).
The Heisenberg Uncertainty Principle (HUP) does not apply to the past (I can measure with unlimited precision both the momentum and position of a particle by simply detecting it at a large distance from the source). It denies perfect predictability, not determinism.
And then we would be left wondering why the Uncertainty Principle even appears to exist! Ah, determinism! What an answer! As said previously, this explains absolutely nothing.
HUP is a direct consequence of the measurement process (you cannot get information about an object without doing something to it). It is expected to appear in a deterministic world as well.
I'll stick with Bell's Theorem at this time.
Sure, only keep in mind its domain of applicability.