The real world is quantum-mechanical, no classical. At the macroscopic
level, quantum mechanics does not become equivalent to classical physics
at all (there is no way an infinite dimensional Hilbert space will
somehow reduce to a classical phase space), what happens is that the
results of computations can be performed by pretending that classical
mechanics is correct, with impunity.
So, whenever classical concepts are introduced, the results may be good
enough for the physical quantities that one computes, for
interpretational issues there can be problems.
As pointed out by Vaidman here:
http://arxiv.org/abs/1110.6169
This is also the case for the Aharonov-Bohm effect. So, the effect is
obviously real, but the purported non-locality is just an artifact of
classical reasoning.
Saibal
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