[BalinKing]

There are various theories about what's actually happening in quantum mechanics. Some theories have hidden variables, in which case the issue is simply one of measurement (i.e. there really is an "objectively correct" value, but it only looks to us like there isn't).[0] However, this is not known to be the case, and many theories really do claim that position and momentum fundamentally cannot both be well-defined at once. (The "default" Copenhagen interpretation is in the latter camp; AFAIK it's convenient in practice, and as a result it's implicitly assumed in introductory QM classes.)

[0] Well, and the hidden variables are non-local, which is a whole 'nother can of highly non-intuitive worms.

[ggm]

I'm not qualified to say. But, because of inductive reasoning, I have some concern that underneath the next level of "oooh we found the hidden variable" will be a Feynman moment of saying "yea, thats defined by the as-yet unproven hidden-hidden variables, about which much conjecture is being made but no objective evidence exists, but if you fund this very large machine...."