- #596
RUTA
Science Advisor
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DevilsAvocado said:RUTA & DrC, this is interesting. If we assume that one day all EPR-Bell loopholes are closed simultaneously, and we all (maybe even ThomasT ) agree that nonlocality and/or nonseparability is a fact; would that mean that Quantum Mechanics has proven Relativity Theory wrong (or slightly "useless")?
GR is both causally local and separable, so if QM is "right," GR is "wrong." I would use DrC's semantic choice here and refuse to say GR is wrong :-) However, I have to admit an enormous bias -- grade school records show my hero was Einstein, I did my undergrad major in physics when I read about SR, and did my PhD in GR. So, for my own sanity, I must believe that GR is the local, separable approximation to the "correct" theory of gravity.
As an aside, we're working on just such a theory now -- nonseparable Regge calculus. Since our Relational Blockworld interpretation of QM and QFT assumes a nonseparable theory X underlying quantum physics*, we developed a "direct action," path integral approach over graphs for theory X. Regge calculus is a path integral approach over graphs for GR so, of course, that's where we expect to link theory X to classical physics. The only difference between Regge calculus and our approach is that our path integrals are "direct action," i.e., link only sources. Since there are no source-free solutions in our theory X (this is the mathematics behind "nonseparability" in our approach), the vacuum solns of GR are only approximations (as well as its use of continuum mathematics). Anyway, it looks like nonseparable Regge calculus will survive the weak field tests of GR, but predict deviations from GR at large distances (galactic scales and larger). I'll keep you apprised :-)
*Here we follow the possibility articulated by Wallace (p 45) that, “QFTs as a whole are to be regarded only as approximate descriptions of some as-yet-unknown deeper theory,” which he calls “theory X.” Wallace, D.: In defence of naiveté: The conceptual status of Lagrangian quantum field theory. Synthese 151, 33-80 (2006).