cesiumfrog said:
Clearly both theories are correct in appropriate limits, as they have both individually made quantitative (and surprising) predictions that have since been confirmed experimentally. Both theories must survive in the appropriate limits of any "unified" theory.
I disagree, a theory only good "in appropriate limits" is an incomplete theory. As both, GR & QM show the explanation offered by Newtonian Classical theory to be incomplete, it is never the less still quite useful.
Einstein worked to complete GR by building a GUT to explain Electricity, Magnetism, and Gravity in one unified theory. (IMO doing so would also explain weak and strong as well for a full TOE, even though Einstein never worked on that).
Niels Bohr claimed QM is complete in that nature will never let us see beyond the HUP, to find an unknown hidden variable. To which Einstein never agreed, and to this day GR vs. QM and the Standard Model are incompatible.
Although I agree both are quite useful, neither have been shown to be complete, both are still at odds with each other.
If you have trouble accepting that, pick from a few of the many credible Physicists you can find on a Brain Greene DVD to confirm it.
The same Elegant Universe DVD will also talk about the DREAM of STRINGS where it requires a simple combining of GR & QM, but that “simple” result of Strings does not seem to come with a simple explanation of how or why they are compatible at all. We are to just trust and wait for the theory to produce a TOE.
For me I do not buy that dream, and expect the string folks to come up with a proof before I will.
IMO a simple understanding of the difference between GR demands of gravity based on four-dimensional curves and warps vs. QM expectation of particle exchanges, clearly shows they cannot both survive.