Dear Ken Matusow,
You have stated that the symbols in your equation are general, but "a semantic interpretation of each of these symbols maps very closely, if not exactly, to the meanings of these systems as used in traditional physics". The symbols in the equations of 'traditional physics' are similar to that of your equations, the only difference is that these are meant to represent the physical variables. As these symbols map to the empirical behaviors, their general nature is just ignored.
The actual problem is not with the equations, but with the interpretation of the symbols. A symbol can have multiple interpretations, and all of these interpretations will be valid for the given equation. Selecting the appropriate one is the problem. QM and GR become incompatible because their proponents cling on to their favorite interpretations regarding the symbols. These interpretations are not only incompatible, but also have no physical meanings.
Assuming that your mathematics is correct and believing that you have not gone wrong anywhere in the derivations, your claim,"A mathematical bridge has been developed .... between quantum mechanics and general relativity" should be correct, provided by QM and GR you mean just the equations.