Quantum Field Theoretic Problems - Is There a Quanto Mechanical Problem?

The quantum is in good enough shape that we don't know whether we have a serious quanto mechanical problem or not. What i want to explore is the incompatibilities, not at the quantum level, but the geometric input. So let's take our great three theories and just visually treat them as the verticies of a triangle. We can rewrite the einstein theory by saying that there is a projection map due to einstein in of a curvature tenser.