Time Dilation as a Key to Unifying QM and GR

We seek to begin unifying Quantum Mechanics and General Relativity by considering the simplest limit of each theory, and treating the phase frequency shifts of QM as parallel to gravitational time dilation. Surprisingly, this simple-minded analysis already reveals two places where QM and GR directly contradict each other, and thus can’t both be right: QM has a symmetry between all potential energies while GR doesn’t, and the time evolution is linear in energy in QM but exponential in energy in GR. Both contradictions can be resolved, but there are consequences. Forcing the potential-symmetry of QM onto GR means that there are time-dilation-like effects associated with every potential; this is testable for EM. Making QM non-linear to match GR means that the time evolution operator and the energy operator are no longer equivalent, so that E= hν is not universally true. We conjecture that any non-self-contradictory unified theory containing both something-like-QM and something-like-GR as limiting cases must have both of these features.