Steve,
The only result Google provided for my searches of 'gaechron' was to this article http FQXi. So I'm wondering if this primordial mass is of your invention?
It does seem as if QM assumes matter to be the same thing as energy, but without an ontological rationale of what makes it so. My own personal perspective has long been that the QM/Relativity divide originated when the dual wave-like and particle-like characteristics of matter were realized and that it was not so much a failure on the part of physicists, but the success of non-physicist mathematicians in proclaiming it impossible to determine the distribution of energy in a spherical volume in accord with inverse square law, which led to the conventional acceptance of the 'zero point particle' expedient. (fortunately at one time, long away and far ago, I didn't know that) Nor have I ever heard from any Quant how 'exchange particles' physically accomplish the work of stitching things together. Are 'amplitude' and 'phase' truly physical (?) or are these more that probably the 'gaechron' will materialize 'here' on 'this' timeline?
Any success in finding a 'quantum' of gravitational correlation with the geometry of Generally Relativistic spacetime, is likely going to have to accept that Mike Faraday was way ahead of the pack; the discrete particle exists as only a portion of the energy of a full, self-gravitational and self-limiting field of raw energy. All quantum states would resolve from the peculiarities arising in the transition from a linear function for mass quantities associated with EMR and a non-linear function for greater mass quantities where the relative inertial density is equal to or greater than a density which exhibits an inelastic quality, and hence responding to applied acceleration in accord with Lorentz, of energy conserving space. And a good start point is the well established experimentally defined E=hv, but with a recognition that a 'photon' is a bundle of one or more (h), and (h) is constant to each of any wavelength so; so must there be a corresponding constant volume. Not that (h) is an invariable single entity, but a composite coupled charge of elastic density quantities. And that; EMR is a special case because it is a uni-directional motion of condensate energy seeking equivalent existant light velocity.
The limit of a gravitational field domain need not be the determinant of an orbit, far from it. There would be no rationale for a massive object (however minute) to find location at the least density. "But that lucky ol' sun, ain't got nothin' to do, but roll 'round heaven all day." :-} jrc