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James,
You are on the right track but bear in mind that EM radiation [mass] from the SUN is longitudinal and comprised on convergent AND divergent momenta which combine in their geometries to form a NETT Divergent force [the broken symmetry of Charge].
Matter on the other hand produces a convergent gravitational force result from MATTER's geometric interaction with the vacuum energies comprising its environment.
Re Hot/G etc. you're right except as you get closer to the source of the GEM fields - the stronger divergent E field forces become apparent & closer still the M field becomes dominant as well [E fields are inverse squared strengths while M fields are inverse cubed]
Einstein's GR is broadly based on formulations of pressure [hence my referring to it as that] but as you point out it is really an energy gradient that results from the energy differentials created by the interactions of the "nullspaces' of Matter with their surrounding vacuum energies [a lot more detail on the quantum foundations behind these terms and their exact mechanics will be revealed in Tetryonics QG].
Note: Radiative EM masses do not affect the gravitational force of Matter - they are distinct properties of each - but we mathematically model the nett motional forces that results from their combined actions - hence why Newton G rules at large distances from large-scale Matter and GR correct for EM mass perturbations close to Gravitational Matter - Photons skimming the SUN's limb proves this but it is a test of the SR refraction of EM masses in the SUN's plasma environment not proof of the photon being gravitationally bend from its path.
I cannot stress how important it is to clearly understand the differences between EM masses and Matter [as defined throughout Tetryonics] - Matter gravitates - EM masses interact
Your last comment is close again but you must remember Matter is s 3D tetrahedral geometry with absolutely nothing inside that geometry [ie it is a tetrahedral clothed with planar 2d mass-Energies with a totally empty core geometry. All Matter has these empty cores and they create Newtonian gravity through the differential energy gradient it creates with the vacuum energy surrounding Matter geometries.
Matter in motion creates KEM fields and they are the divergent EM fields spoken of above whose E-field strength drops off as an inverse square law [just like gravity] and their Magnetic field drops off as an inverse cubed law.
Your last statement could be better re-worded as follows "the specific mass-Energies of Matter [at rest] is locally determined at the moment of creation, as a function of the charged geometry of that particle - the gravitational force that this material particle produces is a result of the surrounding vacuum energy environment seeking to equalise the internal 'nullspace Energy density' of Matter [via its mass-Energy fascia]"
The Vacuum energy field is very real - and all mass-Energy-Matter quanta are comprised of ideal quantum inductive loops - to summarise all of this - Newton's maths models Einstein's curved space-time model very well, where Einstein's maths fails to recognise the quantum fields ad forces that are present in his GR Stress-Energy tensor. Tetryonics geometry corrects all of this.
A lot of verbiage has been generated in this response - I hope it helps to clarify things - else Tetryonic QG will when its released.