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The proton and neutron energy equations can be stated thus.Here k = kinetic energy and h = Higgs energy.If during an infinitesimally short time interval the graviton reduced the inertial mass obtained via the Higgs field a consequence of this disturbance could be a displacement of the mass in the direction of the gravitational source.
There is a maximum kinetic energy that can't physically be reached. That is 1/2mc^2. Since this could also equate to the entropy at the surface of a black hole the yes you may be partly right. How you got there baffles me.