I need help with the math describing the proto-particle. I can describe what is needed, I just am very poor at creating math.
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That is incorrect. Light is always moving when going into a black hole. It's merely slowing down. A particle like a photon can always be moving towards the event horizon and still never get there. Its sort of like Zeno's paradox. First its moving at c, then later at c/2 then c/4 then c/5 ....... At no time in that sequence is the photon at rest.It does not slow down, it only appears so to an outside observer, black holes are really not that mysterious, they are simply bodies with an escape velocity greater than c.
The same thing applies to all matter because all matter is slower than light.
See Eq 10.
What your doing with the current a-priori definitions for time and space is an excellent way to tackle the unknowability of gravity.....define a "proto-particle", as you have. You're essentially labelling a red-herring, gravity, in the quantum world. Its a good idea, yet what do you think the obvious obstacles are? For instance, is not what the "Higgs" particle aimed to offer the same as your proposed "proto-particle"?
I should have been clearer, I am speaking of non-composite fields.You can affect a field by distorting it in two ways, you can shake it (Waves) and you can create an embedment (gravitational well).
Why do you only consider two ways ?