Took me a moment to straighten my mind out, but after writing this out long-hand, I think you could summarize the general idea with what already exists…at least, referring to the first page.
Toss the idea of the “TBD unifying law of EM”.
We effectively already have that with Maxwell’s equations, and the interesting thing about Maxwell’s equations is that if you take a quantum mechanical description of an electron (mathematically) and apply the same conservation of charge concept into it that Maxwell’s equations have, then Maxwell’s equations evolve out of the standard model.
So, two for the price of one. The Standard Model delivers Maxwell’s equations, so we can describe the quantum and electromagnetic behaviors in one go by calling the Standard Model.
So replace f’(x) as the Standard Model.
“Relativity + Gravitational energy divided by vector qualities”
You don’t need to quantify it this way. You’ll end up redundant.
Relativity’s field equation already does this.
There’s tensors all through this thing, so that’s essentially “vector qualities”, and they’re all for different things.
Here’s a look at the mathematical parts of the equation.
So, f(x) just needs to be Einstein’s field equations.
Then you have the kinetic energy equation, but I’m not really sure I get why.
Are we trying to convert the electromagnetic field into a straight kinetic energy concept, and mix that with GR’s energy values.
Are we’re trying to get joules out of this?
Delta of time is reasonable enough, though…that might require some distribution through the field equations…possibly, because those already quantify the difference of location over time…well…kind of…in the sense that they include the Ricci curvature tensor, which is going to describe a distance’s shape, which distance is time so effectively we have the concept of time in there. Not sure how that would have to be worked out.
Of course, I don’t know that anyone would know. Einstein’s field equations can’t be specifically solved.
No one has every done it. Ever time someone wants to use the field equations, they have to linearize them before use … meaning, they convert them into a 2D pretend world and ignore the issues involving tracking all of these factors in 3D spacetime.
Even Ligo linearizes the Einstein field equations.
But back on point…I think that essentially, you could say…
The the change of the kenetic energy of the quantum electromagnetic field and the spacetime gravitational energy of matter over time is the summary of the physics of everything.
I think that’s what you were getting at.