The Next Step

There's a settled question in physics, which basically boils down to the question, "Do gravitational forces experience gravitation", to which the standard answer is mostly "No".

First, the standard answer is wrong.  Gravity definitely gravitates.  Negative mass binding is a thing.  Take a balloon.  A really big balloon, large enough to hold our solar system with extra room.  Consider its volume when empty.  Consider its volume when we put a solar system in it - remembering that the length of A is greater than the length of B.  The volume is larger than the volume when empty.  Consider that the mass-energy tensor is describing, effectively, the density of mass and energy in a volumetric space.  Increase the space, decrease the density.  Negative mass binding.  Double the mass of an object, and you don't double the gravitational pull, because some of that gravity is lost to the extra volume involved.

Remembering furthermore that all you need, to create gravity, is the difference in distances - and it should be clear that gravity gravitates.  We just have a particular idea of what it means for something to gravitate which doesn't apply to certain geometries; we think of gravitation as the particular effect of the gravitational geometry, on a particular other kind of geometry.  But once we realize that the geometry involved effects all geometries, it should be clear that light gravitates - it's the same geometric transformation, applied to a different geometry.  We can think of distances, or of rotation - rotate the light in space and time, and voila.

What happens if you rotate other geometries?  Say, the geometry of rotation itself?

I have an idea for what the grand unified field theory will look like; I typically express in sin(ln(x))/x.  I have no particular attachment to this equation - I've found others that exhibit the behavior I'm looking for - except that it is the most parsimonious equation I've yet found with the behaviors I am looking for.

You can arrive at it in other fashions, say, by solving a recursive function of the integral of 1+sin(x)/x^2; my approximation of the solution appeared to converge on a function with characteristics similar to sin(ln(x))/x.  This was an early attempt at attempting to rotate the geometry of rotation itself, but I was unable to solve the equation.

I don't know the correct way to derive the equation; however, it seems clear to me that, once you think about the act of rotating rotation, you should be on your way to the description of a force that looks like this:

At the gluon/quark level, we have Strong Gravity.  I don't honestly know that much about this approach, and happened upon the fact of its existence by happy accident, but it fits.

Above that, we have a repulsive force keeping quarks apart.  Then an attractive force holding collections of quarks together to form a proton.  Then a repulsive force holding protons apart.  Then an attractive force holding protons together in the nucleus.  Then a repulsive force keeping nucleii apart.  Then an attractive force - gravity.  Then the cosmological constant, a repulsive force.

Looks like a sin wave.  A rotation of our rotation.  Note the conspicuous absence of electrical forces.  I am pretty sure we just plain don't need them; I believe it is sufficient that electrons are antimatter.  But that's a topic of its own.