Hi Alan,
It is exciting to participate in the marketplace/battleground of physics ideas; somewhere out there, there are 150 very proud mothers with a child who is contributing to the very best reasoning and methodology that physics has to offer.
Gravity has been an extraordinarily difficult puzzle to solve. Complete with "four-dimensional" "space-time" behavior and mediated by the spin-2 boson called "graviton", the mysterious force of gravity has baffled the greatest minds even today. We are the six blind men surrounding the elephant called "gravity".
If I had to guess at the properties of the graviton, I would imagine it to be similar to a photon, but with the following differences. A photon has energy
[math]E=hf[/math]
But a graviton would have energy proportional to the change in frequency,
[math]E=h \Delta f[/math]
Photons have spin-1. Gravitons have spin-2. I would surmise that a photon with a shifting frequency would have a shifting polarization as well. A shifting polarization has an Archimedes quality to it. Equal quantities of left and right rotating gravitons would cancel out any corkscrew kinds of gravity fields; but could potentially be induced by a very clever feat of engineering.
I think that an Archimedes graviton can coexist with a fabric of space-time. After all, a lens interacts with the electromagnetic field of light, but an atom only absorbs and emits light, one photon at a time.
But why is Newton's gravity law identical in appearance to Coulombs electrostatic law? If we think in terms of mass M and m, then our argument falls apart at the meaninglessness of a negative mass, -m. But if we use +E and -E as the charges, then something interesting happens. +E can signify the energy of a photon. -E is compatible with both the Zero-Energy-Universe idea where gravity is the negative energy; -E can also refer to the missing lower bound of the vacuum energy.
In my paper, Photon Theory, figure 1 is an attempt to bring together the positive energy of the photon with the negative energy of gravity. In assembling the pieces of the puzzle, gravity interlocks very tightly with energy in two ways.
1. Gravitational time dilation scales the duration of one SECOND between reference frames; simultaneously, the photon of energy E = hf experiences a change in frequency; frequency is in cycles per SECOND.
2. The photon that climbs or falls (between fixed points A and B) along the gravitational radii will lose energy to gravitational potential, or gain energy from gravitational potential.
+Q and -Q are opposite charges that exist upon point-like particles that are attracted to each other. +E is light (regardless of what form it takes) and -E is the fabric of space-time; they also attract each other (or yearn for each other).
Gravity and light interlock like pieces to a puzzle.