Professor Kozlowski,
Very interesting thought process with some nice reminders of the properties of the physics. "fields with odd-integer spins can produce both attractive and repulsive forces; this with even-integer spins such as scalar and tensor fields produce only an attractive force".
I remember learning this a long time ago, but forgot why this is true. Indeed, I don't think I ever got an answer from anyone on that, and it seems odd to me now. For example, are we certain that antimatter is gravitationally attracted to matter? This would seem a very difficult (but perhaps feasible) experiment to do in an accelerator.
Certainly a thought provoking argument, with calculations that land perhaps in the "zone" of feasibility. I must read this more carefully and follow up after the contest.
In the meantime, my own investigations lead me to a different conceptualization of "time atoms" as the photon traversal between two atoms. This (finite) traversal down a "one dimensional path" defines time (and the transfer of information from the emitter to the absorber). The interesting aspect of this is that if the role of emitter and absorber were now to be reversed and the photon were to return back to the original atom, would time be reversed also. Furthermore, if a photon bounces back and forth between these two atoms, would this behavior it manifest itself with the same measurements we get in Bell tests of entanglement?
Good luck in the contest, I gave you high marks for a quality idea and description.
Kind regards, Paul
