Jason,
Steve's right, you are creative.
Just last week you pointed out that information is lost when photons are redshifted (and vice versa). That's an important observation.
I like your shift photon as frequency analog of Newton's force equation. But although gravity produces a force, force does not necessarily produce gravity, unless gravity and acceleration are defined to be identical. But then what does one call it when an electric field accelerates a charged particle--gravity?
Often in an equation, the equal sign has sort of a 'one-way' meaning. I suspect it's the same for photon shift.
On the other hand I have recently focused more effort on understanding the coupling of the electromagnetic and the gravitomagnetic fields and have run across a few surprises. I just posted a brief paper relating to some ideas from Peter Jackson's essay that I liked and that Willard Mittelman also thought were significant. The paper is here:
GEM and the Constant Speed of Light
In my opinion [which is free, and worth just what you paid for it] you should continue to focus on photons and gravity. Particles as photons trapped by wave functions don't do much for me.
The issues that you are dealing with are complex and tricky. Time dilation, speed invariance, wavelength and frequency shifts due to gravity [or anything] are not simple or easy to understand, and you may yet figure out something that no one has seen. I had not seen the info loss you mentioned.
Unless I'm completely confused, even if the photon shift worked to produce gravity, would not the sawtooth ramp shown in figure 4 produce oscillations rather than sustained propulsion? Each repeat involves a negative shift (the 'flyback') that cancels the previous positive shifts. Of course some sound engineers have figured out how to generate a tone that sounds like it's always ascending, going higher and higher. I'm not sure how they do it but I suspect it's based on chords and some trick of the auditory system. You might ask Eckard how that works. Usually it's hard to get real work out of such tricks.
Your writing is delightful--- "Goood Mooorrrnning Houusstonnn" and your insights are original. You may not have solved the gravity beam (as I understand it) but I would be the last person to try to stop you from thinking truly original thoughts. They all look crazzy at first!
Good luck my friend,
Edwin Eugene Klingman