James
I know you will have spent a considerable amount of time considering the observations, of anomalous galaxy motions and related issues? Rotation curves, cusp core problem, Tully Fisher relation etc etc.
I am going to present this in very simple terms, but I expect you will still follow my lead. But please hit me with as many questions as you like?
So there are two primary approaches attempting to resolve these anomalous motions. The Dark Matter hypothesis, which I will classify in very simple terms as a (variable particle theory) add invisible particles to add mass and therefore gravity. And MOND hypothesis, which I will classify in very simple terms as a (variable gravity theory) tweak the properties of gravity to fit observations.
Each approach has demonstrated a level of success and failure, and we can infer a great number of things from their overall individual considerations, as well as from their comparative of one another.
Now we consider a new approach to resolving anomalous galaxy motions, one which yours and my theory opens the door too, which I will refer to in simple terms as a (variable baryon mass) hypothesis.
It is very simple. Your mass is made of photons. Your photons slow down within a light-field (gravitational field), causing photons to pile up on one another, blue shift. All you need to do to envision a variable baryon mass hypothesis, is to assume the potential for mass is the same potential as lights variable velocity. If this is the case, then you already have the formula that describes it.
note: I'm going to speak in terms of gravitational potentials instead of light-field, just in case others are trying to tune in.
So you take a galaxy in mind, and envision the gravitational potentials throughout. There is a higher gravitational potential at the perimeter of the galaxy, which translates to a higher photon speed, and therefore higher mass potential. As the gravitational potential declines, as you move toward the centre of the galaxy, the mass potential declines. Less mass potential equates to less gravity which equates to orbital velocities deviating from predictions.
Interestingly, as you do move from the outer galaxy to the inner, a transition is evident which can be summarized as, an under prediction of the outer galaxy motions (rotation curves), transitioning through to an over prediction of interior galaxy motions (cuspy core problem). And somewhere approximating the location of Earth within the galaxy, where we humans have calibrated our measures of absolute mass, is the place where our measures coincide with prediction. Interesting!
The trick would be to use your formula to see if this baryon mass variable can model flat galaxy rotations. Then assuming it could, see if this same approach can be extended to anomalous galaxy cluster motions, without tinkering with the values?
Do you understand my meanings? Do you see that your approach to the fundamental nature of mass, lends itself very easily to this variable mass concept? I have spent a good deal of time considering this possibility, and by my reckoning, it takes the best aspects of Dark Matter and MOND, and makes them its own, while divorcing many of the conceptual deficiencies of each.
There are not many parameters available to be tinkered with, concerning gravitational orbital velocities. Dark Matter just adds mass, that adds gravity, that equates the velocities. And now is in search of the invisible particle that will allow them to prescribe the physics. MOND just adds gravity at low gravitational velocities, but does not know how to prescribe physics to this reasoning. Your variable light theory is a prescription to new physics, which justifies a new way of tinkering with parameters of mass, and therefore gravity and orbital velocities. If it worked, it would be an extraordinary validation of your life's work.
Differing light-field potentials, express different mass potentials. What do you think? I hope I am speaking your language?
Steven Andresen