Richard,
Thanks for your support of my essay. Just briefly looking at your essay (didn't have the time to read through it carefully) I feel certain we agree on many ideas. The following quote from your introduction hit an immediate chord with me, "We postulate 'photons' as not conserved, and that light can be subtly changed on re-emission.". The conservation of 'photons' can only make sense if 'photons' are 'particles'.
In my Endnotes I mathematically prove the following proposition: "if the speed of light is constant, then light propagates as a wave". This, together with Maxwell's results, "if light propagates as a wave, then the speed of light is constant" disproves, in my opinion, the Photon Hypothesis that light consists of 'photon particles'. And this goes along with what you are saying. Furthermore, and this you will find especially important, Eric Reiter in his essay, , presents experimental evidence to exactly what you are postulating. Check it if you have not yet done so. And do support Eric's efforts to bring this to the attention of the larger physics community with a good rating to put his essay (more so than mine!) into the final group.
You ask, "You must explain in detail the relatively limited value of a non tautological equation". Fair enough! My reasoning on this is grounded on two issues for me: 1) Why should our mathematical deductions and calculations be reflected in our measurements of 'what is' the Universe? And 2) How postulated mathematical models of 'what is' the Universe are any different from past metaphysical models of 'what is' the Universe. All having failed!
To answer, I see no logical or philosophical basis for our Math to be reflected in Nature. Thus, mathematical models of the behavior of Nature can best be convenient human approximations of that behavior. As such, definitely they are very useful. The problem for me arises when more is claimed of these! When the model of 'what is' is 'what is'. That somehow in our models we are able to describe 'what is' the Universe. This I find to be 'metaphysical'. No different than all past attempts by humans to answer the same question. Claims to knowing truly 'what is' the Universe are as absurd to claims of truly knowing another human being. All we can really know for sure (if that) are our experiences and 'measurements' of another person. But not the person himself. But claiming to know another person and acting on that knowledge can not only be wrong, but can do damage to our ability to understand them further. So Richard, for me this is a crucial issue. I wrote my essay with that deep conviction and passion. Sorry if that did not come through!
Whereas postulated mathematical models of 'what is' the Universe have no logical validity (but are simply empirical ), mathematical tautologies have logical certainty! And when these are applied to 'data mine' our measurements of Nature (what we can only claim to truly know) the conclusions we draw have logical validity. Thus, these will be reflected in Nature. I have shown, for example, that Planck's Formula for blackbodies is not actually a physical law that depends on the physical existence of energy quanta! But this Formula in fact a mathematical tautology, A = A. This fact is what can explain why the experimental blackbody spectrum of deep space is so indistinguishable from the theoretical curve based on Planck's Formula!
All the best,
Constantinos