Dear Eugene,
thank you very much for your very inspiring essay.
I was surprised to find even esoteric aspects in your profound approach, f.e. the Not-Two aspect of reality, which is indeed terribly difficult for our brains to deal with.
I am convinced that our Universe bases fundamentally upon such a Not-Two conception (which I am calling the "Principle of Radical Non-Duality"). The Wave-Particle Duality of Light is - as conceived by me - nothing else than a physical reflection of this fundamental principle.
It implies that wave and particle are two distinguishable aspects of one and the same reality comparable with the two sides of one and the same coin.
Einstein was quite unhappy about this dualism (i.e. this Not-Two aspect of light). He could not accept quantum mechanics because in quantum mechanics this duality was actually consolidated as a fundamental principle whereas Einstein dreamed of Oneness instead of Not-Two-Ness.
If we accept this duality of wave and particle as being a fundamental aspect of light, it would be natural, to assume that the speed of light c is of dual nature as well. That means the fundamental constant of c should be given twice - in a wave-like version and in particle-like version. In special relativity only one of these two faces of c has been taken into account, expressed by its second postulate.
In this way the Not-Two aspect of reality - if taken as a fundamental feature of reality - implies revolutionary physical consequences like the existence of a hidden face of c. If this concequence were true, special relativity would be fundamentally incomplete.
When P. Dirac combined Quantum Mechanics and Special Relativity, just this incompleteness of special relativity became integral part of QED. To me this incompleteness of special relativity is the misleading core of QED, in particular with respect of the relativistic version of Lorentz symmetry.