Dear Alan,
I think it is important to look for a consistent picture of Quantum Mechanics, in particular of Quantum Electrodynamics (QED), how do you do it. But I think, too, that every attempt to solve the wave-particle duality in favor of a wave-like or particle-like picture does not work.
You may be successful to a certain degree but at the end you will be faced with unsolvable problems, because wave-particle duality is a semi-fundamental feature of reality, which reflects a deeper still unseen logical duality of the ultimate foundational background (i.e. the quantum vacuum).
As QED is a theory in that special relativity is built into each of its equations, special relativity is one of its crucial points. Einstein's theory determines essentially our view and understanding of Lorentz symmetry.
But if we go back to the time when Einstein formulated special relativity, we can see, he tried to explain away the wave-particle duality that was already touched by this theory.
According to A. Pais it is indeed a very striking characteristic of Einstein's early scientific writing that he left relativity theory separate from quantum theory, even on occasions where it would have been natural and straightforward to connect them. This separation is already evident in his paper on special relativity. It contains the transformation law for the energy E of a light beam, which Einstein commented in an unusual way: 'It is remarkable that the energy and the frequency of a light complex vary with the state of motion of the observer in accordance with the same law.'
This statement is unusual insofar as Einstein had completed his light quantum paper concerning just this issue three months earlier. It was thus a good opportunity to refer to the quantum relation between energy and frequency of light, which must have been quite fresh in his mind. But Einstein did not use this opportunity...
But there is an aspect in special relativity that has been overlooked since 1905 - an aspect, that is of fundamental importantce. If light is really of dual nature, one would expect, that the speed of light c is also of dual nature, which means, the speed of light c should exist in a wave-like and in a particle-like way - an assumption which I am calling the "Dual Parametrization of c".
But if we consider special relativity, in particular its second postulate, we can easily see, in Einstein's theory the speed of light c is only defined in a wave-like manner - without any (explicit) reference to a particle-like supplement.
And just this dual nature of c can be expressed in a "space-time-picture" whose Lorentz symmetry differs significantly from the relativistic version.
I am convinced that this new space-time-picture allows us to avoid many problems caused by the usual Copenhagen interpretation of Quantum mechanics.
Though you are explicitly relating to the relativistic spacetime, your picture of a rotating vector field could possibly be a part of this new dualistic space-time-picture. Actually it is composed of a circle (= wave-like part of c) and a square (= particle-like part of c). In other words: It looks very much like a MANDALA, which is in its essence a specific vectorfield.