I must admit that I’m only managing to follow about 75% of your arguments. Still, I’m slowly building up a mental model of what entanglement is really all about that’s substantially different than what I had before.
I know that this model is superior because, for the first time, the concept of entangled photon holes doesn’t appear to be meaningless nonsense.
Ever since I read QED a few years ago, I’ve wanted to write a Quantum Ray-Tracing package that would use a discrete version of this summation over arrows to render scenes composed of a 3D grid of particles. It would have the advantage that certain classical ray-tracing problems having to do with questions of what, exactly, is a surface and its normal would go away. It would also correctly render diffraction gratings, butterfly wings and oil slicks, just given their physical arrangements.
On the negative side, it would require some serious R&D into rendering algorithms to get the computation times down to acceptable levels. Alas, I’ve never had the leisure to spend that kind of time on the problem.