Dr. Weinstein,
The idea or premise of descriptions of quantum mechanics having explanation does entice the forward thinker to come up with another theory which also accounts for these strange effects. From the statement near the bottom of your last page about the magnetic field having to equal zero, is this because the electric field would be compressible, if a magnet charge where to leave it? If that makes no sense, could you clear up what is meant by the word"must" in that context?
Moving on a bit farther, your constraint about periodic functions may represent the occurrence of effects (say of a G.R. gravity viewpoint) that do not model the physical Universe at at regions of space, those far removed from the planet, if this distance scale is applied to the case of gravity, with any luck. So that may be something positive to look for! Also, does the relativity of size relate in anyway to the ideas presented in this essay?
Best,
W. Amos Carine