Dear Peter,
Well, you certainly got the physics part!
The idea of electrons actually having two components is interesting. My own thought is we're looking at a non-oriented manifold. For instance, a vector orthogonal to the surface of an ideal Mobius strip, takes twice around the strip (720 )to return to the same direction. And because of the twist, it actually takes up space, ah, is a Fermion. Can a classical mechanics be developed from this? If you take two Mobius strips, and attach their edges, and inflate it, you have a torus. And?
Is space really symmetric? In the large, yes. But if up and down were really the same, wouldn't they be indistinguishable? If indistinguishable, wouldn't they be identical. ie only one. Same for left and right? Front and back? Thus each direction must distinguishable from each other. This on the micro-level, but statistically mixed in the macro, so in the large the space dimensions are indistinguishable. The idea is that space has a 'Fermionic' structure, otherwise it would all be in the same place. (So the universe is seriously twisted, which explains a lot!) On the other hand, to say that 'space' has a micro structure seems perilously close to suggesting the existence of an ether. Argh!
Are QM and SR marriageable? This may be impossible to determine, like the Turing halting problem, or the "word problem for groups," (See Wikipedia) although it seems likely to show that one (SR) is an approximation in some limit of the other (QM), just as Galilean dynamics is shown to be an approximation of SR, in the limit of low velocity. I just don't know. It's starting to take on the dimensions of famous philosophical problems, like free will and determinism.
I had difficulty following your argument, but my physics is so rusty, (despite my being able to drop a few ideas,) I can only blame myself. I will not vote down anyone's essay based on my ignorance, but I'm afraid I must abstain on my vote here. (That may be a good thing for you, if others in my situation take the same action.)
I do believe society's problems are stopping us from solving real world problems. And I think it's getting kind of urgent.
I wish you the best of luck in the competition. And I thank you for your kind words and, I believe, strong vote.
Charles
PS I'm commenting on your comment at my essay, too.