Thanks for linking that spin paper earlier - I'm reading it and it's interesting.

With respect to uncertainty of angmom vs position - I would expect the pontryagin dual of angmom (which would be affected by the H.U.P.) to be angular density distribution, not "position" as such. Do you have any information on this relationship?

Also, do you know what the energy eigenstates of electrons in the fermi band look like, and how those relate to velocity eigenstates? As I understand, fermi band electrons that carry electrical current are usually not bound to atoms, but in a much wider (space basis) state, which I would expect to be closer to momentum/velocity eigenstates.

Also, how literal are you claiming the OP is? I've never heard this "gearing" analogy before, and I'm wondering if it's highly metaphorical or if this reflects some actual physical process I'm just not familiar with.