Caro Donatello
Your paper is highly mathematical, while I like to think in terms of models that one can imagine and illustrate visually and mechanically (not a bad method, Maxwell used it at first !). I found intriguing similarities and basic differences in our approaches. You describe relativistic gears having a "close relationship between the quantum harmonic oscillator with angular frequency ¯ w = 2p /Tt , that is the mode of an ordinary quantum field with energy ¯E = h¯w¯ , and a classical particle moving along a circle of periodicity Tt . By assuming the time period Tt on a lattice with N sites".
In my fqxi paper and in my earlier 2005 Beautiful Universe proposal on which it is based, I have described a universe made up of a lattice of spinning dielectric nodes interacting with each other as 'slippery' spherical gears transferring angular momentum in units of (h) by induction.
I think one of the main differences in our approaches (if I understand yours correctly) is that you describe your system using the formalism of (SR) spacetime. I see interactions as absolute in timeless universe, perhaps as you describe in a stroboscopic way, as you nicely describe, but the stroboscope illuminates all the lattice instantaneously. I would greatly value your reading the papers and hearing your expert feedback.
Best wishes from Vladimir
