Some thoughts on discrete physics and the reconstruction of quantum mechanics

The authors explore how relativistic quantum mechanics might be reconstructed on a finite and discrete basis, starting from the observation that strong interactions break scale invariance at the pion Compton wavelength and provide an event horizon for space-time description. Regions of this size act coherently, and can only be explored by studying the momentum and quantum number distribution of particles produced in high energy collisions that attempt to probe them. This leads to the concept of measurement accuracy bounded from below, from which they have derived finite and discrete replacements for the Maxwell and Dirac equations. They suggest how the Dirac equation could provide the sources and sinks for the Maxwell equations. A lower bound for mass measurement accuracy is proposed