Upper limit for the mass of an elementary particle due to discrete time quantum dynamics

Summary

By considering an elementary particle to be a bound state of preons obeying a discrete time quantum formalism, we demonstrate that a maximum stable mass is permitted for the bound state, thus providing an upper limit in the mass spectrum in a series of similar particles. We also point out that the same line of reasoning prevents the space-time continuum from acquiring too violent a fluctuation from a Riemannian background. Such an effect might prevent fluctuations in the topology of space-time that the presently accepted path integral approach puts no limit on.