Hypothesized lepton inner discreteness

摘要

In this paper, I will investigate a possible inner discreteness in the electron and muon particles. For the electron case, I will investigate the process of the electron transition between two energy levels in an atom. I will use the idea of a hidden variable in time as a part of the explanation for the atomic decay through electron transition between two energy levels and the electron transition distribution in time. The hidden variable idea will be used to explain the exponential decay time distribution of the electron transition. That is the fact that there is a distribution at all. In particular, I focus on the nature of the electron transition time distribution and try to evaluate if it is continuous or discrete. For the case it is discrete, I try to quantify the number of steps the distribution has by using the Bekenstein Bound. I will hypothesize from this possible number of steps regarding the possible electron discreteness. That is, I argue that it is possible that the electron has a hidden variable with discrete set of values. For the muon case, I will look at the muon decay time distribution and again as in the electron case try to evaluate its possible hidden variable in time discrete distribution using the Bekenstein Bound. Possible experimental ways to reveal the above possible electron and muon inner discreteness are discussed.