Time Paradox, Zitterbewegung and Noncommutative Geometry

Abstract

The zitterbewgung of the electron is associated with an intrinsic time for an electron, or any of the fermionic particles with mass such as quarks and leptons. In this article it is shown that a massless particle coupled to noncommutative coordinate geometry is subjected to a gauge-like force. This force acts to trap the massless particle in an orbit within a region. This bottled massless particle then has an induced mass. This is then argued to be tied to fundamental aspects of physics, such as a dynamical Higgs model, as well as strings and p-brane theory.