Field Theory of the Spinning Electron and Internal Motions

We present here a field theory of the spinning electron, by writing down a new equation for the four-velocity field vμ (different from Dirac theory), which allows a classically intelligible description of the electron. Moreover, we make explicit the kinematical properties of such a velocity field (which are also different from the ordinary ones). Finally, we analyze the internal zitterbewegung (zbw) motions, for both time-like and space-like speeds. We adopt in this paper the ordinary tensorial language. Our starting point is the Barut-Zanghi classical theory for the relativistic electron, which relates spin with zbw.