  Starting from a statistical model of the electron, which explains spin and
spin measurements in terms of a probability density distribution resulting from
a rapidly changing angular momentum during an extended Zitterbewegung, a
light-like model of electron and Fermions is formulated. This model describes
individual particles in terms of paths of a moving quantum. It is shown that
this description allows one to reproduce observable properties as path-averages
over a period of the fast extended Zitterbewegung in elementary calculations.
The general topology of the paths may be described as a helical path, with a
helix axis forming a circle around a fixed point in space. The radius of the
helix and of the circle are equal and given by half the reduced Compton wave
length of a photon of energy equal to the rest energy of the particle
described. The paths depend on the relative velocity between the described
entity and the observer, and represent the De Broglie wave. The merits of the
proposed model are summarized and its role in relation to the established
description by quantum mechanics discussed. It is concluded that it supports
the existence of the proposed extended Zitterbewegung, and offers a description
of quantum behaviour without quantum mechanics.
