The recent literature shows a renewed interest, with various independe
nt approaches, in the classical models for spin. Considering the possi
ble interest of those results, at least for the electron case, we purp
ose in this paper to explore their physical and mathematical meaning,
by the natural and powerful language of Clifford algebras (which, inci
dentally, will allow us to unify those different approaches). In such
models, the ordinary electron is in general associated to the mean mot
ion of a point-like 'constituent'' Q, whose trajectory is a cylindrica
l helix. We find, in particular, that the object Q obeys a new, non-li
near Dirac-like equation, such that - when averaging over an internal
cycle (which corresponds to linearization) - it transforms into the or
dinary Dirac equation (valid, of course, for the electron as a whole).