On the Space-Time Structure of the Electron
Martin Rivas
In previous works we have found a Lagrangian description of classical elementary spinning particles where the spin is produced by the zitterbewegung and rotational motion of the particle around the center of mass. The novelty with respect to other approaches is the definition of particle. The usual canonical formation defines a classical particle as a system whose phase space is a homogeneous space of the Poincare group. In our approach is the kinematical space of the system which is required to be a homogeneous space of teh corresponding space-time kinematical group. This definition of particle leads for a general Lagrangian to depend on time, position, velocity, acceleration, orientation and angular velocity pf the particle. This dependence on second order derivatives of position makes necessary to work in a generalized Lagrangian formalism. One of the salient features for a general spinning particle is that the center of mass q does not match with the position r of the particle and is a function of the above observables.
