*On the Space-time Structure of the Electron*

Scientific Paper | |
---|---|

Title | On the Space-time Structure of the Electron |

Author(s) | Martin Rivas |

Keywords | space-time structure, electron, spinning particles, rotational motion, center of mass |

Published | 1994 |

Journal | None |

Pages | 383-386 |

## Abstract

In previous works ^{1,2} 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 its center of mass. The novelty with respect to other approaches is the definition of particle. The usual canonical formulation 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 the 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 of the particle. This dependence on second order derivatives of position makes it 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

**of the particle and is a function of the above observables.**

*r*