Dirac--Maxwell Solitons
  Detailed analysis of the coupled Dirac-Maxwell equations and the structure of their solutions is presented. Numerical solutions of the field equations in the case of spherical symmetry with negligible gravitational self-interaction reveal the existence of families of solitons with electric field dominance that are completely determined by the observed charge and mass of the underlying particles. A soliton is found which has the charge and mass of the electron as well as a charge radius of 10^{-23} m. This is well within the present experimentally determined upper limit of ~ 10^{-18} m. Properties of these particles as well as possible extension to the work herein are discussed. 
C. Sean Bohun (Department of Mathematics and Statistics, University of   Victoria), F. I. Cooperstock (Department of Physics...