New extended model of the Dirac electron

Using a nonlocal function (y)= K (|y –x|)(x) d(x) as a solution of the Dirac equation, we have constructed a new extended model of Dirac's electron. This new model of the electron permits us to eliminate all known divergences in a natural way. The fundamental role of an elementary length (which can be calculated) in the treatment of divergences is presented in detail. The essential feature of the model is the hypothesis of the existence of an electron which possesses a center of charge and a center of mass that do not coincide. Finally, a calculation of the fine structure constant =e ²/hc based on such a model is presented.