On the Born-Infeld electron: Spin effects

Abstract

We start from a natural generalization of the Born–Infeld Lagrangian which involves two constants h,k and two parameters s,θ0 and show, by investigating static solutions of a first order approximation with respect to a small parameter (ε=h/k) that s=1/2 and that h is directly proportional to Planck’s constant. It seems reasonable to interpret s=1/2 as the spin of the electron and the angle θ0 as its orientation. Thus we obtain solutions that appear to reflect the influence of the states of spin on the electromagnetic field.