A classical theory of bosons

Abstract

A classical (unitary) field theory involving a non-linear modification of Maxwell’s equations, which depends explicitly on the four-potential, is shown to have particle-like solutions which are finite everywhere, in addition to the usual free fields. For a specified charge a discrete mass spectrum is obtained. The neutral and charged systems are independent, the former exhibit asymptotic mutual interactions of the Yukawa type and the latter obey the Lorentz equations in weak external fields. The neutral mass spectrum for a few of the lowest states is obtained numerically and with the aid of a variational procedure and compared with the experimental masses of spin-zero particles.