Un-renormalized classical electromagnetism (Q2368870)

The author considers some of the problems associated with the infinite electromagnetic mass associated with electromagnetic self-action. Initially, he discusses the action and the Euler equation associated with pairs of charges in a positronium-type arrangement and passes on the necessary Čerenkov case condition. The effect of higher-order terms in the Euler equation is mentioned and there is a detailed discussion of the energy and angular momentum for charge part in circular motion. He points out that some problems may be associated with imaginary mass. The article closes with an appendix, on the mechanical properties of a system of particles governed by a two-time action, giving the appropriate Euler equations and the equations of charge energy.