Abstract

A new, covariant equation of motion for the radiating electron of finite extension is proposed. This new equation excludes the notorious runaway solutions and pre-acceler-ation. Recently a finite-size model of the classical radi-ating electron has been developed 2 , which re-duces to the famous Lorentz-Dirac theory 3 ' 4 , if a certain point limit * is performed. In this finite-size model no runaway solutions can occur, as is demon-strated in a future paper; and since the finite size of the electron has led to a non-local equation of motion for the radiating electron, one might rise the question whether the absence of runaway solu-tions is a common feature of all possible nonlocal generalizations of the Lorentz-Dirac equation