New solutions to an old equation

TL;DR

This paper reviews classical charge radiation theory, discusses recent classical tunnelling discoveries, presents multiple solutions for initial conditions, and highlights open problems related to D-branes and monopoles.

Contribution

It introduces classical tunnelling phenomena and explores multiple solutions in the Lorentz-Dirac framework, connecting classical charge dynamics with modern theoretical physics.

Findings

Classical tunnelling of charges through potential barriers.

Existence of multiple physically acceptable solutions for initial data.

Open problems linking charge dynamics to D-brane and monopole physics.

Abstract

We present a brief historical overview of the classical theory of a radiating point charge, described by the Lorentz-Dirac equation. A recent development is the discovery of tunnelling of a charge through a potential barrier, in a completely classical context. Also, a concrete example is discussed of the existence of several physically acceptable solutions for a range of initial data. We end by pointing out some open problems in connection with D-brane and monopole physics.