Dynamics under radiation damping from ab-initio formalism -nonlocal restraint on acceleration runaway in electrodynamics

Abstract

Classically encountered problem of acceleration runaway in radiative motion of a charged-particle is addressed by considering the criterion of minimum radiation loss under optimum displacement in variationally referred dynamic course in between a pair of arbitrarily selected space-like surfaces having time-like separation. Using the criterion, analysis made by involving a family of infinitesimally differed paths reveals that for attaining stationary action of the dynamic course it is necessary to involve orchestrated displacement of the path family. Dynamics that generally follows from such analysis involves nonlocally mediated interaction besides the conventional ones. Amidst external field perturbation it is shown that ubiquitous nonlocal mediation incessantly attempts optimizing displacement in accomplishing minimum radiation loss. The mediation involves virtual exchange of quantized energy and momentum of the interacting field and particle, which in conformity with quantum mechanical prescription is describable by unitary evolution. Under increasingly high perturbation, the mediation can boost its defensive effort but up to a critical limit with stress release predominantly as Larmor radiation relaxation. Observable acceleration and jerk, and relaxations thereof in the nonstationary evolution are indeed markers of the defense failure. Recoil from the Larmor relaxation impedes kinetic energy growth and also imparts shear stress to the spherically polarized vacuum field of point charge; the transverse stress release having similitude of Hawking-Unruh radiation. Defending nonlocal field restrains acceleration runaway and loss of causality. The classically based ab-initio analysis on nonlocal realisms further proves its versatility in revealing nonlocally mediated geodesics structure of quantized 4-space with useful revelations.