This phenomenon has solutions where acceleration increases(*) exponentially in time causing a particle to acausally respond before this force acts.
Eliezer used the relativistic version of this phenomenon in a 1943 proof showing that a point charge cannot occupy the center of a source of the Coulomb force. The formula for the relativistic version of this phenomenon can be derived by performing an integral over time of the Lienard formula while the non-relativistic version is arrived at by performing the same operation on the Larmor power formula. This phenomenon has solutions where acceleration increases(*) exponentially in time causing a particle to acausally respond before this force acts. The magnitude of this force is proportional to the time derivative of the particle's acceleration or jerk. It is sometimes referred to as the radiation reaction force. For 10 points, identify this doubly-eponymous recoil force exerted on a moving charged particle by its own radiation.
Eliezer used the relativistic version of this phenomenon in a 1943 proof showing that a point charge cannot occupy the center of a source of the Coulomb force.
Abraham-Lorentz force [accept radiation reaction force before mentioned; DO NOT except Lorentz force]