The vacuum backreaction on a pair creating source

TL;DR

This paper presents a solution to the vacuum backreaction problem on a pair-creating source, showing it restores energy conservation and imposes a new velocity limit, with effects similar to relativity.

Contribution

It introduces a novel solution demonstrating how vacuum backreaction affects source kinematics and energy conservation, revealing a nonanalytic coupling and a new velocity bound.

Findings

Vacuum backreaction restores energy conservation.

Imposes a new upper velocity bound on the source.

Changes in kinematics resemble relativistic effects.

Abstract

Solution is presented to the simplest problem about the vacuum backreaction on a pair creating source. The backreaction effect is nonanalytic in the coupling constant and restores completely the energy conservation law. The vacuum changes the kinematics of motion like relativity theory does and imposes a new upper bound on the velocity of the source.