Larmor Temperature, Casimir Dynamics, and Planck's Law

TL;DR

This paper explores the relationship between acceleration, thermal radiation, and quantum effects, demonstrating analytic consistency between dynamic Casimir effects, black hole evaporation, and Planck's law at relativistic speeds.

Contribution

It introduces a unified analysis linking Larmor temperature, Casimir dynamics, and Planck's law, highlighting equilibrium conditions in relativistic quantum radiation phenomena.

Findings

Analytic consistency between acceleration and thermal radiation.

Long-lasting constant acceleration and power emission at ultra-relativistic speeds.

Balanced equilibrium of Planck-distributed particle radiation.

Abstract

Classical radiation from a single relativistically accelerating electron is investigated where the temperature characterizing the system highlights the dependence on acceleration. In the context of the dynamic Casimir effect with Planck-distributed photons and thermal black hole evaporation, we demonstrate analytic consistency between the ideas of constant acceleration and equilibrium thermal radiation. For ultra-relativistic speeds, we demonstrate a long-lasting constant peel acceleration and constant power emission, which is consistent with the idea of balanced equilibrium of Planck-distributed particle radiation.