Classical Acceleration Temperature (CAT) in a Box

TL;DR

This paper introduces the Classical Acceleration Temperature (CAT) concept, showing that a confined, slowly accelerating electron emits thermal radiation with a Planck spectrum, enabling tabletop experiments and detailed theoretical analysis.

Contribution

It presents the first fully parametrized, spectrum-solved model of finite-distance accelerated charge radiation with a fixed transit distance and slow maximum speed.

Findings

Electron emits thermal radiation with a Planck distribution.

Finite-distance, asymptotically static worldline analyzed.

Analytic power, spectra, and energy derived.

Abstract

A confined, slow-moving, accelerating electron is shown to emit thermal radiation. Since laboratories face spatial constraints when dealing with rectilinear motion, focusing on a finite total travel distance combines the benefits of simple theoretical analysis with prospects for table-top experimentation. We demonstrate an accelerated moving charge along an asymptotically static worldline with fixed transit distance and slow maximum speed, emitting self-consistent analytic power, spectra, and energy. The classical radiation is Planck distributed with an associated acceleration temperature. This is the first fully parametrized, spectrum-solved, finite-distance worldline.