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arXiv · 2607.08184

An advanced undergraduate derivation of acceleration thermality

Michael R. R. Good
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Abstract

The thermal radioactivity of beta-decay photons, described by a 1D Planck distribution, can be modeled as classical radiation emitted by an accelerated electron. Here, we present the basics of the out-of-equilibrium computation to illustrate acceleration thermality. Suitable for advanced undergraduate calculations, we demonstrate that an exactly soluble non-uniformly accelerated trajectory enables spectral analysis of the emitted photons, facilitates time evolution, and reveals Planckian radiation.

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Michael R. R. Good. 2026-07-09. An advanced undergraduate derivation of acceleration thermality. https://doi.org/10.1088/1361-6404%2Fae87ea

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