An advanced undergraduate derivation of acceleration thermality

2026/07/09 by Michael R. R. Good · 1 voice
Physics and Astronomy · #physics.class-ph

paper · pdf · doi:10.1088/1361-6404/ae87ea

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.

Citations

• Hawking-like radiation from evolving black holes and compact horizonless objects
• Minimal conditions for the existence of a Hawking-like flux
• Quantum field theory in curved spacetime
• Quantum Information and Quantum Black Holes
• Black Holes Are One-Dimensional
• Reflections on moving mirrors
• Notes on black-hole evaporation
• Radiation from a moving mirror in two dimensional space-time: conformal anomaly
• Thermal Agitation of Electric Charge in Conductors
• Particle creation by black holes

Discussions

• Michael R. R. Good: An advanced undergraduate derivation of acceleration thermality https://arxiv.org/abs/2607.08184 https://arxiv.org/pdf/2607.08184 https://arxiv.org/html/2607.08184 [bsky, 0 points, 0 comments]

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