Quantum power: a Lorentz invariant approach to Hawking radiation

2021/11/30 by Michael R. R. Good, Eric V. Linder
Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1140/epjc/s10052-022-10167-6

published as Eur. Phys. J. C 82, 204 (2022) · 4 pages, 3 figures

arxiv created 2021/11/30 · openalex publication_date 2022/03/01 · arxiv updated 2022/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Particle radiation from black holes has an observed emission power depending on the surface gravity κ= c⁴/(4GM) as P_\textrmblack hole ∼ (ℏ κ²)/(6πc²) = (ℏ c⁶)/(96πG² M²) , while both the radiation from accelerating particles and moving mirrors (accelerating boundaries) obey similar relativistic Larmor powers, P_\textrmelectron= (q²α²)/(6πε₀ c³) , P_\textrmmirror =(ℏ α²)/(6πc²) , where α is the Lorentz invariant proper acceleration. This equivalence between the Lorentz invariant powers suggests a close relation that could be used to understand black hole radiation. We show that an accelerating mirror with a prolonged metastable acceleration plateau can provide a unitary, thermal, energy-conserved analog model for black hole decay.

Citations

• Quantum Fields in Curved Space
• Classical radiation from a uniformly accelerated charge
• Reflections on moving mirrors
• Classical Electrodynamics, 3rd ed.
• The principle of equivalence
• Radiation from a moving mirror in two dimensional space-time: conformal anomaly
• Particle creation by black holes
• Time dependence of particle creation from accelerating mirrors
• Accelerating Plasma Mirrors to Investigate the Black Hole Information Loss Paradox
• Accelerating boundary analog of a Kerr black hole