Hidden symmetries and the universality of Hawking radiation
Abstract
Quantum tunneling of particles across a black hole (BH) horizon provides an intuitive interpretation of Hawking radiation (HR), yielding a conceptually simple derivation of the thermal spectrum within a semiclassical framework. However, for BHs obeying the no-hair theorem, usual implementations of the complex-path (Hamilton-Jacobi) method typically rely on approximating the metric near the BH horizon. In this work, we demonstrate that the Hawking spectrum can be derived without such approximations by exploiting gauge invariance in quantum field theory and the separability of the Hamilton-Jacobi (HJ) equation arising from hidden symmetries of these spacetimes. This perspective shows explicitly why the BH behaves as an effective (1+1)-dimensional blackbody at the event horizon, provides the conditions needed to extend the HR to higher-spin particles, and offers a framework that can naturally incorporate back-reaction and quantum-gravity effects.
Related
- Amplitudes for Hawking radiation
- Hawking radiation from a semi-classical Schwarzschild black hole
- Reconstruction of Black Hole Islands from Hawking Radiation via the Algebraic Petz Map
- Guiding center quantization of a quantum Hall analog of Hawking radiation
- Decrease of the entanglement entropy of the Hawking radiation induced by backreaction in the Bose-Einstein condensate
BibTeX
@misc{perezcastro2026hidden,
title = {{Hidden symmetries and the universality of Hawking radiation}},
author = {Ivan Pérez-Castro and Abdel Pérez-Lorenzana},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25475},
eprint = {2609.25475},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25475},
}
RIS
TY - UNPB
TI - Hidden symmetries and the universality of Hawking radiation
AU - Ivan Pérez-Castro
AU - Abdel Pérez-Lorenzana
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.25475
UR - https://arxiv.org/abs/2609.25475
AB - Quantum tunneling of particles across a black hole (BH) horizon provides an intuitive interpretation of Hawking radiation (HR), yielding a conceptually simple derivation of the thermal spectrum within a semiclassical framework. However, for BHs obeying the no-hair theorem, usual implementations of the complex-path (Hamilton-Jacobi) method typically rely on approximating the metric near the BH horizon. In this work, we demonstrate that the Hawking spectrum can be derived without such approximations by exploiting gauge invariance in quantum field theory and the separability of the Hamilton-Jacobi (HJ) equation arising from hidden symmetries of these spacetimes. This perspective shows explicitly why the BH behaves as an effective (1+1)-dimensional blackbody at the event horizon, provides the conditions needed to extend the HR to higher-spin particles, and offers a framework that can naturally incorporate back-reaction and quantum-gravity effects.
ER -