Trade-off Relation for Black Hole Entropy Fluctuations
General Relativity and Quantum Cosmology
2026-05-27 v1 High Energy Physics - Theory
Quantum Physics
Abstract
Black holes respond to infalling quantum matter fields by changing their entropy. Since such matter is quantum in nature, the entropy response should be sensitive to its quantum fluctuations. We show, within stochastic semiclassical gravity, that a horizon cannot record relevant quantum information with arbitrarily small entropy fluctuations. For the infalling photons encoding which-path information in the Danielson-Satishchandran-Wald decoherence experiment, we derive a trade-off relation between the stochastic variance of the black hole entropy change and the photon number.
Cite
@article{arxiv.2605.26214,
title = {Trade-off Relation for Black Hole Entropy Fluctuations},
author = {Kensuke Gallock-Yoshimura and Yoshihiko Hasegawa},
journal= {arXiv preprint arXiv:2605.26214},
year = {2026}
}
Comments
6 pages, 1 figure