Exponentially Long Evaporation of Noncommutative Black Hole
High Energy Physics - Theory
2026-04-17 v2 General Relativity and Quantum Cosmology
Abstract
We investigate Hawking radiation in noncommutative spacetime. For a dynamical black hole formed by the collapse of a matter shell, we demonstrate that spacetime noncommutativity modifies the interaction between the radiation field and the background geometry. In particular, the collapsing shell is effectively shifted by an amount proportional to the momentum of an outgoing Hawking mode. While the nonlocality inherent in noncommutative spacetime invalidates the conventional arguments for the robustness of Hawking radiation, the radiation decays substantially after the scrambling time, resulting in an exponentially long evaporation time.
Keywords
Cite
@article{arxiv.2604.04774,
title = {Exponentially Long Evaporation of Noncommutative Black Hole},
author = {Pei-Ming Ho and Wei-Hsiang Shao and Takuya Yoda},
journal= {arXiv preprint arXiv:2604.04774},
year = {2026}
}
Comments
27 pages, no figures; v2: minor typos corrected