English

Quantum black holes: inside and outside

General Relativity and Quantum Cosmology 2025-10-24 v1 High Energy Physics - Theory

Abstract

For a unitary description of an evaporating black hole, one usually chooses the time slices that cover only outside of the event horizon, which is mostly problem-free because the event horizon is not encountered. However, is there any justification for avoiding time slices that cover inside the event horizon? To answer the question, we investigate the Wheeler-DeWitt equation, where the time slices can cover both inside and outside the event horizon. We find that one can reasonably construct a wave packet that covers outside, but the wave function must be annihilated near the event horizon. This observation strongly suggests that we cannot choose a coherent state for a spacelike hypersurface that crosses the event horizon. To explain the unitary time evolution, we must keep the slices as coherent states; hence, they must always be outside the event horizon. In contrast, inside the horizon, we cannot have a single coherent state of a classical spacetime. Hence, the interior must be a superposition of several coherent states, which implies that there exists a horizon-scale uncertainty and a black hole should be viewed as a highly quantum macroscopic object. We provide a synthetic approach to understanding the information loss paradox from this perspective.

Keywords

Cite

@article{arxiv.2510.20799,
  title  = {Quantum black holes: inside and outside},
  author = {Wei-Chen Lin and Dong-han Yeom and Dejan Stojkovic},
  journal= {arXiv preprint arXiv:2510.20799},
  year   = {2025}
}

Comments

27 pages, 11 figures

R2 v1 2026-07-01T07:02:38.438Z