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PreprintarXiv licencearXiv

The endless journey towards the horizon of a quantum black hole

Abstract

It is a problem of great importance in quantum gravity whether quantum effects lead to nontrivial structure near black hole horizons, and if their interiors are emergent features of a large N limit. We show that the strongly chaotic nature of black holes, captured by random matrix statistics of their spectrum, makes it so that a suitably gravitationally dressed infalling observer takes an infinite amount of proper time to reach the horizon. This makes the black hole interior operationally inaccessible to any outside observer, marking a sharp breakdown of the large N causal structure of black holes in quantum gravity. To model the experience of an infalling observer, we study the response of an infalling particle detector coupled to a matter field in a 2d quantum black hole background, finding a peak in the detector's excitation probability as it enters an infinitely long non-perturbative journey close to the black hole horizon.

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BibTeX
@misc{franken2026endless,
  title = {{The endless journey towards the horizon of a quantum black hole}},
  author = {Victor Franken and Thomas G. Mertens and Bruno de S. L. Torres},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05164},
  eprint = {2609.05164},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05164},
}
RIS
TY  - UNPB
TI  - The endless journey towards the horizon of a quantum black hole
AU  - Victor Franken
AU  - Thomas G. Mertens
AU  - Bruno de S. L. Torres
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05164
UR  - https://arxiv.org/abs/2609.05164
AB  - It is a problem of great importance in quantum gravity whether quantum effects lead to nontrivial structure near black hole horizons, and if their interiors are emergent features of a large N limit. We show that the strongly chaotic nature of black holes, captured by random matrix statistics of their spectrum, makes it so that a suitably gravitationally dressed infalling observer takes an infinite amount of proper time to reach the horizon. This makes the black hole interior operationally inaccessible to any outside observer, marking a sharp breakdown of the large N causal structure of black holes in quantum gravity. To model the experience of an infalling observer, we study the response of an infalling particle detector coupled to a matter field in a 2d quantum black hole background, finding a peak in the detector's excitation probability as it enters an infinitely long non-perturbative journey close to the black hole horizon.
ER  -