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PreprintarXiv licencearXiv

Matrix scattering and the black hole interior

Abstract

Complex-time singularities of thermal correlators carry imprints of black hole interiors. We investigate their microscopic origin in matrix quantum mechanics at high temperature, where the dynamics becomes semi-classical. We introduce a complex-time scattering kernel that encodes these singularities and makes their finite-N resolution accessible to numerics. Studying both integrable and chaotic models, we find evidence for a smoothing scale Δt∼ N−1/2, suggesting that the resolution is due to quantum fluctuations of D-branes. This scattering picture provides a starting point for probing the black hole interior beyond a classical geometric description.

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BibTeX
@misc{dodelson2026matrix,
  title = {{Matrix scattering and the black hole interior}},
  author = {Matthew Dodelson and Henry W. Lin and Haitian Xie and Jessica Yeh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31700},
  eprint = {2610.31700},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31700},
}
RIS
TY  - UNPB
TI  - Matrix scattering and the black hole interior
AU  - Matthew Dodelson
AU  - Henry W. Lin
AU  - Haitian Xie
AU  - Jessica Yeh
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.31700
UR  - https://arxiv.org/abs/2610.31700
AB  - Complex-time singularities of thermal correlators carry imprints of black hole interiors. We investigate their microscopic origin in matrix quantum mechanics at high temperature, where the dynamics becomes semi-classical. We introduce a complex-time scattering kernel that encodes these singularities and makes their finite-N resolution accessible to numerics. Studying both integrable and chaotic models, we find evidence for a smoothing scale Δt∼ N^−1/2, suggesting that the resolution is due to quantum fluctuations of D-branes. This scattering picture provides a starting point for probing the black hole interior beyond a classical geometric description.
ER  -