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PreprintarXiv licencearXiv

Smoothing the Bouncing-Geodesic Singularity in AdS/CFT

  • Mingxuan Liu
  • Shan-Ming Ruan
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Abstract

Black hole singularities remain a central open problem in quantum gravity. In the AdS/CFT correspondence, bulk spacelike extremal surfaces can probe the black hole interior, and information about the near-singularity geometry is encoded in analytically continued boundary correlators. As the bouncing geodesic approaches the black hole singularity, it becomes nearly null and gives rise to characteristic divergences at complex times. Importantly, these complex-time singularities emerge only in the strict semiclassical limit (GN→ 0 or c→∞) and are governed by the asymptotically linear quasinormal mode (QNM) spectrum. At finite c, nonlinear deformations of the QNM trajectories produce suppression kernel that smooths out the complex-time singularities. Using Liouville CFT as an analytically solvable example, we explicitly demonstrate the finite-c deformation of the QNM spectrum and its associated pole-zero structure. We also identify a complementary Gaussian smoothing mechanism arising from finite-energy fluctuations in the thermal spectral decomposition. These results show how finite GN quantum corrections modify the holographic imprints of the classical black hole singularity.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026smoothing,
  title = {{Smoothing the Bouncing-Geodesic Singularity in AdS/CFT}},
  author = {Mingxuan Liu and Shan-Ming Ruan},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03347},
  eprint = {2611.03347},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03347},
}
RIS
TY  - UNPB
TI  - Smoothing the Bouncing-Geodesic Singularity in AdS/CFT
AU  - Mingxuan Liu
AU  - Shan-Ming Ruan
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03347
UR  - https://arxiv.org/abs/2611.03347
AB  - Black hole singularities remain a central open problem in quantum gravity. In the AdS/CFT correspondence, bulk spacelike extremal surfaces can probe the black hole interior, and information about the near-singularity geometry is encoded in analytically continued boundary correlators. As the bouncing geodesic approaches the black hole singularity, it becomes nearly null and gives rise to characteristic divergences at complex times. Importantly, these complex-time singularities emerge only in the strict semiclassical limit (G_N→ 0 or c→∞) and are governed by the asymptotically linear quasinormal mode (QNM) spectrum. At finite c, nonlinear deformations of the QNM trajectories produce suppression kernel that smooths out the complex-time singularities. Using Liouville CFT as an analytically solvable example, we explicitly demonstrate the finite-c deformation of the QNM spectrum and its associated pole-zero structure. We also identify a complementary Gaussian smoothing mechanism arising from finite-energy fluctuations in the thermal spectral decomposition. These results show how finite G_N quantum corrections modify the holographic imprints of the classical black hole singularity.
ER  -