Channel-Resolved High-Overtone Quasinormal Modes Decode Kasner Scaling inside Black Holes
Abstract
The high-overtone quasinormal-mode spectrum encodes the near-singularity Kasner scaling of black-hole interiors. We show that distinct structures in this spectrum independently determine the temporal and spatial Kasner grades, allowing the corresponding metric exponents to be reconstructed without imposing Kasner constraints or invoking holography. We demonstrate this independent reconstruction at the fixed Kasner point of five-dimensional asymptotically flat Schwarzschild and planar Schwarzschild--AdS5, and then extend it to a continuously varying Gibbons--Maeda black-hole family. The reconstructed exponents satisfy the Kasner relation a posteriori, providing a nontrivial geometric consistency check. More generally, the high-overtone spectrum separates into global spectral data and local algebraic corrections whose fractional powers are fixed by the near-singularity Kasner geometry. These fractional corrections therefore provide a direct spectral probe of the local geometry behind the horizon.
Related
- Systematic High Overtone Expansion of Kerr Quasinormal Modes
- Metric and dilaton information from high-overtone quasinormal modes of analytic Einstein-Maxwell-dilaton black holes
- Quasinormal modes and continuum response of de Sitter black holes via complex scaling method
- Finite-temperature Quantum Quasinormal Mode Theory for Spatiotemporally-resolved Dissipative Cavity Quantum Magnonics
- Complex chromoelectric polarizability of a heavy-quarkonium resonance: pole response and channel-resolved effective-theory representation
BibTeX
@misc{xiao2026channelresolved,
title = {{Channel-Resolved High-Overtone Quasinormal Modes Decode Kasner Scaling inside Black Holes}},
author = {Zi-Qing Xiao and Jun Nian and Li Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17426},
eprint = {2609.17426},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17426},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Channel-Resolved High-Overtone Quasinormal Modes Decode Kasner Scaling inside Black Holes
AU - Zi-Qing Xiao
AU - Jun Nian
AU - Li Li
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17426
UR - https://arxiv.org/abs/2609.17426
AB - The high-overtone quasinormal-mode spectrum encodes the near-singularity Kasner scaling of black-hole interiors. We show that distinct structures in this spectrum independently determine the temporal and spatial Kasner grades, allowing the corresponding metric exponents to be reconstructed without imposing Kasner constraints or invoking holography. We demonstrate this independent reconstruction at the fixed Kasner point of five-dimensional asymptotically flat Schwarzschild and planar Schwarzschild--AdS_5, and then extend it to a continuously varying Gibbons--Maeda black-hole family. The reconstructed exponents satisfy the Kasner relation a posteriori, providing a nontrivial geometric consistency check. More generally, the high-overtone spectrum separates into global spectral data and local algebraic corrections whose fractional powers are fixed by the near-singularity Kasner geometry. These fractional corrections therefore provide a direct spectral probe of the local geometry behind the horizon.
ER -