PreprintCC BY 4.0arXiv
Identifying Exceptional Points in Black Hole Ringdowns
Abstract
Ringdown spectroscopy probes black hole (BH) dynamics, and exceptional points (EPs) can reveal underlying degrees of freedom. We develop a procedure to identify EPs in ringdowns using a time-weighted Jordan term and a splitting bound. For relative Jordan excitation proportional to separation, we derive a sixth-order squared distance between split and EP waveforms after fitting the resonance center. Independent constraints on these quantities can restore fourth order. Complete waveforms show that omitting ordinary responses can strengthen EP evidence and spuriously tighten splitting bounds.
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BibTeX
@misc{zhang2026identifying,
title = {{Identifying Exceptional Points in Black Hole Ringdowns}},
author = {Zhen-Xiao Zhang and Chen Lan and Yi Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01416},
eprint = {2610.01416},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01416},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Identifying Exceptional Points in Black Hole Ringdowns
AU - Zhen-Xiao Zhang
AU - Chen Lan
AU - Yi Wang
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01416
UR - https://arxiv.org/abs/2610.01416
AB - Ringdown spectroscopy probes black hole (BH) dynamics, and exceptional points (EPs) can reveal underlying degrees of freedom. We develop a procedure to identify EPs in ringdowns using a time-weighted Jordan term and a splitting bound. For relative Jordan excitation proportional to separation, we derive a sixth-order squared distance between split and EP waveforms after fitting the resonance center. Independent constraints on these quantities can restore fourth order. Complete waveforms show that omitting ordinary responses can strengthen EP evidence and spuriously tighten splitting bounds.
ER -