Ergodic Hysteresis of the Kerr black hole spectrum
arXiv:2511.16640 · doi:10.1103/mssm-ws7d
Abstract
We uncover a cascade of exceptional points (EPs) in the quasinormal mode spectrum of massive scalar perturbations of Kerr black holes, revealing an intricate non-Hermitian structure underlying their linear response. The cascade originates from a single damped mode that enters the extremal spectrum for sufficiently large field masses. We obtain evidence for an infinite sequence of EPs in the and sectors near the extremal limit, mediating the transition between damped and zero-damping modes. Each EP carries a geometric phase that enables adiabatic mode mixing across the entire overtone spectrum, a phenomenon we refer to as adiabatic ergodicity.
arXiv commentv3: 10 pages, 5 figures, 3 tables. Revised to match published version; results unchanged
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