K-407
QNM excitation factors and universality theorems
open Spectral / Scattering
Statement
Prove rigorous bounds and genericity results for how strongly specific Kerr quasinormal modes are excited by broad classes of initial data.
Mathematical prerequisites
Green-function residues; asymptotics of radial and angular mode solutions; contour methods; genericity in data spaces.
Why it matters
Even if modes exist, one still needs to know which ones are actually visible for generic perturbations.
Completion criteria
A complete answer must bound excitation coefficients in terms of initial-data norms and prove generic nonzero excitation for specified mode families.
Implications if solved
Would make the interpretive link between mathematical modes and observed ringdown structure much sharper.
Last updated: 2026-04-05 ·
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