K-405
Inverse scattering for Kerr parameters
open Spectral / Scattering
Statement
Determine whether scattering data for a natural field equation uniquely and stably determine the Kerr mass and spin.
Mathematical prerequisites
Inverse scattering; geometric optics; spectral invariants; uniqueness and stability estimates for parameter recovery.
Why it matters
The forward scattering map on Kerr is rich enough that one expects inverse geometric information to be hidden in it.
Completion criteria
A complete answer must specify the data set, prove uniqueness of (M,a), and give quantitative stability estimates.
Implications if solved
Would turn black-hole scattering into a geometric inverse problem with direct interpretive value.
Last updated: 2026-04-05 ·
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