K-209
Codimension and modulation theory for extremal endstates
open Extremal / Near-Extremal
Statement
Build a nonlinear stable-manifold/modulation framework showing precisely which perturbations converge to extremal versus subextremal Kerr endstates.
Mathematical prerequisites
Invariant manifold theory in PDE; modulation equations; degenerate parameter dynamics; constraint control.
Why it matters
The phrase 'codimension-1 extremal stability' needs a concrete theorem-level dynamical meaning.
Completion criteria
A complete answer must define the stable manifold, prove transversality, and describe the flow off the manifold.
Implications if solved
Would turn the current conjectural picture of extremal dynamics into a structured phase portrait.
Last updated: 2026-04-05 ·
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