K-204
Uniform estimates in the surface-gravity limit κ→0
open Extremal / Near-Extremal
Statement
Develop estimates for wave and gravitational fields that remain meaningful as the subextremal surface gravity tends to zero.
Mathematical prerequisites
Uniform microlocal analysis; two-scale near-horizon asymptotics; replacement for standard redshift positivity.
Why it matters
Every near-extremal problem ultimately runs into constants that blow up as κ→0.
Completion criteria
A complete answer must state explicit κ-dependence in the coercive and decay estimates and identify the limiting operator or geometry.
Implications if solved
Would unify subextremal and extremal analysis instead of treating them as disconnected cases.
Last updated: 2026-04-05 ·
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