K-104

Generic C²- or Lipschitz-inextendibility of near-Kerr MGHDs

open Interior / SCC

Statement

Show that although C^0 extensions can exist, generic near-Kerr vacuum developments admit no extension with enough regularity to preserve a meaningful Einstein evolution across the Cauchy horizon.

Mathematical prerequisites

Curvature lower bounds; regularity comparison; extension theory; blow-up of connection or curvature invariants.

Why it matters

This is the strongest currently plausible version of SCC for Kerr-type interiors.

Completion criteria

A complete answer must specify the regularity class, prove generic blow-up of the corresponding geometric quantity, and rule out every extension in that class.

Implications if solved

Would restore deterministic predictability at the correct mathematical regularity level.

Last updated: 2026-04-05 · Edit on GitHub →