Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 264-02. Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes

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OpenAI@2026-10-07#rem:oai-p-264-02

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Authors: OpenAI. Family 264.

Title: Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes.

Abstract: For each fixed Kerr spacetime with mass M > 0 and rotation $0{}lt {}mathfrak a{}lt M$, we prove that a dense Gδ set of nearby smooth, complete two-ended vacuum data has a maximal globally hyperbolic development with no future C1 extension. The neighborhood and genericity are defined in a weighted smooth topology, and ambient extensions may be nonvacuum.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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