Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 264-01. Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime
Manuscript map · lines 7715–7724
OpenAI@2026-10-07#rem:oai-p-264-01
Authors: OpenAI. Family 264.
Title: Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime.
Abstract: For each fixed rotating subextremal Kerr background with mass M > 0 and rotation $0{}lt |{}mathfrak a|{}lt M$, we prove that the smooth vacuum data near its complete two-ended bridge whose full maximal globally hyperbolic development admits a future $C{}0{}cap W{}{1,2}_{{}mathrm{loc}}$ extension form a meagre set in the weighted smooth topology. The extension metric is continuous and nondegenerate, and its weak connection is locally square-integrable. The neighborhood requires smallness of only the tenth weighted seminorm, while the topology tests every finite order.
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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