OpenAI reports generic weak future inextendibility near rotating Kerr

For each fixed subextremal rotating Kerr bridge (M > 0 and 0 < |a| < M), smooth vacuum data in a sufficiently small weighted tenth-order neighborhood whose full maximal globally hyperbolic development admits a future continuous, nondegenerate Lorentzian extension with locally square-integrable weak connection form a meagre set. Hence inextendible data are residual in the weighted smooth topology.

Sources for this record

What was already known

Earlier near-Kerr companion articles exclude future C² and C¹ extensions on their respective neighborhoods. Dafermos–Luk proved continuous extendibility across part of a Kerr Cauchy horizon under controlled interior data; Gurriaran and Luk–Sbierski excluded locally Lipschitz extensions through covered portions under further assumptions. Cameron–Sbierski obtained C⁰ ∩ W¹,s obstruction in strong spherical symmetry with a boundary-equivalence condition (manuscript Section 1.2, pp. 3–4).

AI involvement AI-led

OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.

OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.

Importance Major

Gives a generic near-Kerr strong cosmic censorship result at the square-integrable-connection threshold for the entire future development.

Limitations

The result is local to a neighborhood of each fixed rotating, subextremal Kerr bridge and uses the manuscript’s specific future-exit definition. It does not cover a = 0, extremal Kerr, generic data far from Kerr, or continuous extensions without W¹,² regularity.

Technical verification Reported

Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.

Human understanding Few

Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.

Correction and publication history

2026-10-18 · publication

Primary manuscript, attribution, and prior-work review for non-notifying local inclusion.

Read this published revision