Not evaluated
Spacetime Penrose inequalities and rigidity (family 260)
The gist
In its release of October 6, 2026, OpenAI announces 13 manuscripts on spacetime Penrose inequalities, including with charge, and on their rigidity.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-260-spacetime-penrose-inequalities-rigidity-r1
@misc{discoveria-oai-fam-260-spacetime-penrose-inequalities-rigidity-r1,
author = {{DiscoverIA}},
title = {Spacetime Penrose inequalities and rigidity (family 260)},
howpublished = {DiscoverIA registry, entry oai-fam-260-spacetime-penrose-inequalities-rigidity},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-260-spacetime-penrose-inequalities-rigidity#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
A Penrose inequality bounds the total mass of a spacetime from below by a quantity set by the area of a surface, for example the horizon of a black hole. The manuscripts concern this inequality with charge, with rigidity results. They treat notably the Kerr–Newman inequality for axisymmetric electrovacuum exteriors and an anti-de Sitter setting. If their results held, the inequality would be obtained in these cases.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) was supplied by OpenAI itself, and its tracking file marks it as unchecked. No third-party verification is recorded, and only one Lean statement is supplied for 13 manuscripts.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 260.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · …with-charge-and-original…link only, reading not recorded
- Repositorygithub.com · A-Charged-Reduction-of…link only, reading not recorded
- Repositorygithub.com · Spacetime-Penrose…link only, reading not recorded
- Repositorygithub.com · The-Kerr-Newman-Penrose…link only, reading not recorded
- Repositorygithub.com · Electromagnetic-tails-and…link only, reading not recorded
- Repositorygithub.com · The-nonmaximal-anti-de…link only, reading not recorded
- Repositorygithub.com · The-Penrose-inequality…link only, reading not recorded
- Repositorygithub.com · A-local-Penrose…link only, reading not recorded
- Repositorygithub.com · …and-enclosing-area…link only, reading not recorded
- Repositorygithub.com · Conformal-flow-and-the…link only, reading not recorded
- Repositorygithub.com · Equality-and-rigidity-in…link only, reading not recorded
- Repositorygithub.com · Boundary-graph…link only, reading not recorded
- Repositorygithub.com · Area-controlled-end…link only, reading not recorded
- Lean proofgithub.com · 260.mdpage read word for word
- Lean proofgithub.com · CKSBondiPenrose.leanlink only, reading not recorded
Method
The openai/math repository contains 13 manuscripts, dated September 27 and October 5, 2026, including “The Kerr–Newman Penrose Inequality for Axisymmetric Electrovacuum Exteriors”. It also contains “The nonmaximal anti-de Sitter Penrose Inequality and original-data rigidity”; lean/docs/260.md describes the Lean formalisation (lean/ComparatorChallenges/CKSBondiPenrose.lean). In formalization.yaml, the family is not listed among the sources; history.md reports no revision. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “describes the scope of the Lean formalization”).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Mathematical physics)
- In openai/math
- family 260, section “Mathematical physics”, 13 manuscripts dated Sep 27, 2026
- Lean proof
- supplied by the claimant, marked “unchecked” (not reviewed) in its repository
- Revisions
- none reported by the claimant
- Checked by
- claimant (Lean supplied, not checked by a third party)
- Sources
- 16 : 1 read word for word, 15 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with a Lean proof supplied by the claimant. No third-party check read; the source marks this proof as not reviewed (“unchecked”).
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 254 of 372, by family number
- Not evaluated : A hyperbolic group with no geometric CAT(0) action (family 257)
- Not evaluated : Gersten's conjecture for one-relator groups (family 258)
- Not evaluated : A group without fixed price (family 259)
- Not evaluated : Spacetime Penrose inequalities and rigidity (family 260)
- Not evaluated : Localization and delocalization in the Anderson model (family 261)
- Not evaluated : Sharp one-dimensional Lieb–Thirring inequalities (family 262)
- Not evaluated : The ionization and generalized ionization conjectures (family 263)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.