Not evaluated
Kinetic limits and fluctuations over the Boltzmann lifespan (family 364)
The gist
In its release of October 6, 2026, OpenAI presents, using an unreleased internal model, two manuscripts: one on a Boltzmann–Grad limit, the other on hard-sphere fluctuations.
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-364-kinetic-limits-fluctuations-boltzmann-r1
@misc{discoveria-oai-fam-364-kinetic-limits-fluctuations-boltzmann-r1,
author = {{DiscoverIA}},
title = {Kinetic limits and fluctuations over the Boltzmann lifespan (family 364)},
howpublished = {DiscoverIA registry, entry oai-fam-364-kinetic-limits-fluctuations-boltzmann},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-364-kinetic-limits-fluctuations-boltzmann#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
The two manuscripts belong to partial differential equations. Fluctuations are deviations around an average behaviour. The sources read do not give the statements, so the scope of the results, if they held, cannot be specified.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family (no lean/docs/364.md), and no third-party evaluation is recorded.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · README.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 · The-Boltzmann-Grad-limit…link only, reading not recorded
- Repositorygithub.com · Hard-sphere-fluctuations…link only, reading not recorded
Method
A family of two manuscripts dated September 23, 2026 and filed under “Partial differential equations” in overview.tex. The first is titled “The Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals”. The second is titled “Hard-sphere fluctuations on the regular Boltzmann lifespan”. The file history.md reports no revision of these manuscripts. 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: “Not all have accompanying Lean formalizations.”).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Partial differential equations)
- In openai/math
- family 364, section “Partial differential equations”, 2 manuscripts dated Sep 23, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 3 : 3 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with no Lean proof supplied. No third-party evaluation read.
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 357 of 372, by family number
- Not evaluated : Villani’s convexity conjecture and regular optimal transport (family 360)
- Not evaluated : Global smoothness for relativistic Vlasov–Maxwell (family 362)
- Not evaluated : Boltzmann nonuniqueness with exact local conservation (family 363)
- Not evaluated : Kinetic limits and fluctuations over the Boltzmann lifespan (family 364)
- Not evaluated : Joint metric and connection recovery from one boundary patch (family 365)
- Not evaluated : The planar Mumford–Shah regularity conjecture (family 366)
- Not evaluated : The critical dimension for the one-phase Bernoulli problem (family 367)
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