1 source 2m ago
OpenAI Reports Results In Harmonic Analysis, Complexity Theory, And Quantum Field Theory
OpenAI announced on October 26, 2026 that its models produced results in harmonic analysis, computational complexity theory, and quantum field theory. The mathematics result concerns the local smoothing conjecture tied to the Kakeya set problem.
Reporting from 1 source: GIGAZINE.
Why it matters
OpenAI is treating the outputs as raw research data and handing verification to unpaid outside groups, which puts the burden of proof on independent researchers rather than on the lab that generated the results.
Key Facts
- OpenAI announced the results on October 26, 2026.
- The mathematics result concerns the local smoothing conjecture proposed by Christopher Sogge in 1991.
- The computer science group published a natural-language proof and a Lean formalization in OpenAI's GitHub repository.
- The physics group decided not to publish the AI-generated deliverables and will compile a paper itself.
- OpenAI says it will not seek academic credit for discoveries produced by its in-house models.
The computer science group published a natural-language proof and a Lean formalization in OpenAI's GitHub repository, while the physics group will write its own paper.
OpenAI says it does not yet know which of its three publication routes works best, and it plans to ask the public for feedback on what to keep and what to change. The mathematics output is being released so researchers can work through it freely. The computer science group published a natural-language proof and a Lean formalization directly in OpenAI's GitHub repository. The physics group declined to publish the AI-generated deliverables and will compile a paper of its own instead.
Participants in the outside groups are unpaid and join voluntarily. OpenAI says it will not claim academic credit for discoveries made by its in-house models, and that coordinating a group does not make its members the originators of the result.
Written with AI by Yomimono from the 1 cited source below, including Japanese-language reporting where cited. See our editorial policy.
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