OpenAI Claims Breakthroughs in Physics, Math, and Computer Science

OpenAI announced three major scientific discoveries on October 26, 2026, spanning the fields of physics, mathematics, and computer science. In computer science, the company claims to have refuted the Exponential Time Hypothesis using a deterministic algorithm that counts satisfying assignments of fixed-width CNF formulas in subexponential time. In mathematics, the company claims its models proved the local smoothing conjecture in every spatial dimension, resolving the Kakeya and Stein’s restriction conjectures.

In physics, the company claims a mathematically rigorous existence proof for certain interacting quantum field theories, including Quantum Chromodynamics and a unified completion of the Standard Model. While the computer science and math results were released via GitHub and Lean formalizations, the physics materials remain withheld as a group led by David Gross develops an interpretation of the findings.

To mitigate previous criticism regarding the bypass of peer review, the company employed external academic shepherds to oversee the releases. However, an AGMAI panel of math advisers cautioned against the practice of granting specific individuals early access to results, citing concerns over biased selection and unequal access to scientific data.