OpenAI Claims Breakthroughs in Math, Physics, and Computer Science, but Researchers Criticize Restricted Access
OpenAI says its October 2026 results address the Kakeya conjecture, the exponential time hypothesis, and quantum chromodynamics. Only the math work is public; researchers criticize restricted access, while the physics finding remains unreleased.
OpenAI announced in October 2026 that it has achieved breakthroughs in mathematics, computer science, and physics — but the way the company is sharing those findings has drawn sharp criticism from researchers who say the lab is gatekeeping potentially major scientific results.
The three results address some of the most significant unsolved problems in their respective fields. The mathematics finding purports to resolve the Kakeya conjecture in all dimensions, a problem related to work for which NYU mathematician Hong Wang was awarded a Fields Medal earlier this year. The computer science result claims to disprove the exponential time hypothesis, a widely held assumption related to the P versus NP problem — one of the seven Millennium Prize problems. The physics result concerns quantum chromodynamics and its relationship to Yang-Mills theory, a cornerstone of modern particle physics.
OpenAI says it worked with outside “shepherds” to determine how to release each result. The mathematics output was made available for researchers to analyze independently; an external group will be assembled to help explain the computer science finding; and the physics result has not been released at all, with OpenAI deferring to an external expert group on timing.
That selective approach has frustrated researchers. “It doesn’t make any sense that first only a few distinguished scientists can look at them,” said Constantin Kogler of the Institute for Advanced Study. Andreas Karch, a physics professor at the University of Texas at Austin, called OpenAI’s handpicking of reviewers “a disaster,” arguing the company should release proofs publicly while still engaging expert groups.
The Advisory Group on Mathematics and Artificial Intelligence (AGMAI), which OpenAI had previously pledged to consult, warned against the practice a day before the announcement and urged the company to release its physics materials “without delay.”
Experts who spoke to The Verge described the results as “huge,” “major breakthroughs,” and “significant,” but some questioned whether the deeper issue goes beyond disclosure. “Fundamental results are being solved so quickly without human contribution,” said Georgia Tech mathematics professor Xiaoyu He, “and the papers are difficult to read and verify.”