OpenAI claims proof of quantum chromodynamics using internal model
OpenAI announced on October 27 it has solved the Yang-Mills problem, a decades-old challenge in quantum field theory, using an internal large language model. The result validates the mathematical consistency of quantum chromodynamics, the framework underpinning the Standard Model of particle physics. The company did not release the proof but handed it to experts for verification, sparking…
Key points
- OpenAI claims an internal LLM solved the **Yang-Mills problem**, validating quantum chromodynamics on October 27
- Anthropic’s **Levent Alpöge** and Northwestern’s **Ethan Sussman** had publicly shared progress since October 6, updating their GitHub on October 26
- OpenAI’s verification process took over a month, contrasting with the **17-hour** Lean check for its **Navier-Stokes** proof
Alpöge and Sussman had updated their GitHub repository on October 26, claiming near-completion of the three-dimensional existence proof, though they acknowledged the Clay Mathematical Institute’s criteria require a four-dimensional solution. OpenAI’s blog post dated October 27 stated its model arrived at the result on September 9, but verification in Lean took over a month—far longer than the 17 hours reported for its earlier Navier-Stokes proof. Critics, including Tristan Buckmaster of New York University, question the timeline, citing transparency concerns in AI-driven mathematical breakthroughs.
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10 episodes →- OpenAI claims proof of quantum chromodynamics using internal modelthis story
OpenAI just scooped human researchers on a million-dollar quantum math problem
scientificamerican.com · 27 October 2026
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