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OpenAI has announced a mathematically rigorous existence proof of certain interacting quantum field theories containing gauge fields and fermions in four dimensions, including Quantum Chromodynamics (QCD) and a unified completion of the Standard Model of particle physics… Our models produced a natural language proof for Yang–Mills existence on September 9th, 2026, and then subsequently produced a proof for QCD on September 18th, 2026. Given the length and complexity of the work, we postponed release until the Lean formalization completed. We finished our formalization of Yang–Mills’ existence on October 16th, 2026. From this press release, it’s hard to know exactly what they’re claiming to have proved. One could try and guess what “unified completion of the Standard Model” is being referred to, but they aren’t telling us. They’re also not telling us exactly what “existence” of Yang-Mills means. Since they don’t refer to the mass gap/Millenium prize problem, maybe this is just about…

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