The Yang-Mills Working Group, led by Nobel laureate David J. Gross, plans to publish OpenAI’s Lean code and a validation assessment in two GitHub repositories on November 10, 2026. The 1,147-page formalization concerns the existence of quantum Yang-Mills theory, a Clay Millennium Prize problem connected to quantum chromodynamics. The work builds on foundations including Wilson lattice regularization and Balaban’s renormalization-group methods. However, the proof does not resolve the mass gap or confinement questions, which remain the other major challenges associated with the Millennium Prize problem.
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