🧮 Video Breakdown of OpenAI's Yang-Mills Proof

The channel How Did They Prove That? analyzed the proof of the existence of 4D Yang-Mills quantum theory: the continuum limit of Wilson lattice theory, formalized by OpenAI in Lean 4. The OpenAI-YM-20261028 source code was published on November 11, 2026—approximately one million lines of Lean across 9,477 files. A committee of five physicists deemed it likely correct; a full human-written paper has not yet been released.

🌍 For the first time, an LLM produced a Lean-formalized proof for a Millennium Prize Problem. The correctness of the steps is guaranteed by the Lean kernel, not the reputation of the authors: Lean code is a machine-verifiable artifact.

👤 The breakdown is in the video, the Lean source code is on GitHub, and the 278-page natural language manuscript is in scottnarmstrong/yang-mills-informalization. This is how AI accelerates fundamental mathematics.

Source 1: https://www.youtube.com/watch?v=s_9sCVqKQjY

Source 2: https://github.com/yang-mills-group/OpenAI-YM-20261028