On October 26, OpenAI announced a claimed "bare existence" proof in Balaban's RG programme on pure R^4—but notably stopped right before claiming the mass gap Δ > 0. It turns out there is a rigorous mathematical reason why no compute cluster can bridge that gap on flat infinite space. I wrote a ...

Source: [Hacker News](https://zenodo.org/records/23918639/files/RoundSquare.lean?download=1)

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