Exponential Time Hypothesis

OpenAI discoveries in three fields shown as a three-legged stool with a round seat and joined legs

OpenAI Announces New Discoveries in Mathematics, Computer Science and Physics

On 26 October 2026 OpenAI announced three results from an internal model: local smoothing in every dimension (implying the Kakeya conjecture), a disproof of the Exponential Time Hypothesis, and an existence proof for four-dimensional QCD and Yang–Mills theory. We explain each claim, the three release strategies, the Lean checks, Anthropic’s same-day ETH paper and what it means.

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