publication
OpenAI releases research outputs and external-review approach for claimed Kakeya, ETH and quantum-field-theory results
On 26 October 2026 OpenAI publicly described three model-generated research claims in harmonic analysis, complexity theory and quantum field theory. It released AI output and a reported Lean formalization for claimed general-dimensional local smoothing/Kakeya results and material about the Exponential Time Hypothesis, while deferring release of physics artifacts under a different external-collaboration arrangement. OpenAI explicitly described the outputs as raw research data for independent expert interpretation; the disclosure is not external scientific acceptance of each theorem, nor proof that ETH was independently refuted.