OpenAI Says Its Models Proved the Local Smoothing Conjecture in All Dimensions

OpenAI says the result applies to the Euclidean wave equation’s local smoothing problem for every n ≥ 2; if valid, it would also settle the Kakeya and Stein restriction conjectures. The company published a natural-language write-up and a Lean formalization on Oct. 26, presenting the material as raw model output for researchers to examine. OpenAI said the models generated the work Oct. 18 and that it was formalized in Lean the next day. The proof uses what the company described as a new auxiliary partial differential equation.

Source: TokenPost