Landmark discovery claim · Mathematics · Physics
OpenAI releases an AI-generated forced Navier–Stokes blowup proof claim
A proposed finite-time singularity for three-dimensional Navier–Stokes with smooth compactly supported forcing and zero initial velocity, addressing Clay alternatives C and D.
Summary
OpenAI released an analytical construction and Lean artifacts for forced three-dimensional Navier–Stokes breakdown. The paper constructs smooth forcing with bounded kinetic energy before velocity becomes unbounded. September 8 is the public release; the lab reports finding the argument September 5 and completing formalization September 6.
AI role
An internal model coordinated proof-search agents; GPT-6 Astra subsequently produced a Lean formalization. Humans selected problems and coordinated the search.
Narrative role
A directly inspectable claim on a Millennium Prize formulation moves AI mathematics beyond benchmark solving. The forced formulation and the state of checking are essential to interpreting its significance.
Caveat
The tracker inspected the theorem and repository instructions but did not rebuild Lean or independently certify correspondence to Clay’s formulation. Community review remains incomplete; this does not establish unforced Navier–Stokes blowup.