PDE

OpenAI has released a claimed construction of finite-time blow-up for the forced 3D Navier–Stokes equations. Reading it against my earlier first-principles analysis, much of the physical structure fits — coherent alignment, anisotropic collapse, viscosity managed rather than defeated — and the differences are even more instructive.

I asked the current frontier models to attack the 3D Navier–Stokes regularity problem from first principles. They did not solve it — but they came back with an exact spectral-centre identity, a strict Lyapunov functional, and a much sharper description of what a hypothetical blow-up would have to accomplish.