👀 OpenAI Claims Solution to One of Seven Millennium Prize Problems 🔹 OpenAI has announced the resolution of the Navier–Stokes existence and smoothness problem, one of the seven Millennium Prize Problems established by the Clay Mathematics Institute. 🔹 The company claims its internal system created an analytical proof showing that an initially smooth, resting flow of incompressible fluid can develop a singularity in finite time. The result was also formalized in the Lean theorem prover language. 🔹 The Navier–Stokes equations describe the motion of fluids and gases as a continuous medium. They are widely used for aircraft design, weather forecasting, and blood flow modeling. 🔹 According to OpenAI, its AI system proved this exact breakdown scenario. The proposed solution forms a vortex that spirals inward and elongates, causing the central region to compress and accelerate while the system's total energy remains finite.