gdb hails OpenAI's fluid singularity paper: unbelievable technically but humanly understandable
gdb · x · 2026-10-26
OpenAI cofounder Greg Brockman quotes a math discussion of the company's fluid-dynamics paper: "On a technical level, the paper is unbelievable, maybe beyond what a human could have come up with but not beyond human understanding." In the quoted thread, Scott Armstrong places the construction in the convex-integration tradition—where oscillations are usually built by hand and iterations yield wild weak solutions. He contrasts Albritton–Brué–Colombo's unstable-vortex solution splitting and the Córdoba–Martínez–Zoroa singularities that amplify vorticity across scales, noting the OpenAI paper instead engineers a fluid instability so the flow itself generates oscillations by drawing energy from the background shear, with Reynolds stress becoming the driving force.
Related event: OpenAI's Fluid Singularity Paper Sparks Math Community Debate(2 posts)→
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