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OpenAI claims AI model solved Navier-Stokes Millennium Prize problem
OpenAI has announced that an unreleased artificial intelligence model has solved the Navier-Stokes equations, one of the seven Millennium Prize Problems. The Clay Mathematics Institute offers a $1 million reward for a solution to this problem, which concerns the mathematical description of fluid and gas flow in space and time.
However, the claim has met with scrutiny. Experts note that the AI may have only addressed two of the four sub-cases of the problem. Specifically, the system demonstrated that initial conditions could lead to singularities under the influence of a specially adapted external force, but the fundamental problem—where no external force acts on the fluid—remains unsolved.
There are also concerns regarding the integrity of the data used, with suspicions that the system of 10,000 AI agents may have had access to unpublished research from mathematicians Tristan Buckmaster of NYU and Levent Alpöge of Anthropic. The announcement has sparked broader debate regarding the scaling of AI and whether increasing computational power and training sets truly equates to a fundamental understanding of intelligence.
Entities
Anthropic · Clay Mathematics Institute · Navier-Stokes equations · OpenAI · Sam Altman