Controversy over OpenAI's claimed Navier-Stokes breakthrough

Summary

The controversy over OpenAI's maths miracle ‘Historic’ mathematical breakthrough by the tech company has been overshadowed by data privacy concerns of human researchers This year has been one of “unthinkable” progress for maths, said The Wall Street Journal. But OpenAI’s proof of the Navier-Stokes problem – one of the seven esteemed Millennium Prize Problems accepted as maths’ “deepest and most difficult unresolved questions” – “represents the most significant advance yet”. The tech company took around three days to find a solution with an internal model that is “significantly more capable” than its most advanced commercial model, said New Scientist. It first used 1,000 AI agents to crack a similar problem, then around 10,000 to complete the task. If a customer wanted to run the same problem, it would cost them “around $15 million” (£11 million). However, there has been a “dispute” about how the solution was reached. Two human researchers had announced they had “cracked three significant problems” linked to the Navier-Stokes problem, also using OpenAI and Anthropic large language models, which has raised questions over the privacy and integrity of the data integral to the breakthrough. The Week Escape your echo chamber. Get the facts behind the news, plus analysis from multiple perspectives. Sign up for The Week's Free Newsletters Join more than 350,000 subscribers and keep yourself informed with a selection of The Week’s most interesting, enlightening and entertaining stories - plus daily puzzles. ‘Potentially historic breakthrough’ The “Navier-Stokes existence and smoothness problem” essentially looks at equations which describe the movement of liquids and gases, said The New York Times. These equations are used to predict the weather and “model the behaviour of ocean currents or the climate as a whole”. The problem challenges whether, theoretically, the “laws of physics would break down under certain extreme conditions”, such that water, for instance, could “spontaneously explode”. This “potentially historic breakthrough” has been “shadowed by questions over unpublished research by outside mathematicians”, said Axios. New York University mathematician Tristan Buckmaster and Anthropic researcher Levent Alpöge had been using large language models, including OpenAI’s Codex, where information was stored privately. Just hours before OpenAI’s announcement, the…