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OpenAI Says It Has Cracked One of Math's ‘Millennium Problems'
OpenAI claims its latest AI model has solved a 'Millennium Problem' related to the Navier–Stokes equations in 88 hours.
What: The proof reportedly identifies conditions where Navier–Stokes equations, which describe fluid dynamics, break down, potentially challenging established understandings of physical laws.
Why it matters: If confirmed, this represents the first time a general-purpose AI has solved a major, long-standing mathematical challenge that has eluded human mathematicians for decades.
Decoder
- Navier–Stokes existence and smoothness problem: A famous mathematical challenge regarding the behavior of the equations that govern the movement of fluids, specifically whether smooth solutions always exist in three dimensions.
Original article
OpenAI says its newest AI technology has solved one of the Millennium Problems. The Millennium Problems are the most heavily researched in the field of mathematics. OpenAI's model solved the Navier–Stokes existence and smoothness problem in just 88 hours. The company's proof claims to have defined a situation in which the Navier-Stokes equations completely break down. This implies that the laws of physics could theoretically break down under certain conditions.
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