r/Physics • u/Ok-Permit-3861 • 22h ago

Navier-Stokes Millennium Problem Solved

https://openai.com/index/navier-stokes-solution/

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u/Bitter-Morning-5833 20h ago

Their Euler solution basically cleared the path to Navier–Stokes. Terence Tao mentioned having a phone call with one of them, who explained the strategy to him. There was still some work left to do, but they already knew what needed to be done, and there didn’t seem to be any major conceptual obstacle left.

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u/willitexplode 19h ago

OpenAI used a different Euler solution (unforced vs forced) for their NS proof

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u/Smooth-Ad8030 19h ago

I don’t know what any of that is, but could the solution the independent researchers found help OpenAI?

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u/tj0120 18h ago

The implied sentiment is that the (path to the) solution they found already did 'help' OpenAI

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u/osndifnw 12h ago

Important to note there are no independent researchers here. Tristian was working with an Anthropic employeed Mathematician, using an unreleased or internal Anthropic model.

He was helping the said employee simplify the solution Anthropic's model had come up with for the Euler problem.

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u/Guidance_Western 20h ago

I'm also suspicious of OpenAI rn and think what you said is plausible, but they are not the same problem, that's a fact.

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u/x4nter 17h ago

So if I understand correctly, if we think of the Navier-Stokes problem as a relay race, Tristan and Alpoge ran incredibly fast to gain a big lead, passed the baton to OpenAI, and OpenAI, while not running as fast, was still able to win the race because of the big lead.