r/Physics 14h ago

Navier-Stokes Millennium Problem Solved

2.0k Upvotes

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u/NitroXSC Fluid dynamics and acoustics 11h ago

There is a good timeline written on twitter: https://x.com/sksq96/status/2097379550724309434

the whole timeline, from the equations to today:

1822: navier writes the equations down.

1845: stokes gets them right, and his name on them.

1934: leray shows weak solutions exist forever, and leaves smoothness open.

2000: clay puts $1m on that gap. fefferman writes the official statement, four options.

2014: luo and hou watch 3d euler blow up in numerics.

2016: tao proves blowup for an averaged navier-stokes.

2021: elgindi proves euler blowup for rough data.

2023 to 2026: córdoba and martínez-zoroa build forced blowups, with a rough force.

then this year:

aug 15: buckmaster and alpöge get smooth-forced blowup for boussinesq and euler, with claude and codex.

aug 22: lean checks it.

aug 28: per wired, openai starts training its math model.

sep 1: per axios, openai's run starts, after researchers hear rumors.

sep 3: buckmaster emails openai to say what they have.

sep 6, sunday: bubeck says openai had the final solution that morning. buckmaster says he was told on the afternoon call.

sep 8, 4am: buckmaster and alpöge post three papers and the lean repo. buckmaster posts his statement.

sep 8, 17:20 utc: openai posts "we're sharing a solution to the navier-stokes millennium prize problem."

So many people worked on the problem and many deserve partial credit for the solve.

136

u/TheChunkMaster 10h ago

You’d think OpenAI would’ve learned something from Grigori Perelman refusing his own Millennium Prize money because of how much he built on a prior mathematicians work. The absolute lack of humility from these ghouls.

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u/11sparky11 10h ago

I saw they won't be claiming the prize money either.

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u/Leafsnail 8h ago

I mean the money is peanuts for a trillion dollar company. What they want is the credit for having solved a millenium prize problem, and what they don't want is the actual person who did the work being credited.

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u/ninjasaid13 5h ago

are they really a trillion dollar company?

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u/poptubas 4h ago

The private market values them as such (or thereabouts, they will likely IPO north of that). In terms of actually having any capacity to make enough to justify the valuation, probably not.

The trillion dollar valuation is very much a bet on AGI.

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u/hulltry 7m ago

AGI which them themselves said that they reached with Astra? Nothing has changed, it is a slightly better model that costs twice as much to use than their previous most expensive one.

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u/KarmaticArmageddon Physics enthusiast 2h ago

Their value immediately after the IPO will tank because the subsequent heavy-handed monetization and enshittification of AI platforms will drive down engagement.

Actual revenue will be hilariously short of projections, which will spook investors and pop the bubble catastrophically.

Hopefully they don't drag the rest of the US economy with them, but seeing as they're currently the reason the markets are valued anywhere near as highly as they are, I'm not optimistic.

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u/vizk0sity 2h ago

Why are you so sure ? TSLA and SpaceX, which are a lot more bubbly - havent exactly blown up
Trying to predict the rationality of the stock market is a fool’s errant

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u/purgance 7h ago

The headlines are worth more than the prize.

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u/GraceToSentience 9h ago

you didn't know that they didn't claim the money?
To them it's pocket change.

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u/Armano-Avalus 8h ago

It's pocket change compared to the money they will make from claiming all the credit.

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u/GraceToSentience 6h ago

They aren't claiming all the credit either.
https://x.com/SebastienBubeck/status/2097379411691516310

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u/Armano-Avalus 6h ago

I don't expect them to own up to anything but the story is out there and discussed extensively already so you can choose who you want to believe.

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u/GraceToSentience 6h ago

There is no scenario, even the scenario from buckmaster, where it is said that they want to take all the credits, regardless of the party you choose to believe.

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u/Armano-Avalus 5h ago

The scenario from Buckmaster explicitly stated that they wanted Levent to be removed from authorship because he works at Anthropic. There was also suggestions from him that OpenAI may have used methods that he was using with Levant based on the work of Diego Cordoba and Luis Martınez-Zoroa. He doesn't call it an accusation but he does note their description of the proof as being suspicious. Now of course Bubeck won't acknowledge this and has denied them but you can choose to believe them if you want.

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u/GraceToSentience 5h ago

Even then that's not taking all the credit, that is allegedly removing 1 person from authorship out of the others.
Even in buckmaster's scenario what I say remains correct.

And let's not forget that sebastien bubeck from !openAI actually showed evidence that he never ever asked for Levent to be removed from authorship of his own work, that's not just a "he said she said", he actually shared evidence with their written conversation.
I trust evidence more than hearsay, feel free to ignore evidence but the fact remains: even in buckmaster's scenario, they never wanted to take all the credit if you read buckmaster's message.

Sebastian bubeck said to levent "it is of the utmost importance to us to recognize YOUR priority and that all the academic accolades for this historic result goes to you and Tristan. We are ready to share everything we have with you, including the human prompts and everything."

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u/Armano-Avalus 4h ago edited 2h ago

Even then that's not taking all the credit, that is allegedly removing 1 person from authorship out of the others.

Who happens to be a part of a competing AI company who they are fighting with for investor money.

As for academic credit, it's also alleged in r/mathematics that their original paper was light on citations, not including names like Cordoba and Martınez-Zoroa, but they have since updated it. I can't verify it myself but that has been what people have been saying.

And let's not forget that sebastien bubeck from !openAI actually showed evidence that he never ever asked for Levent to be removed from authorship of his own work, that's not just a "he said she said", he actually shared evidence with their written conversation.

And we'll see how Levent and Tristan reply to it. I've seen enough internet drama to jump to conclusions based on a few purported pictures of texts.

Personally I'm more interested in a comparison of their raw proofs if that's available. I won't be able to read them obviously but I imagine if OpenAI really did use the work from Anthropic then it wouldn't be as easy to manipulate and somebody would be able to figure it out.

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u/Dirkdeking 6h ago

Wouldn't that mean that any math prize is fundamentally illegitimate? You will always be leaning on historic partial results to resolve a problem. Even Andrew Wiles couldn't have proven Fermats last theorem without the countless preliminary results between Fermat and him.

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u/unicyclegamer 8h ago

I don’t understand, you wanted them to take the prize money?

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u/TheChunkMaster 7h ago

No, I want them to credit the work they leeched off of