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etamponitoday at 11:09 AM2 repliesview on HN

It was not solved. ~OpenAI~ Buckmaster and Alpöge found one (or a few) singularities in the forced version of the Navier-Stokes equations. Then magically 2 weeks later OpenAI found them too. Again, I am not saying this is not a great feat. I am just saying that everyone should be a bit more careful when making statements about RSI.


Replies

scarmigtoday at 4:06 PM

As the sibling comment points out, that is incorrect: they solved a smaller, simpler problem, and OAI solved the actual Millennium Problem. But even if they had solved the actual problem and OAI stole it by digging through chats, that hardly supports the "AI has stalled" thesis; Claude played the major role in creating their blowup to a different problem.

How, exactly, does "it was Claude that solved Navier Stokes, not ChatGPT!" get you to "AI has hit a wall and stalled"? That's, not to put too fine a point on it, incoherent, and is just noise thrown into the discussion to avoid grappling with the fact that AI continues to rapidly improve.

red75primetoday at 11:42 AM

Buckmaster and Alpöge has found a forced finite-time singularity for the 3D incompressible Euler equations (and two other types) building on the work by Diego Córdoba and Luis Martínez-Zoroa with the assistance of Anthropic and OpenAI models. Then OpenAI found a forced finite-time singularity for the Navier-Stokes equations.

TL;DR Buckmaster and Alpöge haven't solved Navier-Stokes blow up.

How information can get so distorted when it's trivial to fact check?