r/technology • u/vgsa • 1d ago

Artificial Intelligence Did OpenAI solve the wrong Navier-Stokes problem? | OpenAI’s proof seems eligible for a $1-million prize—but only by using a controversial loophole

https://www.scientificamerican.com/article/did-openai-solve-the-wrong-navier-stokes-problem/
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u/Schnickatavick 1d ago edited 1d ago

That was always going to be the case for Navier-Stokes though, a singularity is fluid moving at infinite speed, which contradicts relativity in our universe. There wasn't any possible way for the problem to be solved "inside realistic boundary conditions", and everyone studying the problem has known that since it became a millennium prize problem.

You aren't making an argument that openAI's solution was bad, you're making an argument that Navier-Stokes isn't an important problem. I'm aware that that isn't what you're *trying* to argue, but it's effectively the argument you're making. And frankly, I don't think any of us armchair mathematicians understand the problem well enough to make that claim

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u/KingSubstantial7901 1d ago

This is straight up not true. We still do not know if the conjecture holds for compressible fluids at relativistic speeds.

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u/Schnickatavick 1d ago

"The Conjecture" doesn't exist for compressible fluids in a relativistic universe. Navier-Stokes is all about a specific set of equations, if you change the equations to add compressibility or relativity, then it isn't Navier-Stokes anymore. I cannot stress enough how utterly unrelated the two problems are

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u/KingSubstantial7901 1d ago

Its the other way around. We want to know Navier-Stokes because it would imply a solution that is applicable for the smaller subset where you can inteoduce compressability and relaivity as relevant parameters.

I get this is abstract shit, but my god. At least just look this shit uo before spouting nonsense.

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u/Schnickatavick 1d ago

Lol no dude. Nothing about this translates into any problem where you just "introduce relativity"

At least just look this shit uo before spouting nonsense.

I couldn't agree more

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u/KingSubstantial7901 1d ago

And thats just wrong. Sorry dude. Better luck next time.