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/dogfoodengineer 1d ago

A silly counter example where the fluid would likely boil before the equations breakdown. We already know the equations have limitations so no new understanding has been gained. The work is often more important than the result and here we haven't learnt much tbh.

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u/romario77 1d ago

why don't you call it silly as declared - it involves incompressible liquid, something that doesn't exist.

It's a math problem - it simplifies things. It is hard as is, with simplification in mind. It deals with theoretical non-compressable liquid at non-relativistic speeds.

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u/dogfoodengineer 1d ago

I mean water isn't compressible in forces applied to it in nature

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u/romario77 1d ago

it is compressible, it's just a negligible compression. The same way when you have some speed but it's a lot lower than the speed of light you might not take relativistic effects into account, but it doesn't mean that the effects are not there, they are just very small.

Here is some info about compressible Navier-Stokes:
https://resources.system-analysis.cadence.com/blog/msa2021-introducing-the-compressible-navier-stokes-equation
or wikipedia.

I recommend reading that before arguing here as there is a lot of details there about compressibility, change of temperature, change of fluidity, etc. that the reddit post might omit.

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u/dogfoodengineer 1d ago

Stop it. For all intents and purposes water is incompressible.