cross-posted from: https://hexbear.net/post/9497419
The Millennium Problems are a set of the most important open problems in mathematics. so far only 2 have been solved: the Poincare Conjecture by Grigori Perelman in 2010 and today OpenAI released this https://openai.com/index/navier-stokes-solution/
The only problem is, that their AI didn't even come up with the solution itself. Mathematicians working on the same problem recently made big strides in solving the Navier Stokes equations, and their chat logs were scraped and used in training data before they could release the proof themselves.
Here is the unpaywalled statements of the Mathematician: https://mastodon.social/@tristanbuckmaster/117233413705701198
Western AI companies have been tackling a bunch of open problems and techbro chuds cannot shut up about it, this is just Marketing and the fact they have to steal real people's work to do so just proves it. They really want that IPO moneyyy
Well "solved" is a bit of a weird way to say it. Was it proven as true, or was it disproven? Both of those change things in different ways.
Proven true that it is a stable formula, then that's cool, and we know that issues with fluid simulations based off of that are a software and compute problem.
If it was disproven, then we learn precisely under what specific conditions nature becomes mathematically unpredictable, and then we can start developing different and better models.
My understanding is that it has only been shown to have closed form analytical solution for very simple cases. "Solved" in this case would mean doing the same for more complex geometries. It would mean finding new functions like spherical harmonics or the Bessel Function.