While I’m an experimental physicist and not a specialist in mathematical physics, I thought I’d chime in on the Yang-Mills mass gap problem since it’s a pretty fascinating topic. First off, yes, the mass gap problem is very much still open. It’s one of the Clay Mathematics Institute’s Millennium Prize Problems, and solving it would lay down a cornerstone for quantum field theory (QFT). Basically, it’s about proving that in quantum Yang-Mills theory, there’s a mass gap—meaning the lowest energy excitation has a positive mass. This is super important because QFT is the foundation for understanding things like particle physics.
I checked out the first link you posted, which claims to have a solution published in Nature. However, I couldn’t find any trace of this article in Nature or other reputable databases. That’s a bit of a red flag, especially since a legit solution to this problem would definitely be big news in the physics and math communities.
For anyone interested in digging deeper, the Clay Mathematics Institute has a great overview of the problem (Yang-Mills & The Mass Gap - Clay Mathematics Institute). Remember, any valid solution will need to go through intense peer review before being accepted. Until then, the problem remains unsolved, and we’re all still waiting for that breakthrough.
Hope this helps clarify things!
