Long-Sought Proof Tames Some of Math's Unruliest Equations

https://arxiv.org/pdf/2401.07160

This obviously has implications for modeling physical systems. That's mentioned at the end of the article - though I'm proud of my very, very non-mathematician self for thinking of it earlier, lol - but not expanded. For those of you who do that sort of thing, how helpful will it be? What sort of improvement (in resolution? Fidelity? Efficiency? Anything else?) might your particular field expect?