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diomedesyesterday at 5:36 PM2 repliesview on HN

madness. which will be the next to fall? if i had to bet i would guess birch and swinnerton-dyer, but i'm no expert


Replies

Kotlopouyesterday at 6:26 PM

No idea about which is more likely, but I'm rooting for Yang-Mills. It's absurd that fundamental physics has formulated its most precise currently known theory way back in the seventies and since then, even a tiny subset of it can't be proven to be actually well-defined. If we got out of that morass then something good would come out of this at least.

Of course, as with all of those, it's about the broader program, e.g. section 7 here (https://www.scottaaronson.com/papers/npcomplete.pdf), where Scott Aaronson wants to ask about whether quantum computers using quantum field theory could gain any speed advantage over regular quantum computers, but can't even formulate the question because quantum field theory is mathematically ill-defined.

Just solving Yang-Mills because that's what the prize is attached to would be useless.

frozensevenyesterday at 7:34 PM

There was a recent rumor about the Hodge Conjecture. I'd keep an eye on that one. But like the other person who replied, I'm also rooting for Yang-Mills. That has massive potential for unlocking a series of physics results.