Anonymous at Sat, 19 Oct 2024 04:52:35 UTC No. 16439284

>>16439244
i have no fucking idea man, i'm just as lost as you

Anonymous at Sat, 19 Oct 2024 05:27:58 UTC No. 16439306

>>16439244
>What's the simplest gauge out there?

Anonymous at Sat, 19 Oct 2024 07:31:28 UTC No. 16439384

Learn to google OP

https://terrytao.wordpress.com/2008/09/27/what-is-a-gauge/

Anonymous at Sat, 19 Oct 2024 08:45:11 UTC No. 16439417

>>16439244
Checked. But yea, wtf is gauge?

Anonymous at Sat, 19 Oct 2024 09:09:01 UTC No. 16439440

>>16439244
Bruh, principal bundles aren't that hard. Just make sure you have a good grasp of connection forms in Riemannian differential geometry, then the generalization to Lie algebra valued forms will be straightforward. Abstractly it really is as simple as it can be. Only the actual calculations might be tedious. And the quantum mechanical consequences of gauge theory are definitely worth it. After all, you get a possible explanation for free will, getting us one step closer to solving the hard problem of consciousness.

Anonymous at Sat, 19 Oct 2024 10:13:09 UTC No. 16439502

>>16439244
>What is gauge theory?
Theory with gauges
>What is a gauge?
a choice of coordinates in an abstract sense
>What's the simplest gauge out there?
U(1) in some sense, but the anomaly cancellation problem in general produces a set of diophantine equations, which is a massive pain

Anonymous at Sat, 19 Oct 2024 10:19:04 UTC No. 16439508

>>16439502
False. The simplest gauge is the trivial gauge on the principal bundle with group {0}.

Anonymous at Sat, 19 Oct 2024 11:01:57 UTC No. 16439542

>>16439508
kek sure

Anonymous at Sat, 19 Oct 2024 11:02:46 UTC No. 16439543

>>16439542
As said. I'm sure.

Anonymous at Sat, 19 Oct 2024 11:35:41 UTC No. 16439566

>>16439543
I know. But the trivial example is also not very useful. The simplest gauge is no gauge.

Anonymous at Sat, 19 Oct 2024 22:08:48 UTC No. 16440385

>>16439384
Holy shit I am actually starting to get it now. Thanks