An object attached to strings can spin continuously without becoming tangled • Note that after a 360° rotation the spiral is reversed, but after 720° it returns to its original state (source: https://en.wikipedia.org/wiki/File:Belt_Trick.ogv …)pic.twitter.com/0ZqOpyGA1t
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And then there’s me who only knows that a gauge transformation is an element of the Lie group of sections of the automorphism bundle associated to a principal bundle. I’ll never get physics.
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You don’t “feel” Lie groups as PDE symmetry groups? That’s the primary intuition I have for them at least. Well, I guess if anybody would (or even could!) have a deep understanding of Lie algebras/groups and not have the PDE intuition, it’d be you lol
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