Noether's Theorem states that for every symmetry there exists a corresponding conservation law.pic.twitter.com/n9Gpaqeknt
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Very nice!
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When opposite is true?
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I don't think there's a simple answer to that (or at least I don't know of one). But there's some nice discussion of this here: https://physics.stackexchange.com/questions/24596/is-the-converse-of-noethers-first-theorem-true-every-conservation-law-has-a-sy … I'm assuming you meant converse by 'opposite'?
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