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Noether's theorem

Noether's theorem states that every differentiable symmetry generated by local actions has a corresponding conservation law.



If a system has a continuous symmetry property, then there are corresponding quantities whose values are conserved in time.


Example 1

The Noether charge is the thing that "flows" in a current and is the generator of the symmetry group.



The theorem was proven by the German mathematician Emmy Noether in 1915.

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