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### Noether's theorem

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

##### Explanation

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.

## HistoryThe theorem was proven by the German mathematician Emmy Noether in 1915. |