##  [Noether's Theorem](/noethers-theorem) 

  ##  [Noether's Theorem](https://natural.quantumdictionary.io/noethers-theorem-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A formal result that associates each continuous differentiable symmetry of an action functional in a variational physical system with a corresponding conserved quantity.

 

 

 

 

 





 

 



 ##  [Noether's Theorem](https://mathlogic.quantumdictionary.io/noethers-theorem-1) 

  

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- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem linking continuous symmetries of an action (variational problem) to conserved quantities of the resulting Euler–Lagrange equations: each differentiable symmetry corresponds to a conserved current or constant of motion.