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''To every symmetry, there corresponds a conservation law'' |
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'''Noether's theorem''' is a very crucial result in [[theoretical physics|theoretical]] [[physics]] that expresses the equivalence of two different properties of [[physical law]]s, the former being that of [[invariance]] of the form that the law takes with respect to any generalized transformation that the coordinate system (both spatial and temporal aspects taken into consideration) is subject to, and the latter being a [[conservation law]] of a physical quantity. It is named after the mathematician [[Emmy Noether]] of the early [[20th century]].
*''To every [[symmetry]], there corresponds a [[conservation law]]''
The formal statement of the theorem derives an expression for the physical quantity that is conserved (and hence also defines it), from the condition of invariance alone. For example,
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