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# What theorem relates the equivalence of symmetry and conservation?

Question #54305. Asked by peasypod. (Jan 21 05 10:15 PM)

gmackematix

Gmack has been away for a little while repairing the cable his dog chewed through.

Noether's theorem is a central result in theoretical physics that expresses the one-to-one correspondence between symmetries and conservation laws. This exact equivalence holds for all physical laws based upon the action principle. It is named after the early 20th century mathematician Emmy Noether. Noether's Theorem is deeply tied to quantum mechanics as it identifies physical variables that are related by the Heisenberg uncertainty principle (such as position and momentum) using only the principles of classical mechanics.
http://en.wikipedia.org/wiki/Noether's_theorem

 Jan 22 05, 11:43 AM
gmackematix

And as you don't see them often, this is what one lady mathematician looked like:
http://en.wikipedia.org/wiki/Emmy_Noether

Amalie Nöther (March 23, 1882 – April 14, 1935) was a talented German-born mathematician of the early 20th century, with penetrating insights that she used to develop elegant abstractions which she formalized and published. She is almost universally known as Emmy Noether.

 Jan 22 05, 11:46 AM

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