The most beautiful idea in physics - Noether's Theorem

Homework:
-What do you think of this idea? Have you heard of it before?
-Maybe you’ve heard about things like super symmetry in physics- try find out how that’s related.
-If you know some calculus and classical physics, try and find a proof of this theorem.

-Try come up with strange systems with strange symmetries- then see if you can figure out what’s conserved.
The proof and maths of Noether's theorem:
There are two ways to approach Noether's theorem that I know of. The most common is through Lagrangian mechanics- where the proof is surprisingly simple but unfortunately quite opaque (see http://math.ucr.edu/home/baez/noether...) . The other way, and the way I allude to in this video, is using hamiltonian mechanics. I find this way a bit easier to understand and it involves the generators of the transforms more. A great resource for this is the last lecture in this course: http://www.physics.usu.edu/torre/6010...
but it requires multivariable calculus and a little knowledge of Hamiltonian mechanics.

Видео The most beautiful idea in physics - Noether's Theorem канала Looking Glass Universe