Channel: Looking Glass Universe

Category: Education

Tags: conservation lawsphysics (field of study)symmetryemmy noether (academic)the most beautiful idea in physicsnoether's theoremsymmetry and conservation lawsmathlooking glass universequantum mechanics (field of study)

Description: 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 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: physics.usu.edu/torre/6010... but it requires multivariable calculus and a little knowledge of Hamiltonian mechanics.