TIL a little more about Noether’s theorem

Emmy Noether was a mathematician who looked into why energy is not conserved in Einstein’s General Relativity, and came up with a fundamental theorem of reality that generalizes to all conservation laws. For example:

• Momentum is conserved iff there’s a translation symmetry (if it doesn’t matter WHERE something happens)
• Energy is conserved iff there’s a time symmetry (if it doesn’t matter WHEN something happens)

Basic intro

Proof and simple derivations