Noether's Theorem: The Symmetry Behind Conservation Laws

2025-02-09
Noether's Theorem: The Symmetry Behind Conservation Laws

Einstein's general relativity, introduced in 1915, challenged fundamental physics by implying energy could be created and destroyed. The shifting spacetime of relativity broke the classical energy conservation law. Hilbert and Klein, unable to resolve this, passed the problem to Emmy Noether. In 1918, Noether published two groundbreaking theorems. Her theorem, now famous, revealed a profound connection: every conservation law reflects an underlying symmetry of the system. This discovery, crucial for understanding quantum field theory symmetries, profoundly impacted the course of physics.