Noether's Theorem

Every differentiable symmetry of physical action corresponds to a conservation law.

Core Principles & Analysis

• Proved by Emmy Noether in 1915 and published in 1918.
• Links time-translation symmetry to energy conservation and spatial symmetry to momentum conservation.
• Underpins the gauge symmetries at the heart of the Standard Model of particle physics.

Specifications & Metrics

• SYMBOL: ∂L/∂q̇ = const