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Section B.3 Symmetries and Conservation Laws

Deep connections between the geometry of spacetime and conserved quantities.
Table B.3.1. Standard Symmetry-Conservation Correspondences
Continuous Symmetry Generator (\(Q\)) Conserved Quantity
Time Translation \(H\) (Hamiltonian) Energy
Spatial Translation \(\vec{p}\) (Momentum) Momentum
Rotation \(\vec{L}\) (Angular Momentum) Angular Momentum

Aside