Energy conservation is a consequence of a system’s invariance under time translations. Momentum conservation is a consequence of a system’s invariance under spatial translations. Angular momentum conservation is a consequence of of system’s invariance under rotations.

These relationships are all examples of Noether’s Theorem, named after the celebrated female mathematician Emmy Noether.

Energy conservation is a consequence of a system’s invariance under time translations. Momentum conservation is a consequence of a system’s invariance under spatial translations. Angular momentum conservation is a consequence of of system’s invariance under rotations.

These relationships are all examples of Noether’s Theorem, named after the celebrated female mathematician Emmy Noether, “the most important woman in the history of mathematics”.