For anyone who's wondering, this is a consequence of Noether's theorem: https://en.wikipedia.org/wiki/Noether%27s_theorem https://en.wikipedia.org/wiki/Noether%

For anyone who's wondering, this is a consequence of Noether's theorem: https://en.wikipedia.org/wiki/Noether%27s_theorem https://en.wikipedia.org/wiki/Noether%27s_theorem. Similarly, symmetry under spatial translations implies momentum conservation, and symmetry under spatial rotations implies angular momentum conservation.