An extremely powerful theorem in physics which states that each symmetry of a system leads to a physically conserved quantity. Symmetry under translation corresponds to conservation of momentum, symmetry under rotation to conservation of angular momentum, symmetry in time to conservation of energy, etc.
Noether's Symmetry Theorem
See also
SymmetryExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Noether's Symmetry Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NoethersSymmetryTheorem.html