For mechanical systems, one result of this theorem shows that in a geodesic direction, the Killing vector field magnitude projection is constant.
For mechanical systems, one result of this theorem shows that in a geodesic direction, the Killing vector field magnitude projection is constant. Its analog in quantum field theory is the Ward-Takahaski indentities that can yield a charge useful for calculating the entropy of stationary black holes. Useful because it uses classical mechanics to determine physical quantities related by the uncertainty principle, it originally applied to theories described by Lagrangians. Its results identify relationships between rotation and angular momentum as well as translation and linear momentum.FTP, identify this theorem which relates conserved quantities to symmetries.
For mechanical systems, one result of this theorem shows that in a geodesic direction, the Killing vector field magnitude projection is constant.
{Noether}'s Theorem