Noether's theorem implies that if there is a continuous symmetry in the Lagrangian of a system, this necessarily implies a corresponding conservation law. But does the theorem also imply the reverse? Is it possible for a system that obeys a conservation law to not have a corresponding symmetry in its Lagrangian?
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Possible duplicate: https://physics.stackexchange.com/q/24596/2451 – Qmechanic Mar 07 '19 at 14:43