2
$\begingroup$

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?

$\endgroup$

marked as duplicate by Qmechanic Mar 7 at 14:44

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.