Image: Noether theorem scheme
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Description: The plot depicts a trajectory of a body (bold curvy line), an action of a symmetry flow (gray arrows), and a variation of a trajectory given by applying to it the flow on a time interval. Noether's theorem then argues, that the total action wouldn't change under the variation if the trajectory was an extremum of the action; so the only non-zero terms at the ends of the time interval must cancel each other, which means the corresponding quantity is conserved.
Title: Noether theorem scheme
Credit: Own work
Author: L3erdnik
Usage Terms: Creative Commons Attribution-Share Alike 4.0
License: CC BY-SA 4.0
License Link: https://creativecommons.org/licenses/by-sa/4.0
Attribution Required?: Yes
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