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This 21-minute physics video explores a novel approach to understanding the action principle, addressing fundamental questions about why this quantity exists and why it should be minimized. Discover a satisfying explanation that combines insights from a Nature scientific paper and Noether's theorem, presented with modified notation for clarity. Explore related concepts including the Ostrogradsky instability, techniques for making vector fields divergenceless, and Hamilton-Jacobi equations. Download supplementary files using the password "actionistautological" from the Mathemaniac website. While showcasing interesting and underrated mathematical and physical concepts, this video is designed to present alternative approaches rather than serve as a primary educational resource.
Syllabus
I finally find action principle satisfying
Taught by
Mathemaniac