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https://incogni.com/physicsThis video explains where conservation of momentum and energy come from. Using the principle of stationary action, we show how spatial translation symmetry leads to momentum conservation, and time translation symmetry leads to energy conservation, as formalised by Noether’s theorem.
📚 Resources and References
Symmetries and Conservation Laws: Consequences of Noether’s Theorem American Journal of Physics, 72(4), 428–435 (2004)
From Conservation of Energy to the Principle of Least Action: A Story Line American Journal of Physics, 72(4), 514–521 (2004)
Deriving Lagrange’s Equations Using Elementary Calculus American Journal of Physics, 72(4), 510–513 (2004)
Invariant Variation Problems (Original Noether Paper) Nachrichten von der
Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse (1918), 235–257
The Feynman Lectures on Physics Addison-Wesley
The Character of Physical Law MIT Press / Penguin Books
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