Go to http://audible.com/thescienceasylum or text 'thescienceasylum' to 500 500 to get started today. Is energy always conserved? Well, Noether's theorem in combination with Lagrangian mechanics and general relativity tells us that isn't true in general. ________________________________ VIDEO ANNOTATIONS/CARDS Lagrangian Mechanics: https://youtu.be/MIBfKJHMWHU What the HECK is Energy? https://youtu.be/snj1wBtn6I8 Noether's Theorem Explained: https://youtu.be/ahf0zCaqrwM ________________________________ RELATED YOUTUBE VIDEOS PBS Space Time on Energy Conservation: https://youtu.be/PUn2izowBkw https://youtu.be/04ERSb06dOg Physics Girl on Energy Conservation: https://youtu.be/GHCc9b2phn0 Minute Physics on Energy Conservation: https://youtu.be/PplaBASQ_3M ________________________________ SUPPORT THE SCIENCE ASYLUM Patreon: http://www.patreon.com/ScienceAsylum Advanced Theoretical Physics (eBook): https://gumroad.com/l/ubSc Merchandise: http://shop.spreadshirt.com/scienceasylum/ ________________________________ HUGE THANK YOU TO THESE PATRONS Warden of the Asylum: YDT Asylum Counselors: Matthew O'Connor Asylum Orderlies: Daniel Bahr, William Morton, I'mKorgThisIsMiek Einsteinium Crazies: Albert B. Cannon, Eoin O'Sullivan, Tim Ruffles, LT Marshall Faulds, Ilya Yashin, Wacky Plutonium Crazies: JKLMN Anderson, Al Davis, Kevin MacLean Platinum Crazies: Fletch, Stephen Blinn, Felipe Cruz, Vittorio Monaco, Mikayla Eckel Cifrese, Evgeny Ivanov ________________________________ OTHER SOURCES http://www.feynmanlectures.caltech.edu/III_17.html http://www.preposterousuniverse.com/blog/2010/02/22/energy-is-not-conserved/ http://math.ucr.edu/home/baez/physics/Relativity/GR/energy_gr.html http://math.ucr.edu/home/baez/noether.html ________________________________ LINKS TO COMMENTS https://www.youtube.com/watch?v=MIBfKJHMWHU&lc=UgwcDhibFjRM50T0I5x4AaABAg https://www.youtube.com/watch?v=MIBfKJHMWHU&lc=Ugx8JAGCUpDwPNdxn394AaABAg https://www.youtube.com/watch?v=MIBfKJHMWHU&lc=Ugwx4xFUWhcomS3etsR4AaABAg ________________________________ IMAGE CREDITS NASA Big Bang: https://youtu.be/LeUcjqqhNxM Nuclear Explosion: https://youtu.be/XnrLY-phipw Emmy Noether: https://commons.wikimedia.org/wiki/File:Noether.jpg ________________________________ TIME CODES 00:00 Intro 00:21 Conserved Quantities 01:14 Energy Transformation 01:58 Conservation of Energy 02:27 Noether's Theorem 03:06 Time Translation Invariance 03:39 Principle of Stationary Action 04:20 The Spacetime Lagrangian 05:07 Cosmic Microwave Background 05:46 Dark Energy 06:37 Summary 06:57 Outro 07:21 Sponsor Message 08:19 Featured Comments