When Conservation of Energy FAILS! (Noether's Theorem)

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:    • Lagrangian Mechanics: How powerful is it?   What the HECK is Energy?    • What the HECK is Energy?   Noether's Theorem Explained:    • Noether's Theorem Explained   ________________________________ RELATED YOUTUBE VIDEOS PBS Space Time on Energy Conservation:    • What is Energy?      • Noether's Theorem and The Symmetries of Re...   Physics Girl on Energy Conservation:    • Is energy always conserved?   Minute Physics on Energy Conservation:    • A Simple Proof of Conservation of Energy   ________________________________ SUPPORT THE SCIENCE ASYLUM Patreon:   / scienceasylum   Advanced Theoretical Physics (eBook): https://gumroad.com/l/ubSc Merchandise: https://www.scienceasylum.com ________________________________ 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.ed... http://www.preposterousuniverse.com/b... http://math.ucr.edu/home/baez/physics... http://math.ucr.edu/home/baez/noether... ________________________________ LINKS TO COMMENTS    • Lagrangian Mechanics: How powerful is it?      • Lagrangian Mechanics: How powerful is it?      • Lagrangian Mechanics: How powerful is it?   ________________________________ IMAGE CREDITS NASA Big Bang:    • NASA | The Big Bang   Nuclear Explosion:    • Operation Hardtack-1 - Nutmeg 51538   Emmy Noether: https://commons.wikimedia.org/wiki/Fi... ________________________________ 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