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Noether's Theorem and The Symmetries of Reality

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE To learn more about Brilliant, you can go to https://brilliant.org/spacetime/ Conservation laws are among the most important tools in physics. They feel as fundamental as you can get. And yet they’re wrong - or at least they’re only right sometimes. These laws are consequences of a much deeper, more fundamental principle: Noether’s theorem. You can further support us on Patreon at   / pbsspacetime   Get your own Space Time t­-shirt at http://bit.ly/1QlzoBi Tweet at us! @pbsspacetime Facebook: facebook.com/pbsspacetime Email us! pbsspacetime [at] gmail [dot] com Comment on Reddit:   / pbsspacetime   Help translate our videos!    / timedtext_cs_.  . Previous Episode: How Gaia Changed Astronomy Forever https://www.youtube.com/watch?v=Jdy09... Conservation laws are the cheat codes of physics. They make it possible to solve physics problems that would otherwise be painfully difficult, or even impossible. More than cheat codes – conservation laws are close to the source code – they emerge from profound and simple truths about the basis of reality. They emerge from the fundamental symmetries of nature. The connection between conservation laws and symmetry is encapsulated in Noether’s theorem. But before we dive into this extremely elegant idea, let’s talk about the seeming paradox that inspired it, and the genius who discovered it. Written and hosted by Matt O'Dowd Graphics by Grayson Blackmon Assistant Editing and Sound Design by Mike Petrow and Linda Huang Made by Kornhaber Brown (www.kornhaberbrown.com) Special thanks to our Patreon Big Bang, Quasar and Hypernova Supporters: Big Bang CoolAsCats David Nicklas Anton Lifshits Joey Redner Fabrice Eap Quasar Tambe Barsbay Mayank M. Mehrota Mars Yentur Mark Rosenthal Dean Fuqua Roman Pinchuk ColeslawPurdie Hypernova Edmund Fokschaner Matthew O’Connor Eugene Lawson Barry Hatfield Martha Hunt Joseph Salomone Chuck Zegar Craig Peterson Jordan Young Ratfeast John Hofmann Thanks to our Patreon Gamma Ray Burst Supporters: James Hughes Fabian Olesen Kris Fernet Jane Meyers James Flowers Greg Allen Denys Ivanov Nick Virtue Alexey Eromenko Nicholas Rose Scott Gossett Mark Vasile Patrick Murray Sultan Alkhulaifi Alex Seto Michal-Peanut Karmi Erik Stein Kevin Warne JJ Bagnell Avi Goldfinger John Pettit Florian Stinglmayr Benoit Pagé-Guitard Nathan Leniz Brandon Labonte David Crane Greg Weiss Shannan Catalano Brandon Cook