[NEW VIDEO] The Dome Paradox: A Loophole in Newton's Laws (Patreon)

The Dome Paradox: A Loophole in Newton's Laws

Get Nebula using my link for 40% off an annual subscription: https://go.nebula.tv/upandatom Watch Becoming Human: https://nebula.tv/becominghuman Thank you to John Norton, Brett Park, Samuel Fletcher and Guido Bacciagaluppi for your guidance and consultation with this video. Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) https://www.patreon.com/upandatom Visit the Up and Atom store https://store.nebula.app/collections/up-and-atom Subscribe to Up and Atom for physics, math and computer science videos https://www.youtube.com/c/upandatom For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatomshows *A big thank you to my AMAZING PATRONS!* Raz Tirosh, Michael Seydel, Thorsten Auth, Chris Flynn, Izzy Ca, Tate Lyles, Richard O McEwen Jr, Fabio Manzini, Scott Ready, John H. Austin, Jr., Brian Wilkins, David Johnston, Thomas Krause, Ave Eva Thornton, Andrew Pann, Anne Tan, Dirk Wouters, Stoney Bair, Jeffrey Dutt, Joseph Lamoree, Francisco, Marc-Antoine, Thomas Urech, chuck zegar, David Tuman, Ben Mitchell, Tyler Simms, James Mahoney, Jim Felich, Jeremy, Robin High, KiYun Roe, Ron Hochsprung, Andi B, James Matheson, Kevin Anderson, Alexander230, Tim Ludwig, Justin Smith, A. Duncan, Mark Littlehale, Tony T Flores, Dagmawi Elehu, Jeffrey Smith, Alex Hackman, bpatb, Joel Becane, Cy 'kkm' K'Nelson, eris esoteric, Paul Barclay, 12tone, John Lakeman, Jana Christine Saout, Jeff Schwarz, Yana Chernobilsky, Louis Mashado, Michael Dean, Chris Amaris, Matt G, Dag-Erling Smørgrav, John Shioli, Susan Jones, y.k., B Henke, Bryan Hughes, Ian Grant, Trance Maharaj, Matt, Jonathan Rayback, geek1027, Smarter Every Day, Miles Freeman, Bunny Lushington, Jake!, Motty Porat, Yaw Mintah, Carlos Escolar, Anthony Docimo, robert lalonde, Cassandra Durnord, Paul Bunbury, Richard Rensman, David Shlapak, Kent Arimura, Phillip Rhodes, Michael Nugent, James N Smith, Roland Gibson, Piotr Klos, Joe McTee, Oleg Dats, Simon J. Dodd, Tang Chun, Michelle, William Toffey, James Horsley, Craig Tumblison, Cameron Tacklind, Lance Ahmu, Steve Watson, Potch, Thomas P Taft, Indrajeet Sagar, Pablo de Caffe, Taylor Hornby, Colin Byrne, Nick H, Jesper de Jong, Sofia Fredriksson, Spuddy, Sascha Bohemia, Stephen Britt, KG, Hansjuerg Widmer, John Sigwald, O C, Carlos Gonzalez, James Palermo, Marc Catapano, Chris Teubert, Fran, Wolfgang Ripken, Jeremy Bowkett, Vincent Karpinski, Nicolas Frias, Louis M, ROBERT C PAYNE, Moose Thompson, Rick DeWitt, S, Gene Levitsky, Pat Gunn, George Fletcher, RobF, Vincent Seguin, Michael Brunolli, Shawn, Jesse Clark, Steven Wheeler, Lynn Shackelford, Philip Freeman, Armin Quast, Jareth Arnold, Simon Barker, and Simon Dargaville. Creator - Jade Tan-Holmes Script - Jade Tan-Holmes and Joshua Daniel Animations - Hamed Akrami Music - epidemicsound.com Dome - Stanley Li *Sources and further reading* https://sites.pitt.edu/~jdnorton/Goodies/Dome/ https://sites.pitt.edu/~jdnorton/papers/DomePSA2006.pdf https://sites.pitt.edu/~jdnorton/papers/003004.pdf Chapters: 0:00-2:41 Norton's Dome 2:41-4:33 Why should we care? 4:33- 5:15 Hand-wavey explanation 5:15-6:41 Newtonian Determinism 6:41-7:14 Uniqueness Theorem 7:14-8:37 Multiple solutions 8:37-9:05 Breaking determinism 9:05-11:51 Lipschitz Continuity 11:51-14:15 Breaking NEWTONIAN determinism 14:14-14:51 Hate for the dome 14:51-16:48 Why not discard the problematic solution? 16:48-19:51 Does the dome break Newton's 1st Law? 19:51 What does the dome mean for physics?