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[NEW VIDEO!] The Painter's Paradox (Patreon)

Published:
2021-09-25 02:53:26
Imported:
2026-06
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Hope you enjoy and as always thank you for the support :) 

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This Object has Finite Volume, but Infinite Surface Area

Watch over 2,400 documentaries for free for 30 days AND get a free Nebula account by signing up at https://curiositystream.com/upandatom and using the code "upandatom". Once you sign up you'll get an email about Nebula. If you don't get one, contact the curiosity stream support team and they will set you up with a free Nebula account right away. Nebula: https://watchnebula.com/ 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 Subscribe to Up and Atom for physics, math and computer science videos https://www.youtube.com/c/upandatom *Follow me* @upndatom Up and Atom on Twitter: https://twitter.com/upndatom?lang=en Up and Atom on Instagram: https://www.instagram.com/upndatom/ For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatomshows *A big thank you to my AMAZING PATRONS!* Lucas Alexander, Michael Seydel, Brian Wilkins , Cy 'kkm' K'Nelson , Rick DeWitt, Thorsten Auth , Purple Penguin , AndrewA, bpatb , Chris Flynn , Michael Martin, Scott Ready, Izzy Ca , Sofia Fredriksson , John H. Austin, Jr. , David Johnston , Thomas Krause , Yana Chernobilsky, Lynn Shackelford, Adam Thornton, Andrew Pann, Anne Tan , Alexander230, Tim Ludwig, Alexander Del Toro Barba, Corey Girard, Justin Smith, Emily, A. Duncan, Mark Littlehale, Jan Gallo, Drew Hart , Tony T Flores, Russell Barlow , Jeffrey Smith , Brian Kent , Aaron Moffatt , Alex Hackman , Thomas V Lohmeier , Joel Becane, eris esoteric , Artem G. , Michael Hunter , Paul Barclay, 12tone, Zhong Cheng Wang, Damien Holloway, Mikely Whiplash , John Lakeman , Jana Christine Saout , Jeff Schwarz , George Fletcher, Louis Mashado, Michael Dean , Chris Amaris, Matt G , KhAnubis, Broos Nemanic , Dag-Erling Smørgrav , John Shioli , Joe Court , Todd Loreman , Susan Jones, Kevin Anderson, Taylor Hornby, Thomas Bolme, Eric Van Oeveren, Dan Peng, Johnny_medico T, Mark Fisher, Phizz, Rudy Nyhoff, Colin Byrne, Nick H, Dr Andy Hill, Michael Miller, Jesper de Jong, Loren Hart, Ari Prasetyo, Duncan Adamson, Phat Hoang, Spuddy, Sascha Bohemia, tesseract, Stephen Britt, Will Miller, Dagmawi Elehu, Hansjuerg Widmer, John Sigwald, Carlos Gonzalez, Jonathan Ansell, Arsalan N, Thomas Kägi, Courtney Rosenthal, James Palermo, Jeroen Melchiors, Gary Leo Welz, Andrej Zon, Chris Teubert, Fran, Joe, John Sokolowski, Robert J Frey, The Doom Merchant, Wolfgang Ripken, Jeremy Bowkett, Vincent Karpinski, Nicolas Frias, Christopher Phipps, Louis M, kadhonn, Moose Thompson, Austin Rose, Andrew, S, Rob Napier, Sam Ross, Peter Walsh, Garrett Chomka, Bobby Butler, Rebecca Lashua, Pat Gunn, Luc Ritchie, Elze Kool, RobF, Aditya Anantharaman, Frédéric Junod, Vincent Seguin, _Warmbo is the sum of a remainder of an unbalanced equation inherent to the programming of the Matrix., Shawn, Israel Shirk, Ken Takahashi, Jesse Clark, Steven Wheeler, Philip Freeman, Jareth Arnold, Simon Barker, Dennis Haupt, Lou, amcnea, Renato Pereira, Simon Dargaville,and Magesh *Creator* Jade Tan-Holmes *Script* Sheila Miller and Jade Tan-Holmes *Animations* Daniel Kouts http://danielkouts.com/ *Sound Design and Music* Junior Arruda https://www.youtube.com/c/iamaduo https://www.epidemicsound.com/ https://open.spotify.com/artist/1D30m5UYwgT0W9YzBKYZz7?si=xx5NjVdzShuGpB-ZkdMN_Q&nd=1

Comments

Scott Ready

Gabriel's horn has an intrinsic negative curvature in common with many objects with fluted edges. Negative curvature gives an object an impressive outward appearance, like a bird, lizard, fish or coral all puffed up. Go inside and there appears to be no interior space within the fluff and puff. Einstein's field equations have terms for positive curvature and negative curvature. Flat Euclidean space hovers as an equilibrium state at zero curvature. When an object has an extreme amount of positive curvature, it may behave as a tiny and rigid pin-hole. Objects approaching it get deflected by it or go around it. When something manages to thread the needle and vanish into the hole, it enters a voluminous interior akin to that of a black hole or one of J.A. Wheeler's bags of gold: a Mary Poppins carpet bag into which one can fit a whole weeks' worth of provisions and toys.

Scott Ready

P.A.M. Dirac sets Gabriel's horn down on the origin point of the complex plane and says, "Let the volume inside represent an indivisible quantum of action" occurring exactly at the origin point centered around the horn. With the horn, Dirac introduces a generalized function, a remapping of the complex plane into a spike. At points far away from the origin, he tacks down the complex plane to form a rigid horizon. Attach a steel wire to the origin point and pull up hard (or down) very far. The detailed shape one gets does not really matter because Dirac envisions his "delta" function to be know, a la Niels Bohr, in terms of how it relates to other functions and not in an absolute terms. Dirac gives a rule for what he means by a Dirac delta generalized function centered at the origin. He describes delta in terms of how it relates to other functions. Given any other function g, even a generalized function*, the calculus integral over the entire complex plane of the dot product of g and delta gives one the value of g at the origin. That's the rule for Dirac's delta function now ubiquitous in electrical engineering and signal theory. Given this definition, one can introduce Dirac delta spikes all around a complex plane to simulate quanta interacting amongst themselves. *As soon as I posted this I realized that I had left out an essential part of Bohr's legacy. Generalized functions and distributions get multiplied by phase-shifted yet well-behaved classical "test" functions that are continuous and have a finite area under their curve (when integrated over their entire domain). Easy to draw classical functions get matched up with unspecified distributions in phase-shifted dot-like products. This procedure epitomizes Bohr's call that all quantum Dirac delta-like particle behavior gets presented as measured events, only after it has been couched with classical coordinates, lab bench and all. The use of test functions reminds one of Bohr's correspondence principle and how quantum phenomena has to be described side-by-side with classical tools, anchors and notions, even liquid-like drops in nuclear physics.