Brand New Result Proving Penrose & Tao's Uncomputability in Physics!

As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe Mathematician Eva Miranda returns with a groundbreaking new result: a real physical system (fluid motion) has been proven to be Turing-complete. This means some fluid paths are logically undecidable. In this mind-bending episode, she walks us through the implications for chaos theory, the Navier-Stokes equations, and uncomputability in nature, confirming long-held suspicions of thinkers like Roger Penrose and Terence Tao. Featuring rubber ducks, Alan Turing, and the limits of knowledge itself. Join My New Substack (Personal Writings): https://curtjaimungal.substack.com Listen on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e Timestamps: 00:00 Introduction 01:10 Expect the Unexpected 02:52 Stories of Uncertainty 04:45 The Impact of Alan Turing 06:35 The Halting Problem Explained 09:29 Limits of Mathematical Knowledge 12:40 From Certainty to Uncertainty 16:19 The Rubber Duck Phenomenon 19:29 Unpredictability vs. Undecidability 20:18 Classical Chaos and the Butterfly Effect 27:12 Asteroids and Chaos Theory 34:32 The Navier-Stokes Riddle 41:18 The Cantor Set and Computation 46:18 Bridging Discrete and Continuous 49:21 Turing Completeness in Fluid Dynamics 1:02:39 The Quest for Navier-Stokes Solutions 1:06:53 The Role of Viscosity 1:12:09 Hybrid Computers and Fluid Dynamics 1:26:57 Unpredictability in Deterministic Systems 1:31:44 The Future of Computational Models Links Mentioned: •⁠ ⁠Eva’s First Appearance [TOE]: https://youtu.be/6XyMepn-AZo •⁠ ⁠Moby Duck [Book]: https://amzn.to/4ldoYsZ •⁠ ⁠Roger Penrose [TOE]: https://youtu.be/sGm505TFMbU •⁠ ⁠The Emperor’s New Mind [Book]: https://amzn.to/44jHpGK •⁠ ⁠Edward Frenkel [TOE]: https://youtu.be/RX1tZv_Nv4Y •⁠ ⁠Richard Borcherds [TOE]: https://youtu.be/U3pQWkE2KqM •⁠ ⁠Clay Mathematics Institute: https://www.claymath.org/ •⁠ ⁠Eva’s Papers: https://scholar.google.com/citations?user=werIoRQAAAAJ&hl=en •⁠ ⁠Topological Kleene Field Theories [Paper]: https://arxiv.org/pdf/2503.16100 •⁠ ⁠Ted Jacobson [TOE]: https://youtu.be/3mhctWlXyV8 •⁠ ⁠Stephen Wolfram [TOE]: https://youtu.be/0YRlQQw0d-4 SUPPORT: - Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join - Support me on Patreon: https://patreon.com/curtjaimungal - Support me on Crypto: https://commerce.coinbase.com/checkout/de803625-87d3-4300-ab6d-85d4258834a9 - Support me on PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 SOCIALS: - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs #science Learn more about your ad choices. Visit megaphone.fm/adchoices