Brand New Result Proving Penrose & Tao's Uncomputability in Physics! скачать в хорошем качестве

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/4gL14b9... 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]:    • Geometric Quantization: The Bridge from Cl...   •⁠ ⁠Moby Duck [Book]: https://amzn.to/4ldoYsZ •⁠ ⁠Roger Penrose [TOE]:    • Roger Penrose: Quantum Theory Is Wrong, No...   •⁠ ⁠The Emperor’s New Mind [Book]: https://amzn.to/44jHpGK •⁠ ⁠Edward Frenkel [TOE]:    • Revolutionary Math Proof No One Could Expl...   •⁠ ⁠Richard Borcherds [TOE]:    • Richard Borcherds: E8, Witten, Langlands, ...   •⁠ ⁠Clay Mathematics Institute: https://www.claymath.org/ •⁠ ⁠Eva’s Papers: https://scholar.google.com/citations?... •⁠ ⁠Topological Kleene Field Theories [Paper]: https://arxiv.org/pdf/2503.16100 •⁠ ⁠Ted Jacobson [TOE]:    • The Physicist Who Proved Entropy = Gravity   •⁠ ⁠Stephen Wolfram [TOE]:    • Solving the Problem of Consciousness | Ste...   SUPPORT: Become a YouTube Member (Early Access Videos):    / @theoriesofeverything   Support me on Patreon:   / curtjaimungal   Support me on Crypto: https://commerce.coinbase.com/checkou... Support me on PayPal: https://www.paypal.com/donate?hosted_... SOCIALS: Twitter:   / toewithcurt   Discord Invite:   / discord   #science