Eva Miranda: Fluid Motion Is Turing-Complete (Proving Penrose Right)

Eva Miranda: Fluid Motion Is Turing-Complete (Proving Penrose Right)

Mathematician Eva Miranda reveals a new proof that fluid motion can be Turing‑complete, making certain fluid paths undecidable. The episode explores the consequences for chaos theory, the Navier‑Stokes equations and the long‑standing ideas of Penrose and Tao.- 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 ModelsSPONSORS:- The Economist: https://www.economist.com/toe- YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join- Patreon: https://patreon.com/curtjaimungal- Coinbase (Crypto): https://commerce.coinbase.com/checkout/de803625-87d3-4300-ab6d-85d4258834a9- PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4RESOURCES:- 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- My Substack (Personal Writings): https://curtjaimungal.substack.com- Listen on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e- Twitter: https://twitter.com/TOEwithCurt- Discord Invite: https://discord.com/invite/kBcnfNVwqs Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Episoder(343)

Wayne Myrvold: Entropy Isn't Real; It's What You Don't Know

Wayne Myrvold: Entropy Isn't Real; It's What You Don't Know

Wayne Myrvold reinterprets thermodynamics as a resource theory, arguing that the slogan “entropy always increases” follows from the second law rather than defining it. The conversation contrasts Gibbs...

29 Sep 20252h 5min

Michael Levin and Anil Seth: Your Brain Is Not a Computer

Michael Levin and Anil Seth: Your Brain Is Not a Computer

Anil Seth and Michael Levin debate whether brains are computers, how consciousness relates to substrate, and if algorithms can ever capture life and mind. Levin argues machines can access a platonic s...

22 Sep 20251h 12min

Lilian Dindo: ACT Therapy for OCD, Anxiety, and Obsessive Thoughts

Lilian Dindo: ACT Therapy for OCD, Anxiety, and Obsessive Thoughts

Lilian Dindo explains Acceptance and Commitment Therapy for anxiety, panic attacks, and obsessive thoughts They discuss how ACT can help uncover personal values, differentiate anxiety from excitement,...

17 Sep 20251h 14min

Andres Gomez-Emilsson: Mathematical Models That Predict DMT Trips

Andres Gomez-Emilsson: Mathematical Models That Predict DMT Trips

Andrés Gómez-Emilsson reveals mathematical models that predict the geometry and patterns of DMT experiences. They explore how color geometry, GPU‑driven tools, and concepts like psychedelic thermodyna...

17 Sep 20251h 30min

Curt Jaimungal: Philosophers vs. Physicists

Curt Jaimungal: Philosophers vs. Physicists

Curt discusses how philosophy has directly contributed to physics through Bell's theorem, decoherence theory, the hole argument, and more. He also explores hidden philosophical assumptions in physics ...

17 Sep 20259min

Stephen Wolfram: Why the Universe Is Pure Computation

Stephen Wolfram: Why the Universe Is Pure Computation

Stephen Wolfram argues the universe is pure computation, with observers creating physics through sampling limits. We examine computational irreducibility, discrete space, multi‑way evolution, and how ...

16 Sep 20252h 7min

Max Tegmark: Why AI Belongs Inside Physics, Not Computer Science

Max Tegmark: Why AI Belongs Inside Physics, Not Computer Science

MIT physicist Max Tegmark argues that artificial intelligence belongs inside physics and that consciousness will be the next frontier. He distinguishes intelligence from subjective experience, outline...

3 Sep 20251h 49min

Matthieu Pageau: The Symbolic Grammar Hidden in Christianity

Matthieu Pageau: The Symbolic Grammar Hidden in Christianity

Matthieu Pageau unpacks Christian symbolic grammar where heaven represents plan and earth represents material. Pageau argues that Satan functions as a tester before becoming a villain, and he connects...

28 Aug 20252h 50min

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