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

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Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner (ETH Zurich) proves quantum mechanics contains logical contradictions that undermine its foundations.Quantum theory may be the most successful theory in history — and Renato Renner has p...

30 Mars 3h 26min

Jenny Wagner: What If We've Been Wrong About Dark Matter For Decades?

Jenny Wagner: What If We've Been Wrong About Dark Matter For Decades?

Jenny Wagner examines the inverse problem: how to map dark matter without assuming what it is.What if 85% of the universe's matter isn't missing — it's just that our models were never clean enough to ...

26 Mars 2h 38min

Curt Jaimungal: Why Write?

Curt Jaimungal: Why Write?

Curt Jaimungal argues writing reveals something deeper than output—what LLMs expose about human purpose.Curt Jaimungal argues that in an age where LLMs can produce beautiful prose on demand, we've dis...

19 Mars 6min

JB Manchak: Time Travel in Physics and What We Still Don't Know

JB Manchak: Time Travel in Physics and What We Still Don't Know

Curt Jaimungal examines why physicists still can't resolve whether time travel is possible or forbidden.What if you gathered every possible piece of evidence about the universe — every observation, pa...

16 Mars 2h 17min

Curt Jaimungal: General Relativity Is NOT Deterministic (Here's the Proof)

Curt Jaimungal: General Relativity Is NOT Deterministic (Here's the Proof)

Many people think physics / reality is either guided by a probabilistic distribution or is “determined.” Actually, there’s a third, far‐more unsettling option. Curt Jaimungal explains why Einstein’s g...

12 Mars 21min

John Donoghue: We Have Already Quantized Gravity (And It Works)

John Donoghue: We Have Already Quantized Gravity (And It Works)

Professor John Donoghue explains why quantum physics and gravity actually work perfectly together. He tackles quadratic gravity, effective field theory, and random dynamics, arguing that grand unifica...

11 Mars 1h 6min

Nir Lahav: A Relativistic Theory of Consciousness from Spacetime

Nir Lahav: A Relativistic Theory of Consciousness from Spacetime

A physicist proposes a relativistic theory of consciousness based on spacetime geometry and information.Physicist Nir Lahav joins me to argue that the hard problem isn't hard so much as confused—a con...

5 Mars 3h 8min

Curt Jaimungal: Why Neil deGrasse Tyson Gets "Belief" Wrong

Curt Jaimungal: Why Neil deGrasse Tyson Gets "Belief" Wrong

Curt Jaimungal argues that astrophysicists like Neil deGrasse Tyson and spiritual gurus Deepak Chopra and Thomas Campbell can’t logically claim they don’t hold beliefs. This “Theories of Everything” w...

2 Mars 16min

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