Eva Miranda: The Mathematical Bridge Between Classical and Quantum

Eva Miranda: The Mathematical Bridge Between Classical and Quantum

Eva Miranda explains how hidden geometric structures can unite classical and quantum physics, exploring integrable systems, Bohr‑Sommerfeld leaves, and geometric quantization. The conversation reveals a promising path toward bridging long‑standing gaps in theoretical physics.- 00:00 - Introduction- 06:12 - Classical vs. Quantum Mechanics- 15:32 - Poisson Brackets & Symplectic Forms- 24:14 - Integrable Systems- 32:01 - Dirac’s Dream & No‑Go Results- 39:04 - Action‑Angle Coordinates- 47:05 - Toric Manifolds & Polytopes- 54:55 - Geometric Quantization Basics- 1:03:46 - Bohr‑Sommerfeld Leaves- 1:12:03 - Handling Singularities- 1:20:23 - Poisson Manifolds Beyond Symplectic- 1:28:50 - Turing Completeness & Fluid Mechanics Tie‑In- 1:35:06 - Topological QFT Overview- 1:45:53 - Open Questions in Quantization- 1:53:20 - ConclusionSPONSORS:- The Economist: 20% off discount – https://www.economist.com/toeRESOURCES:- Eva Miranda's website: https://web.mat.upc.edu/eva.miranda/nova/- Roger Penrose on TOE: https://www.youtube.com/watch?v=sGm505TFMbU- Curt's post on LinkedIn: https://www.linkedin.com/feed/update/urn:li:activity:7284265597671034880/- Join My New Substack (Personal Writings): https://curtjaimungal.substack.com- Listen on Spotify: https://tinyurl.com/SpotifyTOE- Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join- Support TOE on Patreon: https://patreon.com/curtjaimungal- 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

Jaksot(342)

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 Maalis 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 Maalis 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 Maalis 1h 6min

Nir Lahav: What If Consciousness Follows the Rules of Relativity?

Nir Lahav: What If Consciousness Follows the Rules of Relativity?

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 Maalis 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 Maalis 16min

David Bessis: What Mathematics Really Is and How to Learn It

David Bessis: What Mathematics Really Is and How to Learn It

What is mathematics, really? Mathematician David Bessis joins me to argue that math isn't about numbers in a Platonic realm or a meaningless game of symbols—it's a cognitive technology for rewiring yo...

23 Helmi 2h 18min

Erik Verlinde: Gravity Is Not Fundamental, It Is Entropic

Erik Verlinde: Gravity Is Not Fundamental, It Is Entropic

What if gravity is just entropy in disguise? Professor Erik Verlinde joins me to argue that gravity isn't a fundamental force—it's thermodynamic, emerging from quantum information the way gas pressure...

16 Helmi 1h 58min

Vitaly Vanchurin: The Universe Is a Neural Network That Learns

Vitaly Vanchurin: The Universe Is a Neural Network That Learns

What if physics is just the universe learning? Most Theories of Everything episodes are mind‑bending for their math, physics, philosophy, or consciousness implications. This one hits all four simultan...

9 Helmi 1h 58min

Suosittua kategoriassa Tiede

rss-poliisin-mieli
tiedekulma-podcast
rss-mita-tulisi-tietaa
rss-tiedetta-vai-tarinaa
rss-duodecim-lehti
rss-lihavuudesta-podcast
utelias-mieli
radio-antro
filocast-filosofian-perusteet
university-of-eastern-finland
docemilia
hippokrateen-vastaanotolla
rss-kasvatuspsykologiaa-kaikille
rss-astetta-parempi-elama-podcast
rss-tervetta-skeptisyytta
rss-lapsuuden-rakentajat-podcast
rss-sosiopodi