Quantum Physics Missing Link Discovered... [Geometric Quantization]

The classical and quantum worlds are not as apart as we thought. Eva Miranda, a renowned researcher in symplectic and Poisson geometry, explains how “hidden” geometric structures can unite classical and quantum frameworks. Eva dives into integrable systems, Bohr–Sommerfeld leaves, and the art of geometric quantization, revealing a promising path to bridging longstanding gaps in theoretical 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 Links Mentioned: •⁠ ⁠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/ Timestamps: 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 – Conclusion 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 #science #physics #theoreticalphysics Learn more about your ad choices. Visit megaphone.fm/adchoices

Om Podcasten

Exploring theoretical physics, consciousness, Ai, and God in a technically rigorous manner. If you'd like to support this endeavor, then please visit the Patreon ( https://patreon.com/curtjaimungal ). Thank you for your charitable and kindhearted support. My name's Curt Jaimungal, a Torontonian with a degree in mathematical physics from the University of Toronto and I analyze various Theories of Everything from this analytic perspective, though more and more opening up to alternative approaches. The separating factor of TOE from other podcasts is its focus on depth even at the risk of limiting the audience due to how much detail we delve into subjects. Paralleling the intensity found in academic discourse, we're increasingly embracing a spectrum of unconventional ideas to conduct research during this podcast, rather than merely conveying existing information. Contact toe [at] indiefilmTO [dot] com for business inquiries / sponsorship.