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

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