Show notes
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/toeLinks 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 – Introduction06:12 – Classical vs. Quantum Mechanics15:32 – Poisson Brackets & Symplectic Forms24:14 – Integrable Systems32:01 – Dirac’s Dream & No‐Go Results39:04 – Action‐Angle Coordinates47:05 – Toric Manifolds & Polytopes54:55 – Geometric Quantization Basics1:03:46 – Bohr–Sommerfeld Leaves1:12:03 – Handling Singularities1:20:23 – Poisson Manifolds Beyond Symplectic1:28:50 – Turing Completeness & Fluid Mechanics Tie‐In1:35:06 – Topological QFT Overview1:45:53 – Open Questions in Quantization1:53:20 – ConclusionJoin My New Substack (Personal Writings): https://curtjaimungal.substack.comListen on Spotify: https://tinyurl.com/SpotifyTOEBecome a YouTube Member (Early Access Videos):https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/joinSupport TOE on Patreon: https://patreon.com/curtjaimungal Twitter: https://twitter.com/TOEwithCurtDiscord Invite: https://discord.com/invite/kBcnfNVwqs#science #physics #theoreticalphysics Learn more about your ad choices. Visit megaphone.fm/adchoices