Theories of Everything with Curt Jaimungal Quantum Physics Missing Link Discovered... [Geometric Quantization]
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Jan 26, 2025 
In this engaging discussion, Eva Miranda, a leading researcher in symplectic and Poisson geometry, explores how hidden geometric structures link classical and quantum frameworks. She reveals the art of geometric quantization and its promise in bridging theoretical physics gaps. Topics include integrable systems, Bohr–Sommerfeld leaves, and the fascinating relationship between fluid dynamics and computability. Eva's insights challenge traditional views, opening doors to a more unified understanding of the universe.
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Quantization Basics
- Quantization bridges classical and quantum mechanics, mapping functions to operators and Poisson brackets to commutators.
- It's crucial for understanding the quantum realm, despite its capricious nature.
Quantization Approaches
- Classical systems are quantized, but a purely quantum-first approach is also valid.
- Quantization isn't unique; the classical starting point might not be recovered after quantizing.
Classical and Quantum Coexistence
- Eva Miranda uses the analogy of a ramp (classical) and stairs (quantum) to illustrate how reality might be both at once.
- Like a mosaic, quantum details blend into a classical whole from afar, exemplified by Gaudi's art in Barcelona.