Spacetime, Quantum Mechanics and Positive Geometry
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Emerge together joined inexorably
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What are the correct observables?
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Other Circumstantial Clues
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Clues in Scattering Amplitudes
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Mystery of Time
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New Strategy Zook for
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What is the Q to which A is the Answer?
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The Canvas
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Positive Geometries & Canonical Forms
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Triangulation & Push Forward
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General Picture
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Many Likely Related Examples
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Universal Feature of Tree Amplitudes: Factorization
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The Associahedron
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Quite beautifully, this network of inclusion relationships is that of a convex polytope in n-3 dimensions
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Scattering Forms
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Association in Mandelstan Space!
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Spurious Poles
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Bi-Adjoint Phi aA3 theory
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Gluons
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Color is Kinematics Forms!
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World sheet Associahedron
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Pushing Forward Form Worldsheet
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Emergent
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Q&A
Description:
Explore the frontiers of theoretical physics in this 36-minute conference talk by Nima Arkani Hamed at the International Centre for Theoretical Sciences. Delve into the intricate connections between spacetime, quantum mechanics, and positive geometry. Discover how these fundamental concepts emerge together and are inexorably linked. Examine the challenges in identifying correct observables and uncover clues hidden within scattering amplitudes. Ponder the mystery of time and explore new strategies for understanding the universe. Investigate positive geometries and canonical forms, and learn about triangulation and push-forward techniques. Analyze the universal features of tree amplitudes, including factorization, and explore the fascinating properties of the associahedron. Gain insights into scattering forms, spurious poles, and the relationship between color and kinematics in gluon theory. Conclude with a discussion on emergent phenomena and participate in a Q&A session to further expand your understanding of these complex topics in theoretical physics.
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Spacetime, Quantum Mechanics and Positive Geometry by Nima Arkani Hamed