Spacetime and Quantum Mechanics; Particles and Strings; Polytopes, Binary Geometries and Quiver Categories - Nima Arkani-Hamed

Explore cutting-edge connections between particle physics and mathematics in this high-energy theory seminar. Delve into how elementary particle scattering processes relate to combinatorics, algebra, and geometry, challenging traditional views of spacetime and quantum mechanics. Examine how simple particle scattering amplitudes are determined by generalized associahedra polytopes, and discover the concept of "binary geometries" that extend the notion of particles to "strings". Investigate the mathematical foundations underlying these structures, including categories of quiver representations. Gain insights into new approaches for conceptualizing fundamental physics, where spacetime and quantum mechanics emerge from more primitive mathematical principles.

Intro
Standard Physics
Basic Physical Idea
Concrete Strategy
The Nature
Selfcontained vignettes
New mathematical structures
Simplest scalar theory
Finding diagrams
Locality and Unitarity
Geometric Shapes
Stache Polytope
Factorization
Kinematic Space
Why do we know
Positivity
Direct Product
Amplitude
General Polytopes
Closed Polytopes
Geometrical Details
Geometric Example