A deep dive into the Amplituhedron, introduced in 2013 by Nima Arkani-Hamed and Jaroslav Trnka, as a geometric reformulation of scattering amplitudes in planar N=4 supersymmetric Yang–Mills theory. In momentum-twistor space, a positive geometry encodes interaction probabilities as a volume (more precisely, a canonical volume form), bypassing thousands of Feynman diagrams and virtual particles. We’ll unpack how locality and unitarity emerge from geometry, why this approach massively simplifies calculations, and what it might imply about the fundamental role of space-time in physics.

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