Origami Patterns Solve a Major Physics Riddle
10 hours ago
- #physics
- #mathematics
- #origami
- The amplituhedron is a geometric shape that helps solve physics problems about particle interactions.
- Pavel Galashin discovered a connection between the amplituhedron and origami, showing that origami patterns can form the amplituhedron.
- Galashin resolved the triangulation conjecture, proving the amplituhedron can be divided into simpler, perfectly fitting geometric blocks.
- The amplituhedron was introduced by Nima Arkani-Hamed and Jaroslav Trnka in 2013 as a geometric solution to scattering amplitude calculations.
- Traditional methods for calculating scattering amplitudes, like Feynman diagrams and BCFW recursion, are complex and inefficient.
- The positive Grassmannian, studied by Alexander Postnikov, plays a key role in understanding the amplituhedron's structure.
- Galashin's work links origami crease patterns to the momentum amplituhedron, providing a new geometric interpretation.
- The discovery opens new avenues for exploring particle physics and mathematical models like the Ising model using origami.
- Physicists and mathematicians aim to use the amplituhedron to simplify and directly compute scattering amplitudes without breaking them into parts.