Back to Plato
So he outlined the amplituhedron program, the picture that the amplitudes have so many complicated terms because the amplitudes are really volumes of a polytope in an auxiliary space and the polytope is cut to many complicated pieces in some ad hoc ways. This program interprets a scattering process as a generalization of the process where just numerical labels scatter – and their scattering means a permutation.Polytopes cut into many complicated pieces? Shades of Plato's Timaeus, where he constructs a cosmology of the regular polytopes he knew - the so-called Platonic solids, and their pieces, taking special note of the fact that all except the dodecahedron can be decomposed into 30-60-90 triangles.
I was going to mention this on his blog, but he has me banned. My theory is that he's afraid some of his audience of mostly crazies might be converted.