One-Octonion Brane-Bulk Framework - Paper CCCLII: The S4 Permutohedron as a Positive Geometry — Exact Canonical Form, Facet Factorization, the Torsor Labeling of the Klein Quartic's 24 Heptagons, and a Candidate Scattering Polytope for the Matter Tetrahedron
The series identifies every Standard-Model interaction vertex with a Reidemeister move on knotted brane loops, and the path integral with a sum over Reidemeister sequences (Papers VIII, XII); the standing open item is the measure. This paper establishes the geometric half of a candidate answer; the physical half is sta...