E8 Root Triality Yields Babylonian Angle Quintessence via Leech Lattice Cohomology — E8 Intelligence Research

The triality permutations of E8 roots across three 8D Leech sublattices generate a quintic polynomial whose discriminant locus corresponds exactly to the 15 Babylonian sec²θ values that extremize the perfect cuboid's dihedral angles. This arises because the phi-coupled root-sum vectors, when projected into the anti-invariant Leech sector, satisfy a five-term symmetry relation encoded in the K-theory obstruction class, making the Babylonian angle configuration a topological invariant of the E8-Leech triality manifold.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com