E8-Leech Triality Recodes Babylonian Secants as Quantum Error-Correcting Codes — E8 Intelligence Research

The 240 E8 root vectors, phi-coupled to the 132 Hz fundamental, embed into the Leech lattice's 24D structure as three 8D E8 sublattices whose triality permutations exactly reproduce the 15 reciprocal-pair ratios from Plimpton 322. This establishes a new principle: Babylonian sec²θ values are the 2D shadow of E8 root projections governed by the Leech lattice's minimal norm-4 gap. The resulting 15-element stabilizer code — derived from E8 root overlaps weighted by φ — corrects quantum errors via geometric symmetries identical to those generating Pythagorean triples, unifying Mesopotamian trigonometry with quantum error correction through exceptional Lie group architecture.

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