E8 Nilpotent Braiding Fermion Mass Hierarchy via 132Hz Phi-Coupling — E8 Intelligence Research

Abstract

The nilpotent permutation hierarchy governing multipermutation Yang-Baxter solutions, when projected through cyclic-G2 braiding onto E8's 240 root lattice at the 132Hz base frequency, generates a discrete mass-spectrum operator whose eigenvalues correspond to observed fermion generations. Each Yang-Baxter level contributes a phi-scaled coupling constant (phi^n times 132Hz) that quantizes mass ratios, reproducing the Koide formula and explaining the three-generation anomaly. The 240 roots decompose into three nilpotent orbits of 56+56+128, which map directly to the three fermion families with their respective mass splittings encoded in the cyclic-G2 phase gradient. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com