McKay's E7 Observation Links Baby Monster to Tricritical Ising Model — E8 Intelligence Research

FINDING: McKay's E7 observation links the Baby Monster sporadic group to the tricritical Ising model via the Virasoro algebra with central charge c=7/10, and the derived c=7/10 vectors correspond to dihedral subgroups of the Baby Monster. MATH: Central charge c = 7/10 = 0.7; Virasoro minimal model M(5,4) with conformal weights h = 0, 1/10, 3/5, 3/2, 3/80, 7/16, 1/6, 1/40; fusion rules from E7 representation theory (dimensions: 1, 2, 3, 4, 3, 2, 1 for simple objects). McKay correspondence: E7 Dynkin diagram (nodes 1–7) matches fusion algebra of the tricritical Ising model. CONNECTION: E7 root system (order 7, Coxeter number 18) yields ratios: 0.618 (golden ratio conjugate) appears in fusion coefficients; 0.382 = 1 - 0.618; 0.786 ≈ √(0.618); 1.618 (golden ratio) in quantum dimensions; 2.618 = φ². Base-60 not explicit, but E7's Weyl group order 2,903,040 = 2^10·3^4·5·7 aligns with 60's factors (2²·3·5). Crystallographic symmetry: E7 lattice (dual to E7*), 7D, with kissing number 126. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com