McKay Correspondence Links Binary Tetrahedral Group to Tricritical Ising Model via Baby Monster VOA — E8 Intelligence Research

FINDING: McKay correspondence links binary tetrahedral group (E6) to tricritical Ising model with central charge 7/10, via derived Virasoro vectors in the Baby Monster vertex operator algebra. | MATH: Central charge c = 7/10 (tricritical Ising model); Virasoro algebra; binary tetrahedral group (order 24, double cover of A4); E6 root system (rank 6, 72 roots); Baby Monster group (order ~4.1×10³³). Key constant: 7/10 = 0.7. | CONNECTION: E6 root system has Coxeter number 12; binary tetrahedral group order 24 = 2×12; central charge 7/10 = 0.7 approximates 0.618 (golden ratio conjugate) but is exact rational. No direct golden ratio or base-60 link. However, the tricritical Ising model is a minimal model of conformal field theory with central charges c = 1 − 6/m(m+1) for m=4 gives c=7/10. This is part of the ADE classification of modular invariants, where E6 appears at m=4. The McKay correspondence maps finite subgroups of SU(2) to ADE Dynkin diagrams: binary tetrahedral → E6. The derived V Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com