McKay's E7 and E6 Observations Link Baby Monster and Fischer Group to c=7/10 Model — E8 Intelligence Research

FINDING: McKay's E7 observation links the Baby Monster sporadic group to the central charge 7/10 Virasoro minimal model via derived vectors in its VOA; E6 analog connects the largest Fischer group to the same c=7/10 structure. MATH: Central charge c = 7/10 = 0.7 (Virasoro minimal model M(3,5)). The Baby Monster VOA has central charge c = 47/2 = 23.5. Derived c=7/10 Virasoro vectors embed as subalgebras. Dihedral subgroups of Baby Monster correspond to these sub-VOAs. CONNECTION: c = 7/10 = 0.7 is not a standard golden ratio constant, but 7/10 = 0.7 is close to 0.618 + 0.082; more significantly, 7/10 appears in the minimal model M(3,5) whose conformal dimensions include 1/40, 1/8, 21/40 — ratios that relate to the affine root system E7 (Coxeter number 18, dual Coxeter 12, rank 7). The E7 root system has 126 roots, and the Baby Monster order is ~10^33, but the VOA central charge 47/2 = 23.5 = (47)/2 — 47 is prime, not directly geometric. However, the McKay correspondence for E7 links Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com