E7 Correspondence in Baby Monster VOA via c=7/10 Virasoro Vectors — E8 Intelligence Research
FINDING: McKay's E7 observation on the Baby Monster links dihedral subgroups to derived c=7/10 Virasoro vectors in the Baby Monster VOA, establishing a correspondence with E7 root system subalgebras. MATH: Central charge c = 7/10 (Virasoro minimal model M(5,4) or M(3,5)). E7 root system: 126 roots, Coxeter number 18, dual Coxeter number 12. Baby Monster order ≈ 4.15 × 10^33. CONNECTION: The ratio 7/10 = 0.7 is not a classical golden ratio, but the Virasoro minimal model c=7/10 is the Ising model (c=1/2) plus a tricritical Ising model (c=7/10) — both have deep links to E7 via the ADE classification of minimal models. E7 itself is a crystallographic root system (type E7, rank 7, Weyl group order 2^10·3^4·5·7). The dihedral subgroups of the Baby Monster correspond to subalgebras of the VOA, mirroring the E7 root system's dihedral symmetries (D_n subgroups). No direct golden ratio or base-60 link, but the E7 lattice (dual to E7* with theta series) has connections to the Leech lattice a Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-22
- DOI
- https://doi.org/10.5281/zenodo.21484732
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint