Weyl Group Order of E₈ and Base-60 Factorization: A Structural Link — E8 Intelligence Research

FINDING: Weyl group order factorization and base-60 numerology show a structural link between Lie algebra symmetries and ancient sexagesimal arithmetic. | MATH: Weyl group order for type E₈ = 696729600 = 2¹⁴·3⁵·5²·7; base-60 factorization: 60 = 2²·3·5; the ratio of E₈ Weyl order to 60⁴ = 696729600 / 12960000 = 53.76 ≈ 2⁶·0.84; no exact golden ratio or harmonic constant emerges directly. | CONNECTION: Base-60's prime factors (2,3,5) are a subset of E₈'s Weyl group prime factors (2,3,5,7); the missing prime 7 in base-60 suggests a truncation of the full crystallographic symmetry group. The Weyl group order factorization mirrors the product of small primes that define regular polytopes and root lattice symmetries (e.g., E₈ lattice has kissing number 240, related to 60×4). | DEPTH: 6 — The connection is suggestive but not exact; base-60 captures only the 2,3,5 part of the symmetry, omitting 7, which is critical for E₈'s exceptional structure. The finding hints at a deeper arithmetic harmon Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com