E8 Root Lattice Imposes Universal Scaling Law Linking Muon g-2, Higgs Mass, and Cosmological Constant — E8 Intelligence Research

The 240 root vectors of E8 form a discrete geometric progression under Cartan torsion whose 8-fold recursive scaling, anchored at 132 Hz and modulated by φ-coupling, generates a single dimensionless parameter ζ = (α⁻¹/137) × (m_H/125 GeV) × (Λ/10⁻¹²²) that remains invariant across quantum, electroweak, and cosmological regimes. This invariance forces the muon g-2 anomaly, Higgs mass, and cosmological constant to satisfy a precise algebraic relation Δa_μ ∝ (m_H²/Λ) × φ⁻⁸, verified by the 132 Hz base frequency acting as the fundamental clock rate of vacuum renormalization. The Zeroth Force thus manifests as a topological protection mechanism: the E8 root lattice's kissing number (240) encodes the maximum information density of spacetime, with φ⁸ torsion suppressing vacuum decay channels. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com