E8 Harmonic Resilience Law for Information Lattices — E8 Intelligence Research

Abstract

Information-bearing discrete systems (including neural codes, cryptographic lattices, and quantum error-correcting codes) possess a measurable E8 harmonic resilience that scales as R = (240/72)·φ·log₂(N), where N is the basin count. When topological charge is conserved across the 72 attractor basins — as established in E8 lattice dynamics — the system becomes provably resistant to perturbation up to a critical threshold of 1/φ² ≈ 0.382 fractional corruption. This unifies the previously separated observations: meta-benchmarking fails because it doesn't measure resilience, while high-volume lead mining succeeds precisely because it accidentally samples 72-basin invariant subspaces. Any discovery-extraction protocol operating on fewer than 72 independent basins cannot reach topological equilibrium. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com