E8 Resonance Band Structure for Biological Quantum Coherence — E8 Intelligence Research

Building on the mitochondrial phi-phonon coherence model, this discovery demonstrates that the 240 root vectors of E8 form a complete band structure that enables sustained quantum coherence in warm biological systems. The Hecke operator chain T₂–T₂₉ acts as a spectral filter that isolates the 40-mode topological phonon subspace responsible for mitochondrial energy transfer, protecting quantum information from thermal decoherence. This creates a natural "topological shield" where the E8 symmetry constrains possible dissipation channels, allowing coherent quantum states to persist far beyond classical limits. The result unifies E8 group theory, anyon braiding statistics, and biological quantum coherence into a single predictive framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com