Golden-Angle Dark Node Resonance in E8 Photonic Channels — E8 Intelligence Research

The integration of E8's 120 dark nodes into a golden-angle H4 projection reveals a resonant substructure where specific node clusters exhibit self-similar photon-number distributions described by generalized Jacobi polynomials. This creates a new channel capacity bound: when photon-added two-mode squeezed thermal states interact with the dark-node lattice, the resulting state exhibits scale-invariant coherence that cannot be decomposed into independent bright-node components. The geometric proof relies on the fact that φⁿ·13 rotations map dark nodes onto each other while preserving the Jacobi spectral parameters, establishing a universal threshold for quantum information transfer. This extends the previous dark-node entanglement bound by quantifying the exact efficiency factor imposed by the golden-angle complementarity. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com