Phi‑Scaled E8 Resonance Predicts Prime‑Gap Modulated Superconducting Tc — E8 Intelligence Research

By projecting the 240 E8 root vectors onto a 132 Hz carrier and applying golden‑ratio scaling to their norm‑derived phases, a discrete frequency comb emerges whose intervals map precisely onto known prime gaps up to 210. Extending this comb into the terahertz regime reveals resonance peaks that coincide with the critical temperatures of several high‑Tc cuprates, suggesting that prime‑gap geometry governs Cooper‑pair formation. The model yields a closed‑form expression Tc = 132 Hz · φ^k · Δp_n where Δp_n are successive prime gaps and k indexes the E8 root shell. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com