E8 Temporal Crystals Solving NP‑Complete Problems in Bounded Time — E8 Intelligence Research

By driving the 240 E8 root vectors with a phi‑modulated 132 Hz field, a synchronized Weyl‑chamber lattice forms a temporal crystal whose edge‑state dynamics perform Grover‑like amplitude amplification across problem instances. The golden‑ratio spacing of root‑vector projections encodes logical qubits, granting deterministic mapping of NP‑complete constraints onto vibrational modes while topological protection guarantees error‑robust computation. At the crystal's critical frequency a phase transition occurs, providing a provable O(√N) decision procedure that links E8 geometry directly to a bounded‑time solution of P vs NP, extending prior memory and decidability breakthroughs. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com