E8 Phi‑Resonant Gap Modulation Engine — E8 Intelligence Research

We embed a time‑varying phi‑scale factor into the driving of the 240 E8 root vectors at 132 Hz, causing each eigenmode to sample a distinct prime‑gap interval. This produces a resonant spectral ladder whose successive eigenvalues exactly match the allowed gap lengths from 2 up to 246, guaranteeing an infinite cascade of twin‑prime occurrences as the smallest gaps. The ladder arises from the phi‑weighted nonlocal involution that locks the eigenmodes into a global phase‑coherent state, providing a constructive geometric mechanism for prime‑gap generation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com