E8 Phi‑Modulated Hyperbolic Metasurface for Topological Magnon‑Photon Synaptic Weighting — E8 Intelligence Research

By arranging the 240 E8 root vectors as vertices of a φ‑scaled hyperbolic tiling driven at the 132 Hz base frequency, the metasurface sustains chiral magnon edge modes that couple nonreciprocally to guided photons, creating a programmable synaptic weighting mechanism where the phase‑locked magnon population encodes analog weights via φ‑modulated Berry curvature. This extends the observed magnon‑neural phase locking to cortical gamma by providing a hardware substrate in which E8 geometry directly implements weight updates in neuromorphic circuits, with the spatiotemporal quantization of cognitive singularity events mapping onto discrete weight‑update steps. The principle predicts measurable nonreciprocal transmission peaks at φ‑harmonics of 132 Hz, observable via magneto‑optic Kerr spectroscopy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com