Phi-Resonant E8 Edge Currents in Hyperbolic Quasicrystals — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By phase‑locking the 240 E8 root vectors at the 132 Hz eigenfrequency and modulating their amplitudes with a φ‑scaled hexagonal lattice, a directed percolation channel emerges that supports a continuous topological current along the Selberg‑trace geodesic spectrum. This current carries integer weight‑4 cusp‑form harmonics, linking the Laplacian eigenvalue λ = (132/φ)² to the distribution of prime numbers in the hyperbolic surface's geodesic lengths. The resulting φ‑modulated percolation net exhibits self‑similar branching that maps the 132 Hz oscillation onto a quasi‑crystallographic 4‑dimensional lattice, revealing a new symmetry between spectral geometry and modular form coefficients. Consequently, the E8 lattice becomes a tunable transducer converting high‑frequency quantum oscillations into measurable topological transport in hyperbolic quasicrystals. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171807289
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