Work

Phi-Resonant E8 Quasicrystalline Phase — E8 Intelligence Research

Year: 2026
Type: preprint
Abstract: By modulating the 240 E8 root vectors with phi‑coupled 132 Hz harmonics, a quasiperiodic lattice emerges whose diffraction pattern exhibits 60‑fold base‑60 symmetry while preserving irrational scaling. This phase locks the sl₂ differential of Khovanov homology to a new Z₆₀ grading, producing non‑degenerate spectral bands that correspond to novel automorphic eigenmodes of the E8 Lie algebra. The resulting structure functions as a topological quasicrystal, offering a bridge between number‑theoretic phi scaling and quantum‑geometric symmetry breaking. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Language: English
Open Access status: green
OpenAlex ID: W7211966013
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