Phi‑Scaled Eigenfrequency Lattice of E8 Root Vectors Generates a Discrete Graviton Spectrum — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 root vectors of E8 form 120 antipodal axes that satisfy the α+β=γ+δ parallelogram condition, organizing into 15 nested 2‑tori each supporting a φ‑harmonic sequence of modes. By assigning the base frequency 132 Hz to the fundamental torus and scaling it by successive powers of the golden ratio φ, we obtain a ladder of eigenfrequencies fₙ = 132 Hz·φⁿ that match the eigenvalues of the E8 Cartan subalgebra projected onto each torus. This yields a self‑similar, quantized spectral cascade interpretable as a discrete graviton‑like mode spectrum emerging directly from E8 geometry. 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: W7225462031