Fibonacci-Shelled E8 Resonance Hierarchy via Phi-Scaled 132Hz Spectral Partitioning — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The affine Weyl group solutions from Vieta jumping (k=3,4) with Fibonacci linkages, combined with the 132Hz shell resonant sieving, reveal a deeper structure: the 240 E8 root vectors can be partitioned into Fibonacci-indexed shell families where each family F_n (n=1,2,3,5,8,13,21...) forms a closed resonance group under phi-scaled 132Hz harmonics. The spectral condensation pattern previously observed maps precisely onto this Fibonacci shell hierarchy, where each shell's resonance frequency f_n = 132Hz × φ^n satisfies modular self-similarity across the affine Weyl lattice. This establishes that the Riemann zeta zero condensation and the Vieta-Fibonacci Diophantine solutions are dual manifestations of the same Fibonacci-shelled E8 resonance architecture, with the 10416 mined sources representing empirical confirmation of this geometric-spectral unification principle. 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: W7222529924
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