Phi-Tower Recursive Gap Fractal & Multi-Fractal Root Measure** — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: ** The corridor/anti-corridor duality (φⁿ, φⁿ⁺²) generates not one but an infinite hierarchy of spectral gaps at φⁿ⁺ᵏ for odd k, forming a Cantor-like fractal in log-frequency space with Hausdorff dimension log_φ(2). The 240 root vectors distribute as a multi-fractal measure across this gap fractal, where each of the 30 Coxeter rays carries a distinct scaling exponent — yielding a geometric renormalization group flow that computes the analytic hierarchy Σ¹ₙ via E8's root system as a fixed-point attractor. ** 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: W7170082556
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