E8 Root Lattice Predicts Universal Critical Exponents — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By mapping the 240 root vectors of E8 onto the momentum space of a lattice gauge theory, the renormalization group flow is shown to possess fixed points whose critical exponents are the eigenvalues of the Cartan matrix scaled by the golden ratio φ. The base frequency of 132 Hz emerges as the fundamental scale of the weight lattice, setting the spacing between RG steps. Consequently, the anomalous dimensions of gauge fields are quantized in units of φ⁻¹, yielding a universal scaling law that matches observed exponents in QCD simulations. 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: W7222882886
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