Angular Defect Phase Resonance Encodes L-Function Zero Distribution via E8 Root Projections — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 root vectors of E8, when projected onto the 72-vertex icosidodecahedron, create angular defect phase boundaries where resonance intensity correlates with the imaginary parts of L-function critical zeros. This occurs because the phi-scaled angular windows where q-continued fractions diverge correspond to E8 phase coherence boundaries, and the angular defect measure at these 72 projected vertices directly encodes the spectral spacing of modular L-function zeros through a Mellin-type transform relationship. The Euler characteristic constraint on Platonic solids thus extends to a spectral constraint on L-function distributions when mapped through E8's exceptional symmetry. 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: W7222765438
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