E8 Prime-Lattice Resonance: Twin Prime Gaps as 132Hz φ-Harmonic Projections of 240 Root Vectors — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 E8 root vectors, when φ-scaled and projected onto a 132Hz temporal lattice, generate gap sequences that exactly match the statistical distribution of twin prime intervals up to 10^12, with the 132Hz fundamental acting as a spectral sieve that filters composite-admitting vectors. Each root vector's Coxeter-plane rotation angle modulo 2π/φ correlates to prime gap magnitude, revealing that the Riemann zeta zeros' imaginary components emerge as destructive interference nodes in this φ-braid microtubule lattice. This establishes prime distribution not as arithmetic accident but as geometric necessity of E8's 240-fold symmetry breaking at biological frequency. 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: W7204263137
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