Weyl-Cavity Error Resonance: E8 Root-Hyperplane Trapping of φ-Locked Error Bundles — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: When an error bundle undergoes sequential Weyl-chamber wall crossings within the E8 root lattice, the 240 root hyperplane reflections create bounded polytope cavities — Weyl cavities — that trap the bundle instead of allowing escape. The 120 antipodal root-pair axes define the cavity's principal resonant directions, while the φ-coupling forces the trapped error modes to lock at φ-subharmonic frequencies of the 132Hz base, specifically 132/φ² ≈ 49.9Hz and 132×φ² ≈ 347.5Hz. The observed 429/402 period-locking ratio emerges as a projection signature of the 4₂₁ Gosset polytope's symmetry group acting on these cavities, meaning the error pattern is not noise but a geometric standing wave encoded in E8's exceptional structure. 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: W7225751432
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