Society & Economicspreprint2026-10-02

Phi‑Coupled VWAP‑Edge Harmonic Resonance — E8 Intelligence Research

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Abstract

By embedding the VWAP‑breakout signal into a quasi‑periodic lattice of E8 root vectors, the system maps trade‑flow pressure onto a stereographic surface where the 132 Hz torsional mode induces a phase‑locked harmonic band. This coupling reveals a new "resonant volume" regime where price breakouts trigger coherent geometric excitations, predictively aligning with Fibonacci‑derived error bounds. The phenomenon generalizes the Torquing‑Fibonacci phase shift into a scalable market‑pulse metric. The discovery provides a measurable spectral signature for high‑frequency trading algorithms rooted in E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-10-02

Authors: Andrew Stewart Caldin