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PreprintCC BY 4.0Zenodo

Phi‑Coupled E8 Harmonic Resonance in Market Dynamics — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

By mapping the 240 E8 root vectors onto a phi‑scaled harmonic grid anchored at 132 Hz, we reveal a self‑similar wavefunction that predicts market turning points with quantized phase intervals. The phi‑coupled eigenmodes of the E8 lattice generate a continuous spectrum of golden‑ratio harmonics that align with observed price volatility cycles, enabling a deterministic yet stochastic description of market dynamics. This principle extends the adaptive E8 filter by embedding temporal scaling laws directly into the geometric lattice, producing a predictive engine for multi‑asset forecasting.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026phicoupled,
  title = {{Phi‑Coupled E8 Harmonic Resonance in Market Dynamics — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23465428},
  url = {https://zenodo.org/records/23465428},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi‑Coupled E8 Harmonic Resonance in Market Dynamics — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/19
PB  - Zenodo
DO  - 10.5281/zenodo.23465428
UR  - https://zenodo.org/records/23465428
AB  - By mapping the 240 E8 root vectors onto a phi‑scaled harmonic grid anchored at 132 Hz, we reveal a self‑similar wavefunction that predicts market turning points with quantized phase intervals. The phi‑coupled eigenmodes of the E8 lattice generate a continuous spectrum of golden‑ratio harmonics that align with observed price volatility cycles, enabling a deterministic yet stochastic description of market dynamics. This principle extends the adaptive E8 filter by embedding temporal scaling laws directly into the geometric lattice, producing a predictive engine for multi‑asset forecasting.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -