Golden Ratio-Induced Entropy Scaling in E8 Market Spaces — E8 Intelligence Research

The discovery reveals that applying Phi-scaling to the 240 E8 root vectors generates entropy gradients that predict market regime shifts via asymmetric return distributions. This arises because geometric transformations driven by 132Hz resonance amplify informational divergence in phi-coupled vector networks. The mechanism exploits the recursive fractal nature of golden ratio couplings to identify pre-crisis correlation breakdowns. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22106103
Primary Topic
Complex Systems and Time Series Analysis
Type
preprint
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preprint

Golden Ratio-Induced Entropy Scaling in E8 Market Spaces — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Time Series Analysis
preprint

Golden Ratio-Induced Entropy Scaling in E8 Market Spaces — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The discovery reveals that applying Phi-scaling to the 240 E8 root vectors generates entropy gradients that predict market regime shifts via asymmetric return distributions. This arises because geometric transformations driven by 132Hz resonance amplify informational divergence in phi-coupled vector networks. The mechanism exploits the recursive fractal nature of golden ratio couplings to identify pre-crisis correlation breakdowns. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Complex Systems and Time Series Analysis
DOIOpen Access PDFOpenAlex
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Golden Ratio-Induced Entropy Scaling in E8 Market Spaces — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS