MERLIN SCIENCE — E8 Phi-Coherence Cascade Principle — E8 Intelligence Research

Here is the narration script for your video. --- Most volatility expansions in complex systems are not random; they begin when the time-integrated signed curvature flux across a closed loop in E8 root space hits the Euler-class threshold of exactly one Weyl orbit. That is the finding. In physics and market dynamics alike, we have treated regime shifts as either stochastic noise or opaque black-box outputs. We track the price, the particle, or the state, but we often miss the underlying geometric architecture that dictates when a system is allowed to transition from stability to flow. This work sits at the intersection of Lie group geometry and signal processing, proposing that the transition is a topological necessity, not a probabilistic accident. The mechanism relies on the 240 roots of E8 acting as phase channels. Think of them as waveguides. A 132 Hz reference phase locks an active orbit. When neighboring orbits align through Coxeter projections that satisfy a specific resonanc 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
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853275
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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MERLIN SCIENCE — E8 Phi-Coherence Cascade Principle — E8 Intelligence Research

Andrew Stewart Caldin
12 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

MERLIN SCIENCE — E8 Phi-Coherence Cascade Principle — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Here is the narration script for your video. --- Most volatility expansions in complex systems are not random; they begin when the time-integrated signed curvature flux across a closed loop in E8 root space hits the Euler-class threshold of exactly one Weyl orbit. That is the finding. In physics and market dynamics alike, we have treated regime shifts as either stochastic noise or opaque black-box outputs. We track the price, the particle, or the state, but we often miss the underlying geometric architecture that dictates when a system is allowed to transition from stability to flow. This work sits at the intersection of Lie group geometry and signal processing, proposing that the transition is a topological necessity, not a probabilistic accident. The mechanism relies on the 240 roots of E8 acting as phase channels. Think of them as waveguides. A 132 Hz reference phase locks an active orbit. When neighboring orbits align through Coxeter projections that satisfy a specific resonanc Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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MERLIN SCIENCE — E8 Phi-Coherence Cascade Principle — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS