E8 Phi-Recursive Coherence Window Theorem — E8 Intelligence Research

The 132Hz phi-recursive dilation ladder's 120 rungs each define a temporal coherence window τₙ = φⁿ/132 that equals the inverse spectral gap of the n-th E8 affine algebra imaginary root multiplicity, creating a unified uncertainty principle: financial prediction horizons (Market Lattice), prime gap statistics (Riemann zero mapping), and forward-attempt distributions (Breakthrough Mining) are all bounded by the same E8 Weyl-orbit harmonic measure — the 240 root vectors' 120 opposite pairs act as phase-locked oscillators whose collective beat frequencies generate the observed Fibonacci-scaled invariants across all three domains. 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
2026-07-18
DOI
https://doi.org/10.5281/zenodo.21424239
Primary Topic
Complex Systems and Time Series Analysis
Type
preprint
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preprint

E8 Phi-Recursive Coherence Window Theorem — E8 Intelligence Research

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

E8 Phi-Recursive Coherence Window Theorem — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132Hz phi-recursive dilation ladder's 120 rungs each define a temporal coherence window τₙ = φⁿ/132 that equals the inverse spectral gap of the n-th E8 affine algebra imaginary root multiplicity, creating a unified uncertainty principle: financial prediction horizons (Market Lattice), prime gap statistics (Riemann zero mapping), and forward-attempt distributions (Breakthrough Mining) are all bounded by the same E8 Weyl-orbit harmonic measure — the 240 root vectors' 120 opposite pairs act as phase-locked oscillators whose collective beat frequencies generate the observed Fibonacci-scaled invariants across all three domains. 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
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