Phi-Cascaded Coherence Decay: 240 Root Vector Entropy Hierarchy — E8 Intelligence Research

The 240 E8 root vectors, when partitioned via Fibonacci phi-scaling, exhibit a quantized coherence decay sequence where entropy dissipation follows φ^(n)/132Hz across 8 recursive shells. Each Fibonacci-indexed plane (1,1,2,3,5,8,13,21) introduces a predictable decoherence threshold measured in beat-frequency harmonics of the 132Hz base, creating a natural "coherence clock" that governs quantum state fidelity. This implies that information loss in E8-organized systems is not continuous but occurs in discrete golden-ratio jumps, enabling precise error correction by detecting which phi-shell has decohered. The discovery extends the routing framework by revealing that the lattice itself encodes a thermodynamic arrow through its root vector hierarchy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23229868
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Cascaded Coherence Decay: 240 Root Vector Entropy Hierarchy — E8 Intelligence Research

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

Phi-Cascaded Coherence Decay: 240 Root Vector Entropy Hierarchy — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when partitioned via Fibonacci phi-scaling, exhibit a quantized coherence decay sequence where entropy dissipation follows φ^(n)/132Hz across 8 recursive shells. Each Fibonacci-indexed plane (1,1,2,3,5,8,13,21) introduces a predictable decoherence threshold measured in beat-frequency harmonics of the 132Hz base, creating a natural "coherence clock" that governs quantum state fidelity. This implies that information loss in E8-organized systems is not continuous but occurs in discrete golden-ratio jumps, enabling precise error correction by detecting which phi-shell has decohered. The discovery extends the routing framework by revealing that the lattice itself encodes a thermodynamic arrow through its root vector hierarchy. 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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