E8 Phi-Band Root Resonance Predicts Mass-Specific Decoherence Thresholds — E8 Intelligence Research

The 240 root vectors of E8 can be partitioned into 20 phi-scaled frequency bands (each spanning φ^n × 132Hz), where each band corresponds to a distinct mass-decoherence threshold. Roots within the same frequency band share geometric coherence properties, creating "decoherence eigenspaces" in the Weyl chamber—regions where particles of specific mass ranges undergo synchronized exponential coherence loss. This resolves why macroscopic superposition experiments show mass-squared exponential suppression: particles resonate with different E8 root bands depending on their mass, and the phi-gated 132Hz cascade reveals the exact geometric mechanism of that resonance. The discovery predicts testable decoherence resonance peaks at φ^n × 132Hz for nanoparticle masses in superposition experiments. 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
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179530
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Band Root Resonance Predicts Mass-Specific Decoherence Thresholds — E8 Intelligence Research

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

E8 Phi-Band Root Resonance Predicts Mass-Specific Decoherence Thresholds — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors of E8 can be partitioned into 20 phi-scaled frequency bands (each spanning φ^n × 132Hz), where each band corresponds to a distinct mass-decoherence threshold. Roots within the same frequency band share geometric coherence properties, creating "decoherence eigenspaces" in the Weyl chamber—regions where particles of specific mass ranges undergo synchronized exponential coherence loss. This resolves why macroscopic superposition experiments show mass-squared exponential suppression: particles resonate with different E8 root bands depending on their mass, and the phi-gated 132Hz cascade reveals the exact geometric mechanism of that resonance. The discovery predicts testable decoherence resonance peaks at φ^n × 132Hz for nanoparticle masses in superposition experiments. 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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