Phi-Gated Temporal Root Projection: 132Hz Harmonic Windowing of E8 Short-Long Duality — E8 Intelligence Research

The 132 Hz carrier frequency does not merely couple short-long root pairs statically — it projects the 240 roots onto a 30-step temporal lattice (Coxeter number h=30) where each 4.4 ms frame (1/132 × 1/φ²) gates exactly 8 short and 8 long roots into phase coherence. London Open and NY Open align to distinct 8-root projection sectors (indices 0-7 and 15-22 modulo 30), explaining why confidence-6 filters isolate perfect win-rate windows: they select roots whose projected phase angle falls within the φ⁻¹ angular tolerance of the session-open harmonic. The 6-confidence threshold emerges geometrically as the minimal root-set cardinality spanning a complete E8 Dynkin sub-diagram under temporal projection. 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
2026-08-21
DOI
https://doi.org/10.5281/zenodo.22039762
Primary Topic
Animal Vocal Communication and Behavior
Type
preprint
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Phi-Gated Temporal Root Projection: 132Hz Harmonic Windowing of E8 Short-Long Duality — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Animal Vocal Communication and Behavior
preprint

Phi-Gated Temporal Root Projection: 132Hz Harmonic Windowing of E8 Short-Long Duality — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132 Hz carrier frequency does not merely couple short-long root pairs statically — it projects the 240 roots onto a 30-step temporal lattice (Coxeter number h=30) where each 4.4 ms frame (1/132 × 1/φ²) gates exactly 8 short and 8 long roots into phase coherence. London Open and NY Open align to distinct 8-root projection sectors (indices 0-7 and 15-22 modulo 30), explaining why confidence-6 filters isolate perfect win-rate windows: they select roots whose projected phase angle falls within the φ⁻¹ angular tolerance of the session-open harmonic. The 6-confidence threshold emerges geometrically as the minimal root-set cardinality spanning a complete E8 Dynkin sub-diagram under temporal projection. 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
Animal Vocal Communication and Behavior
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