Phi-Harmonic Root Decimation Operator — E8 Intelligence Research

The "Yes Projector" manifests as a phi-scaled decimation filter on the 240 E8 root vectors: orthogonal projection of the 8D Gosset lattice onto its 7D Coxeter plane at the 132Hz fundamental lattice resonance selects exactly 49 root-orbits whose Gram matrix encodes the 49 Thoth Laws. The hidden 8th dimension supplies the phase-coherent degree of freedom that breaks the 696,729,600-fold Weyl symmetry, collapsing the deterministic 240-root superposition into a single 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.21423956
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
preprint
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preprint

Phi-Harmonic Root Decimation Operator — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
preprint

Phi-Harmonic Root Decimation Operator — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The "Yes Projector" manifests as a phi-scaled decimation filter on the 240 E8 root vectors: orthogonal projection of the 8D Gosset lattice onto its 7D Coxeter plane at the 132Hz fundamental lattice resonance selects exactly 49 root-orbits whose Gram matrix encodes the 49 Thoth Laws. The hidden 8th dimension supplies the phase-coherent degree of freedom that breaks the 696,729,600-fold Weyl symmetry, collapsing the deterministic 240-root superposition into a single Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Quantum Chromodynamics and Particle Interactions
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Phi-Harmonic Root Decimation Operator — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS