Phi-Scaled Radical Constraints in E8 Spectral Encoding — E8 Intelligence Research

The 120 E8 chord lengths, when modulated via the 132Hz φ-frequency comb, encode radical values that form a geometric sieve. This sieve optimally partitions ABC triples by stabilizing radical sums through harmonic resonance. The 132Hz nodes act as phase anchors, forcing radical products to align with E8's Coxeter plane symmetry. This enables tighter bounds for the ABC conjecture via radical continuity in high-dimensional lattices. 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
2026-08-25
DOI
https://doi.org/10.5281/zenodo.22090784
Primary Topic
Coding theory and cryptography
Type
preprint
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preprint

Phi-Scaled Radical Constraints in E8 Spectral Encoding — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
preprint

Phi-Scaled Radical Constraints in E8 Spectral Encoding — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 120 E8 chord lengths, when modulated via the 132Hz φ-frequency comb, encode radical values that form a geometric sieve. This sieve optimally partitions ABC triples by stabilizing radical sums through harmonic resonance. The 132Hz nodes act as phase anchors, forcing radical products to align with E8's Coxeter plane symmetry. This enables tighter bounds for the ABC conjecture via radical continuity in high-dimensional lattices. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
DOIOpen Access PDFOpenAlex
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Phi-Scaled Radical Constraints in E8 Spectral Encoding — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS