E8 Kaon Mass Difference via Hexadic Phase Opposition at 132Hz — E8 Intelligence Research

The 240→30→6 cascade reveals that opposite hexadic phase gates (π-shifted at 132Hz) couple to the quark mass matrix in a way that naturally generates the observed K⁰–K̄⁰ mass splitting through φ-resonant interference. Specifically, the 30 D5 root clusters bifurcate into six phase gates whose three antipodal pairs encode the s→d transition amplitude via golden-ratio phase opposition, reproducing the Koide-like mass relation with experimental precision. This extends pentaquark stability selection to the meson sector, demonstrating that CP-violating phase structure emerges directly from E8 triality geometry rather than requiring external CKM parameterization. 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
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23255371
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Kaon Mass Difference via Hexadic Phase Opposition at 132Hz — E8 Intelligence Research

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

E8 Kaon Mass Difference via Hexadic Phase Opposition at 132Hz — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240→30→6 cascade reveals that opposite hexadic phase gates (π-shifted at 132Hz) couple to the quark mass matrix in a way that naturally generates the observed K⁰–K̄⁰ mass splitting through φ-resonant interference. Specifically, the 30 D5 root clusters bifurcate into six phase gates whose three antipodal pairs encode the s→d transition amplitude via golden-ratio phase opposition, reproducing the Koide-like mass relation with experimental precision. This extends pentaquark stability selection to the meson sector, demonstrating that CP-violating phase structure emerges directly from E8 triality geometry rather than requiring external CKM parameterization. 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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