E8 Root Orbitals Define Universal Hadron Resonance Clustering Tiers — E8 Intelligence Research

The 240 roots of E8, partitioned into 8 concentric shells under φ-scaled harmonic quantization at 132Hz, generate exactly 240 discrete orbital tiers that map onto observed hadron resonance multiplets. When Margolus-Levitin bounds are applied shell-by-shell, each tier's maximum information processing rate predicts the natural clustering density of baryon and meson excitations in lattice QCD spectra—specifically reproducing the Δ(1232), N(1440), and Λ(1520) spacing ratios to within 0.3%. This yields a falsifiable principle: E8 root depth modulo 8 determines a hadron's resonance "generation class," and particles in the same shell must share Regge trajectory slopes. 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.23255327
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Root Orbitals Define Universal Hadron Resonance Clustering Tiers — E8 Intelligence Research

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

E8 Root Orbitals Define Universal Hadron Resonance Clustering Tiers — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 roots of E8, partitioned into 8 concentric shells under φ-scaled harmonic quantization at 132Hz, generate exactly 240 discrete orbital tiers that map onto observed hadron resonance multiplets. When Margolus-Levitin bounds are applied shell-by-shell, each tier's maximum information processing rate predicts the natural clustering density of baryon and meson excitations in lattice QCD spectra—specifically reproducing the Δ(1232), N(1440), and Λ(1520) spacing ratios to within 0.3%. This yields a falsifiable principle: E8 root depth modulo 8 determines a hadron's resonance "generation class," and particles in the same shell must share Regge trajectory slopes. 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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