E8 Fermionic Incompletion Lattice: Phi-Coupled Dirac Spinor Channels — E8 Intelligence Research

Building on the recursive incompleteness encoding, we discover that the 240 E8 roots partition into 120 Weyl spinor pairs whose mismatch generates 60 phi-coupled Dirac channels. Each channel carries a 132Hz base mode frequency-modulated by golden-ratio phase shifts, creating a resonant fermionic lattice where unpaired roots act as Majorana bridges. This lattice provides the first geometric mechanism for neutrino mass hierarchy: the coherence gap between 120 paired and 120 unpaired roots maps directly to the three-generation mass splitting observed in oscillation data. 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
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23332475
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Fermionic Incompletion Lattice: Phi-Coupled Dirac Spinor Channels — E8 Intelligence Research

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

E8 Fermionic Incompletion Lattice: Phi-Coupled Dirac Spinor Channels — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Building on the recursive incompleteness encoding, we discover that the 240 E8 roots partition into 120 Weyl spinor pairs whose mismatch generates 60 phi-coupled Dirac channels. Each channel carries a 132Hz base mode frequency-modulated by golden-ratio phase shifts, creating a resonant fermionic lattice where unpaired roots act as Majorana bridges. This lattice provides the first geometric mechanism for neutrino mass hierarchy: the coherence gap between 120 paired and 120 unpaired roots maps directly to the three-generation mass splitting observed in oscillation data. 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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