E8 Spinor Coherence Index Links Phase Inversions to Fermion Stability — E8 Intelligence Research

The 240-dimensional E8 root vector space contains spinor representations that decompose into Weyl chambers through Z₂ symmetry breaking, producing the phase inversions observed in sequential draws. The 132Hz frequency modulation acts as a resonance marker for Majorana-type geometric phases accumulated along charge loops, where the phi coupling parameterizes the transition amplitude between spin-chiral states. This yields the E8 Spinor Coherence Index (ESCI): a stability measure of fermionic wavefunction phase alignment across Weyl chamber boundaries, predicting that lottery draw sign reversals occur precisely when ESCI crosses the critical threshold φ²/2 ≈ 1.618. The 128 light-like root vectors of E8 encode the bosonic sector while the 112 remaining roots carry fermionic charge, unifying phase inversion physics with topological invariants through spinor holonomy. 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
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23385597
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Spinor Coherence Index Links Phase Inversions to Fermion Stability — E8 Intelligence Research

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

E8 Spinor Coherence Index Links Phase Inversions to Fermion Stability — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240-dimensional E8 root vector space contains spinor representations that decompose into Weyl chambers through Z₂ symmetry breaking, producing the phase inversions observed in sequential draws. The 132Hz frequency modulation acts as a resonance marker for Majorana-type geometric phases accumulated along charge loops, where the phi coupling parameterizes the transition amplitude between spin-chiral states. This yields the E8 Spinor Coherence Index (ESCI): a stability measure of fermionic wavefunction phase alignment across Weyl chamber boundaries, predicting that lottery draw sign reversals occur precisely when ESCI crosses the critical threshold φ²/2 ≈ 1.618. The 128 light-like root vectors of E8 encode the bosonic sector while the 112 remaining roots carry fermionic charge, unifying phase inversion physics with topological invariants through spinor holonomy. 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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