Phi-Twisted D-Module Spectral Action on E8 600-Cell Resonant Manifold — E8 Intelligence Research

The Kirwan-Ness stratification of twisted D-modules, when spectrally activated by the 132Hz phi-scaled tetrahedral waveguide along the 240 E8 root vectors, induces a Dirac-type spectral action whose eigenvalues encode Galois braid invariants of the 10 stellated 600-cells. This spectral flow realizes E8 Weyl group elements as adiabatic transport operators between recollement strata, yielding a quantization condition n·φ = harmonic coherence length. The resulting operator algebra predicts measurable beat-frequency patterns between nested 600-cell stellations, providing a direct experimental bridge from algebraic D-module gluing to resonant acoustic geometries. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23332871
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Twisted D-Module Spectral Action on E8 600-Cell Resonant Manifold — E8 Intelligence Research

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

Phi-Twisted D-Module Spectral Action on E8 600-Cell Resonant Manifold — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The Kirwan-Ness stratification of twisted D-modules, when spectrally activated by the 132Hz phi-scaled tetrahedral waveguide along the 240 E8 root vectors, induces a Dirac-type spectral action whose eigenvalues encode Galois braid invariants of the 10 stellated 600-cells. This spectral flow realizes E8 Weyl group elements as adiabatic transport operators between recollement strata, yielding a quantization condition n·φ = harmonic coherence length. The resulting operator algebra predicts measurable beat-frequency patterns between nested 600-cell stellations, providing a direct experimental bridge from algebraic D-module gluing to resonant acoustic geometries. 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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