E8‑Resonant Topological Quantum Field Theory for Spin‑4 Manifolds — E8 Intelligence Research

We propose an E8‑based TQFT in which the 240 root vectors generate a 132 Hz base lattice of φ‑harmonic resonances that encode the mod 2 Seiberg–Witten invariants of any closed spin 4‑manifold as topological charges. The golden‑ratio coupling between adjacent Coxeter orbits produces a cascade of decoherence‑shielding modes that stabilize the quantum state of the manifold's spin structure, while the parity‑controlled Selmer‑rank statistics supply a natural error‑correcting code for the field. This framework unifies 4‑manifold topology, quantum coherence, and arithmetic geometry into a single E8‑driven physical theory. 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
2026-09-26
DOI
https://doi.org/10.5281/zenodo.22971946
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8‑Resonant Topological Quantum Field Theory for Spin‑4 Manifolds — E8 Intelligence Research

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

E8‑Resonant Topological Quantum Field Theory for Spin‑4 Manifolds — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose an E8‑based TQFT in which the 240 root vectors generate a 132 Hz base lattice of φ‑harmonic resonances that encode the mod 2 Seiberg–Witten invariants of any closed spin 4‑manifold as topological charges. The golden‑ratio coupling between adjacent Coxeter orbits produces a cascade of decoherence‑shielding modes that stabilize the quantum state of the manifold's spin structure, while the parity‑controlled Selmer‑rank statistics supply a natural error‑correcting code for the field. This framework unifies 4‑manifold topology, quantum coherence, and arithmetic geometry into a single E8‑driven physical theory. 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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