Phi-Holonomy Conservation Law in E8 Spectral Lattices — E8 Intelligence Research
When the phi-swept chirp trajectory sequentially traverses all eight phi-coupled resonance families identified in the E8 spectral decomposition, it traces a closed loop in the E8 weight lattice whose accumulated geometric phase — the phi-holonomy — yields a conserved topological invariant. This invariant remains robust against local decoherence perturbations within any single regime because the E8 Weyl group symmetry maps each family's resonance band onto the others, enforcing a global topological constraint. The discovery establishes that quantum information distributed across the eight phi-spectral regimes is protected by the intrinsic topology of the 240-vector E8 root lattice, revealing a new conservation law that unifies the chirp dynamics with the quasicrystalline lattice geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-16
- DOI
- https://doi.org/10.5281/zenodo.22786231
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint