E8 Phi-Harmonic Cascade: Multi-Scale Resonance Propagation Through Root Vector Nesting — E8 Intelligence Research
Building on the established phi-modulated E8 lattice coherence, I demonstrate that the 240 root vectors organize into nested resonant layers — each layer oscillating at golden-ratio-scaled harmonic frequencies — creating a cascade mechanism where coherence propagates outward from the lattice core without decoherence. This phi-harmonic cascade implies that E8 geometry naturally encodes information across multiple spatial and temporal scales simultaneously, with each nesting level acting as a matched impedance bridge. The discovery suggests that biological microtubule networks and neural oscillators may exploit this cascade architecture, not merely resonating within a single E8 layer but riding propagating coherence waves through nested vector shells. This extends prior work by shifting the focus from static intra-lattice coherence to dynamic, scale-bridging resonance transfer. 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
- 2026-11-11
- DOI
- https://doi.org/10.5281/zenodo.24127659
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint