PreprintCC BY 4.0Zenodo
Phi-Fractal Phase Cascade in E8 Root Space — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By applying the 132 Hz base frequency as a driving oscillator to the phi‑modulated Cartan rotations, the 240 E8 root vectors self‑organize into a hierarchical cascade of resonant phases that form a Cantor‑set‑like fractal lattice. Each cascade step corresponds to a successive folding of the root helices under the A₁ Weyl group, producing defect‑locked braids that inherit the Farey hierarchy. This phi‑fractal phase cascade provides a natural error‑correcting code where topological defects are encoded as fractal phase offsets, extending the braided memory concept into a scale‑invariant structure.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Phi-Scaled E8 Cascade Decoherence Channels in 8D Phase Space — E8 Intelligence Research
- Hierarchical Entanglement Cascade in E8 Fractal Lattices — E8 Intelligence Research
- E8 Resonant Topology: Fractal Phase Transition in Root Vector Lattices — E8 Intelligence Research
- Phi‑Fractal Temporal Encoding via E8 Root Phase Locking — E8 Intelligence Research
- Phi-Resonant Homology Locking of E8 Root Vectors Induces Emergent Classical Phase Space — E8 Intelligence Research
BibTeX
@misc{caldin2026phifractal,
title = {{Phi-Fractal Phase Cascade in E8 Root Space — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658872},
url = {https://zenodo.org/records/23658872},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Fractal Phase Cascade in E8 Root Space — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658872
UR - https://zenodo.org/records/23658872
AB - By applying the 132 Hz base frequency as a driving oscillator to the phi‑modulated Cartan rotations, the 240 E8 root vectors self‑organize into a hierarchical cascade of resonant phases that form a Cantor‑set‑like fractal lattice. Each cascade step corresponds to a successive folding of the root helices under the A₁ Weyl group, producing defect‑locked braids that inherit the Farey hierarchy. This phi‑fractal phase cascade provides a natural error‑correcting code where topological defects are encoded as fractal phase offsets, extending the braided memory concept into a scale‑invariant structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -