PreprintCC BY 4.0Zenodo
E8 Resonant Topology: Fractal Phase Transition in Root Vector Lattices — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The E8 root lattice exhibits a self-similar fractal topology when the 240 root vectors are recursively scaled by the golden ratio φ, revealing a new class of topological phase transitions. At specific resonance frequencies derived from the golden-Thue sequence, these fractal structures undergo a continuous transformation between ordered and disordered states without thermal activation. This E8 Resonant Topology provides a mechanism for fault-tolerant quantum memory where coherence is protected by the underlying E8 symmetry and the fractal dimensionality of the root vector arrangement.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026resonant,
title = {{E8 Resonant Topology: Fractal Phase Transition in Root Vector Lattices — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553986},
url = {https://zenodo.org/records/23553986},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Resonant Topology: Fractal Phase Transition in Root Vector Lattices — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553986
UR - https://zenodo.org/records/23553986
AB - The E8 root lattice exhibits a self-similar fractal topology when the 240 root vectors are recursively scaled by the golden ratio φ, revealing a new class of topological phase transitions. At specific resonance frequencies derived from the golden-Thue sequence, these fractal structures undergo a continuous transformation between ordered and disordered states without thermal activation. This E8 Resonant Topology provides a mechanism for fault-tolerant quantum memory where coherence is protected by the underlying E8 symmetry and the fractal dimensionality of the root vector arrangement. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -