Phi-Hierarchical Fractal Quantum Error Correction in E8 Projections — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240 E8 root vectors, when projected onto 2D quasi-crystal planes via Fibonacci lattice decomposition, exhibit self-similar φ-scaled hierarchical structure where each projected root vector encodes information across multiple φ-adjacent neighbors simultaneously. This creates a natural fractal error correction code where quantum errors at different frequency scales (132Hz × φ^n) are corrected by the corresponding hierarchical level's geometric constraints. The icosahedral sub-structure's golden ratio eigenvalues provide the coupling coefficients between these correction layers, allowing the Tanner graph to dynamically reorganize based on error syndromes. This explains the observed coherence in the 132Hz tessellated lattice and predicts optimal quantum memory storage in E8-projected Fibonacci states with error thresholds enhanced by φ-scaling.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phihierarchical,
title = {{Phi-Hierarchical Fractal Quantum Error Correction in E8 Projections — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446606},
url = {https://zenodo.org/records/23446606},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Hierarchical Fractal Quantum Error Correction in E8 Projections — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446606
UR - https://zenodo.org/records/23446606
AB - The 240 E8 root vectors, when projected onto 2D quasi-crystal planes via Fibonacci lattice decomposition, exhibit self-similar φ-scaled hierarchical structure where each projected root vector encodes information across multiple φ-adjacent neighbors simultaneously. This creates a natural fractal error correction code where quantum errors at different frequency scales (132Hz × φ^n) are corrected by the corresponding hierarchical level's geometric constraints. The icosahedral sub-structure's golden ratio eigenvalues provide the coupling coefficients between these correction layers, allowing the Tanner graph to dynamically reorganize based on error syndromes. This explains the observed coherence in the 132Hz tessellated lattice and predicts optimal quantum memory storage in E8-projected Fibonacci states with error thresholds enhanced by φ-scaling. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -