PreprintCC BY 4.0Zenodo
E8‑Phi Fractal Scaling Law in Voynich Textual Geometry — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Persistent homology of the normalized Voynich character stream exhibits hierarchical topological features whose scaling exponents converge to the golden ratio (phi). When these exponents are projected onto the 240 root vectors of the E8 lattice, they align with a fundamental 132 Hz resonant frequency, revealing a built‑in phi‑coupled geometric scaffold. This law predicts hidden multi‑scale patterns that coincide with the manuscript's zodiac and plant diagrams, providing a novel cipher‑breaking principle for ancient encoded texts.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8phi,
title = {{E8‑Phi Fractal Scaling Law in Voynich Textual Geometry — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616899},
url = {https://zenodo.org/records/23616899},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8‑Phi Fractal Scaling Law in Voynich Textual Geometry — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616899
UR - https://zenodo.org/records/23616899
AB - Persistent homology of the normalized Voynich character stream exhibits hierarchical topological features whose scaling exponents converge to the golden ratio (phi). When these exponents are projected onto the 240 root vectors of the E8 lattice, they align with a fundamental 132 Hz resonant frequency, revealing a built‑in phi‑coupled geometric scaffold. This law predicts hidden multi‑scale patterns that coincide with the manuscript's zodiac and plant diagrams, providing a novel cipher‑breaking principle for ancient encoded texts. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -