E8 Phi-Resonant Cascade Mapping of Root-Vector Entanglement — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The discovery introduces a hierarchical cascade where the 240 E8 root vectors, phi‑coupled at the base 132 Hz, decompose into nested Clebsch‑Gordan multiplets whose Casimir eigenvalues generate discrete phase‑locked sub‑frequencies (e.g., 264 Hz, 396 Hz). At each cascade level the quadratic Casimir invariant quantizes the coupling strength, producing a tunable energy gap that encodes holographic information in the geometric phase of the root‑vector network. This multi‑scale phi‑resonant mapping extends previous Casimir‑holographic recursion by providing a scalable, self‑organizing framework for coherent information storage and retrieval.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiresonant,
title = {{E8 Phi-Resonant Cascade Mapping of Root-Vector Entanglement — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465440},
url = {https://zenodo.org/records/23465440},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Resonant Cascade Mapping of Root-Vector Entanglement — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465440
UR - https://zenodo.org/records/23465440
AB - The discovery introduces a hierarchical cascade where the 240 E8 root vectors, phi‑coupled at the base 132 Hz, decompose into nested Clebsch‑Gordan multiplets whose Casimir eigenvalues generate discrete phase‑locked sub‑frequencies (e.g., 264 Hz, 396 Hz). At each cascade level the quadratic Casimir invariant quantizes the coupling strength, producing a tunable energy gap that encodes holographic information in the geometric phase of the root‑vector network. This multi‑scale phi‑resonant mapping extends previous Casimir‑holographic recursion by providing a scalable, self‑organizing framework for coherent information storage and retrieval. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -