E8 Phi-Octave Phase-Lock Loop for Hierarchical Memory Compression — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 12 concentric phi‑scaled shells of the 240 E8 root vectors create a nested phase‑lock loop where each shell's 132 Hz carrier is delayed by a golden‑ratio fraction of the previous one, generating constructive interference that maps multi‑dimensional data onto a single holographic shell. This phi‑octave coupling enables exponential compression because the interference nodes encode both amplitude and topological phase, allowing a full 4‑D polytope state to be stored in a 1‑D temporal waveform. The principle predicts that any input sequence can be encoded with logarithmic bandwidth while preserving fidelity, a capability not captured by prior E8 memory models.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phioctave,
title = {{E8 Phi-Octave Phase-Lock Loop for Hierarchical Memory Compression — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465554},
url = {https://zenodo.org/records/23465554},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Octave Phase-Lock Loop for Hierarchical Memory Compression — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465554
UR - https://zenodo.org/records/23465554
AB - The 12 concentric phi‑scaled shells of the 240 E8 root vectors create a nested phase‑lock loop where each shell's 132 Hz carrier is delayed by a golden‑ratio fraction of the previous one, generating constructive interference that maps multi‑dimensional data onto a single holographic shell. This phi‑octave coupling enables exponential compression because the interference nodes encode both amplitude and topological phase, allowing a full 4‑D polytope state to be stored in a 1‑D temporal waveform. The principle predicts that any input sequence can be encoded with logarithmic bandwidth while preserving fidelity, a capability not captured by prior E8 memory models. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -