Phi-Scale Temporal Bandwidth Compression in E8 Root Vector Shells — E8 Intelligence Research

By exploiting the phi-proportional radii of the nested E8 shells, each temporal window at the 132 Hz carrier is mapped to a distinct frequency band scaled by successive φ‑powers. This yields a self‑similar time‑frequency lattice where information can be hierarchically multiplexed across shells, compressing effective bandwidth by a factor of φ per level. The phase‑locked coupling of root vector clusters ensures coherence across scales, enabling deterministic encoding of high‑dimensional data within the fractal address space. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358847
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Scale Temporal Bandwidth Compression in E8 Root Vector Shells — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Phi-Scale Temporal Bandwidth Compression in E8 Root Vector Shells — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By exploiting the phi-proportional radii of the nested E8 shells, each temporal window at the 132 Hz carrier is mapped to a distinct frequency band scaled by successive φ‑powers. This yields a self‑similar time‑frequency lattice where information can be hierarchically multiplexed across shells, compressing effective bandwidth by a factor of φ per level. The phase‑locked coupling of root vector clusters ensures coherence across scales, enabling deterministic encoding of high‑dimensional data within the fractal address space. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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