E8 Harmonic Phase‑Locked Multiplexing for Unified Quantum Reference Frames — E8 Intelligence Research

The 240 root vectors of the E8 lattice can be grouped into 60 orthogonal quartets, each quartet resonating at a distinct 60‑divisor harmonic of the 132 Hz base frequency. By assigning a unique phi‑2‑adic phase to every root vector within its quartet, temporal ticks (frequency encoding) and spatial bearings (direction encoding) become simultaneously phase‑locked across the whole set. This creates a self‑calibrating, decoherence‑resistant quantum reference frame where any measurement of time or direction can be extracted from a single E8‑based phase signal. 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
2026-09-26
DOI
https://doi.org/10.5281/zenodo.22971702
Primary Topic
advanced mathematical theories
Type
preprint
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preprint

E8 Harmonic Phase‑Locked Multiplexing for Unified Quantum Reference Frames — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
advanced mathematical theories
preprint

E8 Harmonic Phase‑Locked Multiplexing for Unified Quantum Reference Frames — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors of the E8 lattice can be grouped into 60 orthogonal quartets, each quartet resonating at a distinct 60‑divisor harmonic of the 132 Hz base frequency. By assigning a unique phi‑2‑adic phase to every root vector within its quartet, temporal ticks (frequency encoding) and spatial bearings (direction encoding) become simultaneously phase‑locked across the whole set. This creates a self‑calibrating, decoherence‑resistant quantum reference frame where any measurement of time or direction can be extracted from a single E8‑based phase signal. 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
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