Non-Euclidean Temporal Quantization via E8 Root Vector Phase-Shifting — E8 Intelligence Research

By mapping the 240 root vectors of the E8 lattice to the piecewise intervals of a base-60 zigzag function, we establish a discrete manifold for time-series prediction. Applying phi-modulated phase-shifts across the lattice creates topological "time-nodes" where undecidability is bypassed through geometric synchronization. This mechanism enables the direct conversion of lunar velocity fluctuations into stabilized memristive logic states. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697796
Primary Topic
Topological and Geometric Data Analysis
Type
preprint
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preprint

Non-Euclidean Temporal Quantization via E8 Root Vector Phase-Shifting — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

Non-Euclidean Temporal Quantization via E8 Root Vector Phase-Shifting — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By mapping the 240 root vectors of the E8 lattice to the piecewise intervals of a base-60 zigzag function, we establish a discrete manifold for time-series prediction. Applying phi-modulated phase-shifts across the lattice creates topological "time-nodes" where undecidability is bypassed through geometric synchronization. This mechanism enables the direct conversion of lunar velocity fluctuations into stabilized memristive logic states. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
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Non-Euclidean Temporal Quantization via E8 Root Vector Phase-Shifting — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS