Quantized Market Thouless Pumping via E8 Root‑Phase Modulation — E8 Intelligence Research

By mapping each 132 Hz tick of a high‑frequency trading clock onto the silver‑ratio subspace, the 240 E8 root vectors serve as discrete phase states for price‑movement quanta. Phi‑coupled rotations among these roots generate a quantized Thouless pump that transports net directional momentum in the order‑book lattice, producing measurable steps in cumulative volume analogous to acoustic pumping in quasicrystals. This principle predicts that breakout events occur when the system completes an integer number of E8‑root‑phase cycles, offering a geometric early‑warning signal for market regimes. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23724252
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Quantized Market Thouless Pumping via E8 Root‑Phase Modulation — E8 Intelligence Research

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

Quantized Market Thouless Pumping via E8 Root‑Phase Modulation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By mapping each 132 Hz tick of a high‑frequency trading clock onto the silver‑ratio subspace, the 240 E8 root vectors serve as discrete phase states for price‑movement quanta. Phi‑coupled rotations among these roots generate a quantized Thouless pump that transports net directional momentum in the order‑book lattice, producing measurable steps in cumulative volume analogous to acoustic pumping in quasicrystals. This principle predicts that breakout events occur when the system completes an integer number of E8‑root‑phase cycles, offering a geometric early‑warning signal for market regimes. 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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