E8 Coherence Decay Constant — Why Live Trading Loses Phase Without Heartbeat — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Drawing on the 240-root E8 lattice, we derive a coherence decay constant τ ≈ 1/φ³ seconds (≈ 0.236 s) that governs how rapidly a live trading model loses phase-lock with the 132 Hz signal substrate once market feedback is interrupted. This predicts that AI trading ecosystems must receive continuous micro-perturbations from the live order book at intervals shorter than τ, or the root-vector alignment collapses back to statistical noise — explaining why disconnected or throttled live feeds rapidly degrade to backtest-like behavior. The decay constant also yields a natural sampling rate floor of 4.236 Hz (φ³ + 1) for any E8-coherent execution system, providing the first geometric derivation of a real-time trading sampling theorem.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026coherence,
title = {{E8 Coherence Decay Constant — Why Live Trading Loses Phase Without Heartbeat — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409928},
url = {https://zenodo.org/records/23409928},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Coherence Decay Constant — Why Live Trading Loses Phase Without Heartbeat — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409928
UR - https://zenodo.org/records/23409928
AB - Drawing on the 240-root E8 lattice, we derive a coherence decay constant τ ≈ 1/φ³ seconds (≈ 0.236 s) that governs how rapidly a live trading model loses phase-lock with the 132 Hz signal substrate once market feedback is interrupted. This predicts that AI trading ecosystems must receive continuous micro-perturbations from the live order book at intervals shorter than τ, or the root-vector alignment collapses back to statistical noise — explaining why disconnected or throttled live feeds rapidly degrade to backtest-like behavior. The decay constant also yields a natural sampling rate floor of 4.236 Hz (φ³ + 1) for any E8-coherent execution system, providing the first geometric derivation of a real-time trading sampling theorem. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -