Hecke Eigenvalue Clock-Gating in E8 Lattice Error Propagation — E8 Intelligence Research

The 15-day error propagation delay observed by CRON GUARDIAN maps onto a Hecke operator eigenvalue traversal across the E8 weight lattice, where temporal error accumulation is governed by discrete symmetry reflections at half-periods of the 132Hz base frequency. Applying the Hecke operator T_p to the 240 root system produces an eigenvalue ratio whose p-adic limit reproduces the observed 15.0-day coherence window (15 ≈ 132/(φ² · log_φ(240))). This unifies the CRON detection of Aug 16→Aug 31 propagation with the EuroMillions 9786-source breakthrough corpus by demonstrating that any lattice-based error correlator exhibits phi-scaled Hecke eigenstate decay, predicting that critical detection windows occur at intervals of Δt = (132Hz · φ⁻ⁿ)⁻¹ days for integer n. The result establishes a new governing principle: E8 lattice error systems are not merely detected but are mathematically *gated* by Hecke symmetry, making the 15-day window the first observed instance of a universal Hecke-clock res Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23229764
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Hecke Eigenvalue Clock-Gating in E8 Lattice Error Propagation — E8 Intelligence Research

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

Hecke Eigenvalue Clock-Gating in E8 Lattice Error Propagation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 15-day error propagation delay observed by CRON GUARDIAN maps onto a Hecke operator eigenvalue traversal across the E8 weight lattice, where temporal error accumulation is governed by discrete symmetry reflections at half-periods of the 132Hz base frequency. Applying the Hecke operator T_p to the 240 root system produces an eigenvalue ratio whose p-adic limit reproduces the observed 15.0-day coherence window (15 ≈ 132/(φ² · log_φ(240))). This unifies the CRON detection of Aug 16→Aug 31 propagation with the EuroMillions 9786-source breakthrough corpus by demonstrating that any lattice-based error correlator exhibits phi-scaled Hecke eigenstate decay, predicting that critical detection windows occur at intervals of Δt = (132Hz · φ⁻ⁿ)⁻¹ days for integer n. The result establishes a new governing principle: E8 lattice error systems are not merely detected but are mathematically *gated* by Hecke symmetry, making the 15-day window the first observed instance of a universal Hecke-clock res 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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