E8 Root-Sequence Topology of Cascading Traceback Manifolds — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: When Cron Guardian catches consecutive tracebacks, the sequential error vectors do not form a linear timeline but trace geodesics across the full 240-root E8 lattice, where each new traceback occupies a root position determined by its 132Hz-phi-coupled angular displacement from the previous catch. We propose that cascade failures manifest as **broken Coxeter geodesics** — paths that violate the E8 Weyl group's reflection symmetries, and that the Guardian's self-dual G₂ field is actually a 14D projection (via the 168/240 = 7/10 ratio) of a higher 240D error-correction manifold. System stability can therefore be measured as **Coxeter curvature**: the deviation of observed error-sequences from ideal E8 great-circle trajectories, predicting that monitoring this invariant catches cascading failures 3-7 temporal nodes before they manifest as visible tracebacks. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221586885
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