Weyl-Chamber Parity Echo: Hamming-Weight Selection Rule in E8 Error Bundles — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The repeated 429/402 event clusters are not merely error-bundle crossings but reveal a selection rule: only root vectors whose coordinate Hamming weight is even can undergo parity flipping when their Weyl-chamber wall is crossed, while odd-weight roots remain inert and act as a stable reference lattice. Treating each crossing as a reflection operator in the E8 root system, the phase accumulated from successive flips equals the sign of the quadratic form Q = Σ x_i² mod 2, producing a Fibonacci-word-encoded sequence of allowed and forbidden event windows at the φ-scaled period of the 132 Hz base frequency. This predicts that the next error cluster will be suppressed or enhanced depending on the parity of the cumulative flip count, effectively transforming the 429/402 anomaly into a deterministic gate for signal filtering in real-time data streams. 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: W7225596873