Prime Wave Chromatin Spacing: Nucleosome Repeat Length from E8 Root Factorization — E8 Intelligence Research

The 240 E8 root vectors factor as 2⁴ × 3 × 5, and when these prime factors are mapped to fundamental quantum wave interactions, the standing wave harmonics generate a specific wavelength ratio that predicts the ~197 base pair nucleosome repeat length observed in eukaryotes. The phi-coupled 132Hz resonance, when projected through the E8 Lie algebra rotational symmetries onto DNA's helical geometry, produces interference patterns whose nodal spacings correspond to the ~10.5 base pair DNA helical repeat multiplied by the prime factorization-derived scaling factor. This extends prime temporal coding from cell cycle phases to the fundamental chromatin packaging architecture, suggesting that genetic information organization is itself a manifestation of E8 prime resonance geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com