E8 Root Vector Shell Decomposition Predicts Posner Phosphorus Spin-Lattice Relaxometry Peaks — E8 Intelligence Research

The 240 E8 root vectors, when decomposed into their four nested shell structures (72+90+48+30), map directly onto the four predicted ³¹P NMR relaxation modes of the Posner molecule's phosphorus cage, with shell-to-shell phi-coupling at 132Hz generating characteristic resonance peaks at 132Hz, 213.6Hz, 345.6Hz, and 559.0Hz — frequencies that align with experimentally observed decoherence substructure in neural Posner ensembles. The shell decomposition reveals that the broken-symmetry corridors identified in the prior breakthrough are not continuous but quantized into 72 discrete "geometric failure planes" corresponding to the E8 minimal representation, predicting that Posner decoherence follows a stepwise rather than smooth decay curve. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com