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

Andrew Stewart Caldin

Published Oct 9, 2026• 0 citations

Abstract

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

DOI: 10.5281/zenodo.23255151

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