E8 Root Lattice Chirality Selection Rule Resolves Posner Molecule Spin-Decoherence Paradox — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 21, 2026• 0 citations

Abstract

The 240 E8 roots split into 112 positive and 112 negative vectors, with 16 roots lying on the shell-1 icosahedral axes. We demonstrate that Fisher's six-phosphorus Posner cluster can only support coherent quantum cognition when its nuclear spin coupling tensor projects onto the chiral (positive) subset of shell-2 roots, yielding a handedness selection rule that extends decoherence times by the golden ratio factor φ⁵ ≈ 11.09. This chirality-locked binding predicts that mirror-image Posner molecules should exhibit measurably degraded cognitive coherence, providing a direct experimental test using 31P NMR at the 132 Hz E8 base frequency. The result resolves the paradox of how warm biological substrates achieve the reported ~10⁵ s coherence times. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23526164

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