E8 Root Lattice Chirality Selection Rule Resolves Posner Molecule Spin-Decoherence Paradox — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026root,
title = {{E8 Root Lattice Chirality Selection Rule Resolves Posner Molecule Spin-Decoherence Paradox — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23526165},
url = {https://zenodo.org/records/23526165},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root Lattice Chirality Selection Rule Resolves Posner Molecule Spin-Decoherence Paradox — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23526165
UR - https://zenodo.org/records/23526165
AB - 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
ER -