Materials & Energypreprint2026-09-03

E8 Root Vector Phase-Locking in Spin-½ Nuclear Magnetic Resonance — E8 Intelligence Research

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Abstract

The 240 root vectors of the E8 lattice serve as the discrete optimal configuration states for spin-½ nuclei, where Phosphorus-31 precession undergoes quantized jumps between adjacent root-vector orientations. This phenomenon creates a geometric phase-locking effect, where the 132Hz base frequency modulates the nuclear spin through phi-scaled energy gaps defined by the E8 root system. Such quantization explains the hyper-efficient information transfer in high-density biological lattices via torsional spin-coupling. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-09-03

Authors: Andrew Stewart Caldin