MERLIN SCIENCE — Weyl Symmetry Breaking in Posner Molecules Constrains Quantum Processi — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 5, 2026• 0 citations

Abstract

Let's begin with the finding itself, stated plainly so there is no ambiguity. The Posner molecule, that cluster of nine calcium ions and six phosphate tetrahedra, does not preserve the full Weyl symmetry of its own building blocks when it actually moves and evolves. The naive assumption that its nuclear spins can hide in a protected singlet state, shielded by the deep symmetry of the A₃ root system, is mathematically false. The dynamics break that symmetry, and with it, the promise of a robust biological quantum memory. Now, the context. For several years, a prominent hypothesis in quantum biology has leaned on the Posner molecule as a plausible candidate for long-lived nuclear spin coherence in the brain. The argument was elegant: nine phosphorus spins, all spin one-half, give a Hilbert space of 512 dimensions. The total spin zero subspace, the singlet sector, has dimension 42. And if that subspace were invariant under the full symmetry of the system, coherence might persist long eno Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23152112

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