Asymmetric Dynamics of Posner Molecules Challenge Quantum Brain Hypothesis — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 24, 2026• 0 citations

Abstract

FINDING: The Posner molecule (Ca₉(PO₄)₆) — a calcium-phosphate cluster implicated in neural signaling — has a dynamical ensemble that is *not* symmetric, challenging its proposed role as a stable quantum information processor in the brain. | MATH: Stoichiometry: Ca₉(PO₄)₆ → 9 Ca²⁺ + 6 PO₄³⁻. The molecule's point group is often cited as T (tetrahedral, 12 symmetry operations) or T_d (24 operations), but the arXiv result (2108.08822v2) shows the *dynamical* ensemble (vibrational/torsional modes) breaks this symmetry — the effective Hamiltonian has lower symmetry, likely C₁ or C₃, with no degenerate irreducible representations. Key constant: the ratio of Ca²⁺ to PO₄³⁻ is 3:2, which in base-60 terms is 90:60 — a sexagesimal integer pair. The nuclear spin I = 1/2 for ³¹P (100% abundance) gives a potential 6-spin system (from 6 phosphate groups) — but symmetry-breaking reduces the Hilbert space dimension from 2⁶ = 64 to a smaller effective subspace (likely 2³ or 2⁴) due to loss of exchange s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22075529

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