Posner molecule lacks T_h symmetry, breaking nuclear spin qubit protection assumption — E8 Intelligence Research

FINDING: Posner molecule (Ca₉(PO₄)₆) lacks dynamical symmetry, contradicting prior assumptions of T_h point group for nuclear spin qubit protection. | MATH: Point group T_h has 24 symmetry operations; irreducible representations (irreps) for nuclear spin states under T_h would decompose into A_g, A_u, E_g, E_u, T_g, T_u. The paper shows the molecular ensemble is not symmetric, breaking the assumed T_h irrep structure for spin dynamics. | CONNECTION: T_h is a crystallographic point group (order 24) related to cubic symmetry; its irreps link to root system D₃ (so(6) algebra). The broken symmetry implies no geometric protection from decoherence via golden-ratio-based spin coupling (e.g., 0.618, 1.618 ratios in spin-spin interactions). | DEPTH: 7 — Directly challenges a key assumption in quantum biology (Posner molecule as quantum memory), but no new constants or ratios emerge; the negative result refines the search space for biological quantum coherence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21503751
Primary Topic
Advanced NMR Techniques and Applications
Type
preprint
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preprint

Posner molecule lacks T_h symmetry, breaking nuclear spin qubit protection assumption — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced NMR Techniques and Applications
preprint

Posner molecule lacks T_h symmetry, breaking nuclear spin qubit protection assumption — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Posner molecule (Ca₉(PO₄)₆) lacks dynamical symmetry, contradicting prior assumptions of T_h point group for nuclear spin qubit protection. | MATH: Point group T_h has 24 symmetry operations; irreducible representations (irreps) for nuclear spin states under T_h would decompose into A_g, A_u, E_g, E_u, T_g, T_u. The paper shows the molecular ensemble is not symmetric, breaking the assumed T_h irrep structure for spin dynamics. | CONNECTION: T_h is a crystallographic point group (order 24) related to cubic symmetry; its irreps link to root system D₃ (so(6) algebra). The broken symmetry implies no geometric protection from decoherence via golden-ratio-based spin coupling (e.g., 0.618, 1.618 ratios in spin-spin interactions). | DEPTH: 7 — Directly challenges a key assumption in quantum biology (Posner molecule as quantum memory), but no new constants or ratios emerge; the negative result refines the search space for biological quantum coherence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced NMR Techniques and Applications
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