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
- Andrew Stewart Caldin
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