³¹P Nuclear Spins in Posner Molecules as Room-Temperature Qubits for Quantum Cognition — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Matthew Fisher (UCSB) proposes nuclear spins of phosphorus-31 in Posner molecules (Ca₉(PO₄)₆) as room-temperature qubits for neural quantum processing — "quantum cognition" via decoherence-resistant nuclear spin entanglement.
MATH: - Posner molecule: Ca₉(PO₄)₆, phosphate cage with 6 P nuclei (I = 1/2, ³¹P) - Nuclear spin qubit: ³¹P, spin-1/2, gyromagnetic ratio γ ≈ 1.08 × 10⁸ rad·s⁻¹·T⁻¹ - Hyperfine coupling A ≈ 10²–10³ Hz (weak, hence long coherence) - Decoherence time target: T₂ ~ 10⁵ s (days) for nuclear spins in Posner geometry - Entanglement via spin-spin coupling through phosphate oxygens; singlet-triplet states - Posner binding energy: ~ 10 kT (thermal stability at 310 K) - Symmetry group of Posner: octahedral O_h (6 P at vertices of octahedron)
CONNECTION: - Octahedral symmetry O_h — root system A₃/B₃; 6 vertices = 6 spin-1/2 sites → SU(2)⁶ Hilbert space, dim = 2⁶ = 64 - 6-fold coordination echoes base-60 (6 × 10) and hexagonal/cubic close-packing - Singlet state (
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026³¹p,
title = {{³¹P Nuclear Spins in Posner Molecules as Room-Temperature Qubits for Quantum Cognition — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23659016},
url = {https://zenodo.org/records/23659016},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - ³¹P Nuclear Spins in Posner Molecules as Room-Temperature Qubits for Quantum Cognition — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23659016
UR - https://zenodo.org/records/23659016
AB - FINDING: Matthew Fisher (UCSB) proposes nuclear spins of phosphorus-31 in Posner molecules (Ca₉(PO₄)₆) as room-temperature qubits for neural quantum processing — "quantum cognition" via decoherence-resistant nuclear spin entanglement. MATH: - Posner molecule: Ca₉(PO₄)₆, phosphate cage with 6 P nuclei (I = 1/2, ³¹P) - Nuclear spin qubit: ³¹P, spin-1/2, gyromagnetic ratio γ ≈ 1.08 × 10⁸ rad·s⁻¹·T⁻¹ - Hyperfine coupling A ≈ 10²–10³ Hz (weak, hence long coherence) - Decoherence time target: T₂ ~ 10⁵ s (days) for nuclear spins in Posner geometry - Entanglement via spin-spin coupling through phosphate oxygens; singlet-triplet states - Posner binding energy: ~ 10 kT (thermal stability at 310 K) - Symmetry group of Posner: octahedral O_h (6 P at vertices of octahedron) CONNECTION: - Octahedral symmetry O_h — root system A₃/B₃; 6 vertices = 6 spin-1/2 sites → SU(2)⁶ Hilbert space, dim = 2⁶ = 64 - 6-fold coordination echoes base-60 (6 × 10) and hexagonal/cubic close-packing - Singlet state ( Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -