Nuclear Spin Qubits in Posner Molecules: A Physical Basis for Quantum Cognition — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Matthew Fisher proposes nuclear spin qubits (phosphorus-31) in Posner molecules as the physical substrate for quantum cognition, with decoherence timescale ~10⁵ s and a specific six-spin cluster geometry. | MATH: Fisher's model requires 31P nuclear spin I = 1/2, gyromagnetic ratio γ/2π ≈ 17.235 MHz/T; Posner molecule Ca9(PO4)6 contains 6 phosphate groups → 6 coupled spins; decoherence time T2 ∼ 105 s at physiological temperature via spin-freezing (Zeno-like effect); quantum error threshold satisfied if T2 / Tgate > 104. Key symmetry: Posner cluster has S6 (or C3) rotational symmetry — a 60° rotation axis, linking to hexagonal/crystallographic order. | CONNECTION: The S6 point group (proper 6-fold rotation) is a crystallographic symmetry — directly related to the hexagonal lattice (root system A2, base-60 division of circle). The 6-spin cl
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026nuclear,
title = {{Nuclear Spin Qubits in Posner Molecules: A Physical Basis for Quantum Cognition — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23526161},
url = {https://zenodo.org/records/23526161},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nuclear Spin Qubits in Posner Molecules: A Physical Basis for Quantum Cognition — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23526161
UR - https://zenodo.org/records/23526161
AB - FINDING: Matthew Fisher proposes nuclear spin qubits (phosphorus-31) in Posner molecules as the physical substrate for quantum cognition, with decoherence timescale ~10⁵ s and a specific six-spin cluster geometry. | MATH: Fisher's model requires ^31P nuclear spin I = 1/2, gyromagnetic ratio γ/2π ≈ 17.235 MHz/T; Posner molecule Ca_9(PO_4)_6 contains 6 phosphate groups → 6 coupled spins; decoherence time T_2 ∼ 10^5 s at physiological temperature via spin-freezing (Zeno-like effect); quantum error threshold satisfied if T_2 / T_gate > 10^4. Key symmetry: Posner cluster has S_6 (or C_3) rotational symmetry — a 60° rotation axis, linking to hexagonal/crystallographic order. | CONNECTION: The S_6 point group (proper 6-fold rotation) is a crystallographic symmetry — directly related to the hexagonal lattice (root system A_2, base-60 division of circle). The 6-spin cl Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -