Nuclear-spin qubits in Posner molecules: proposed long coherence, timescale unestablished — E8 Intelligence Research

FINDING: Nuclear-spin qubits in biological matter are proposed to sustain quantum coherence far longer than electronic spins, with phosphate/calcium clusters (Posner molecules) as candidate protectors — but the specific decoherence timescale is not established by these sources. | MATH: No explicit equations or constants are given in the retrieved material. The relevant quantities are: nuclear spin gyromagnetic ratio γ_n ≈ 2.675×10⁸ rad·s⁻¹·T⁻¹ (¹H), ~1.08×10⁸ (³¹P); dipolar coupling ω_D ~ μ₀γ²ℏ/(4πr³); decoherence rate 1/T₂ ∝ (Δω)²τ_c (Redfield). Posner cluster: Ca₉(PO₄)₆, a C₃-symmetric (rhombohedral) structure with 6 ³¹P nuclear spins (I=½). | CONNECTION: The Posner unit is a C₃ point-group cluster — 3-fold rotational symmetry, 6 equivalent ³¹P spins arranged on a near-octahedral/rhombohedral cage. This is crystallographic symmetry (trigonal, space group R3̄ or similar), not φ-ratio geometry. No 0.618/1.618/base-60 link is supported by the evidence. | DEPTH: 4 — the hypothesis (Fishe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com