Nuclear-spin decoherence rate law in antiferromagnetic lattices; quantum consciousness claims unverified — E8 Intelligence Research

FINDING: Nuclear-spin qubit decoherence in antiferromagnetic lattices is governed by a well-defined rate law; biological "quantum consciousness" claims (Fisher, Craddock) remain unverified hypotheses, not measured constants. | MATH: Decoherence rate Γ ∝ (A_hf)² · τ_c · N_spin, where A_hf = hyperfine coupling (Hz), τ_c = correlation time of the fluctuating local field, N_spin = number of coupled spins. For a 1D chain of spin-1/2 nuclei on an easy-axis 3D antiferromagnet plate, the dominant dephasing channel is the secular (zz) hyperfine term; T₂* ~ 1/Γ. Phosphate/calcium clusters (e.g., hydroxyapatite Ca₁₀(PO₄)₆(OH)₂, Posner cluster Ca₉(PO₄)₆) carry ³¹P (I=1/2, 100% abundant) and ⁴³Ca (I=7/2, 0.135% abundant) — the ³¹P nuclear spins are the candidate qubits. | CONNECTION: Hydroxyapatite crystallizes in hexagonal space group P6₃/m (No. 176) — a base-60/hexagonal lattice symmetry. Posner cluster Ca₉(PO₄)₆ has near-icosahedral (I_h) local symmetry, a root-system-adjacent arrangement (icosa Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com