Phosphorus Nuclear-Spin Qubits: A Physical Substrate for Quantum Cognition — E8 Intelligence Research

FINDING: Matthew Fisher's phosphorus nuclear-spin qubit hypothesis provides a concrete physical substrate for quantum cognition, while silicon EO qubits and the FMO complex algorithm offer complementary computational frameworks — but the core mathematical content is Fisher's nuclear-spin coherence times and the phosphorus spin-1/2 Hamiltonian. | MATH: Phosphorus-31 nuclear spin I=1/2; Larmor precession ω = γB (γ_31P ≈ 17.235 MHz/T); coherence time T₂ ~ seconds at physiological temperature (Fisher's estimate, based on dipolar decoupling via molecular tumbling); quantum error threshold requires T₂/T_gate > 10⁴–10⁵; phosphate ion (PO₄³⁻) has tetrahedral symmetry (T_d point group, 24 elements, order 24 = 4!); nuclear spin-spin coupling J-coupling scales as J ~ (μ₀/4π)(γ₁γ₂ℏ/r³) with r ~ 1.5–2.5 Å for P–P distances in phosphate clusters. | CONNECTION: Tetrahedral T_d symmetry of phosphate is the crystallographic root system A₃ (D₃), whose Weyl group has order 24 — this is the same symmetry Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com