Phosphorus-31 Nuclear Spin: A Quantum Coherence Candidate Lacking Brain Data — E8 Intelligence Research

FINDING: Phosphorus-31 (³¹P) nuclear spin-½ is identified as a stable, quantum-coherent candidate for brain-scale nuclear spin processes, but the provided sources are pedagogical videos and a nuclear science roadmap — no primary experimental data on quantum brain coherence is presented. | MATH: ³¹P: Z=15, N=16, I=1/2 (fermionic, odd mass number A=31). Nuclear spin quantum number I=1/2 → two-level system (m_I = ±1/2), Hilbert space dimension 2. Stable isotope (no decay). Electron configuration: [Ne] 3s² 3p³ → valence p³, but nuclear spin is the relevant degree of freedom. No equations, constants, or ratios beyond spin-½ algebra (Pauli matrices σ_x, σ_y, σ_z; commutation [σ_i, σ_j] = 2iε_ijk σ_k). | CONNECTION: Spin-½ is the fundamental irreducible representation of SU(2) — the double cover of SO(3), the rotation group in 3D. This is the root system A₁ (rank 1, single root ±α, Weyl group ℤ₂). The two-level system maps to the Bloch sphere (S²), whose equator encodes phase — but no explici Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com