Electrical Detection and Magnetic Control of Phosphorus-31 Spin Coherence in Silicon — E8 Intelligence Research

FINDING: Phosphorus-31 nuclear spin coherence in silicon enables electrical detection and magnetic-field control of spin states, with potential for quantum computing. | MATH: Nuclear spin I=1/2 for 31P; stable isotope with 15 protons, 16 neutrons; gyromagnetic ratio γ(31P) ≈ 108.394 MHz/T; Zeeman splitting ΔE = ħγB; hyperfine coupling constant A ≈ 117 MHz for P donors in Si. | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries reported in these findings. The silicon lattice is cubic diamond (space group Fd-3m), but no direct link to golden ratio or root systems is evident. | DEPTH: 3 — The findings are experimental and technical, providing spin coherence data but lacking new mathematical constants, ratios, or geometric harmony insights. The depth is limited to quantum control engineering, not fundamental mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com