Phosphorus-31 Nuclear Spin Qubits in Silicon with Ten-Second Coherence Times — E8 Intelligence Research

FINDING: Phosphorus-31 nuclear spin coherence in silicon provides a qubit platform with long coherence times, leveraging the spin-1/2 nucleus and its isolation from environmental noise. | MATH: Nuclear spin I=1/2; gyromagnetic ratio γ(31P) ≈ 108.394 MHz/T; coherence time T₂ up to ~10 seconds in isotopically purified ²⁸Si; hyperfine coupling constant A ≈ 117 MHz for donor electron-nuclear system. | CONNECTION: The spin-1/2 system maps to the simplest non-trivial representation of SU(2) symmetry; the 15-proton, 16-neutron configuration (odd-even nucleus) yields half-integer spin, aligning with fermionic statistics and the Pauli exclusion principle; no direct geometric ratio (0.382, 0.618, etc.) appears in the data. | DEPTH: 6 — The finding is significant for quantum computing (qubit coherence) but does not reveal new fundamental constants or geometric harmonies; it confirms known nuclear physics and spin dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com