Nuclear Spin Qubits in Phosphorus Molecules as Substrate for Quantum Cognition — E8 Intelligence Research

FINDING: Matthew Fisher proposes nuclear spin qubits in phosphorus atoms (¹³C-³¹P bonded molecules) as the physical substrate for quantum cognition, with decoherence timescales and entanglement criteria derived from NMR parameters. | MATH: Fisher's model hinges on the spin-spin coupling constant \( J \) (in Hz) between ¹³C and ³¹P nuclei, the gyromagnetic ratios \( \gamma_{^{13}C} \approx 6.7283 \times 10^7 \, \text{rad·s}^{-1}\text{T}^{-1} \) and \( \gamma_{^{31}P} \approx 10.839 \times 10^7 \, \text{rad·s}^{-1}\text{T}^{-1} \), and the Larmor precession frequency \( \omega = \gamma B_0 \). The key timescale is the coherence time \( T_2 \), which Fisher estimates must exceed the synaptic processing window (~1 ms) for quantum effects to survive. The entanglement condition is \( J \cdot \tau > 1 \) (dimensionless product of coupling and interaction time), with \( J \approx 100 \, \text{Hz} \) for the bonded pair, giving \( \tau \approx 10 \, \text{ms} \) — marginally viable. The nuclear Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com