Quantum Probability Amplitudes Model Human Decision-Making Under Uncertainty — E8 Intelligence Research

FINDING: Quantum cognition models human decision-making under uncertainty using quantum probability amplitudes rather than classical Bayesian probabilities, with context-dependent non-commutative operators. | MATH: Quantum probability: \(P(A|B) ≠ P(B|A)\) in general; decision as projection onto Hilbert space basis states; interference term: \(P(A B) = P(A) + P(B) + 2√P(A)P(B)cos(δ)\), where \(δ\) is the phase difference between probability amplitudes; non-commutativity: \([Â,B̂] = ÂB̂ - B̂Â ≠ 0\) for incompatible decision contexts; social agent model (arXiv:1202.4918) uses Lindblad-type master equation for open quantum systems with interaction Hamiltonian \(Hᵢₙₜ\) coupling agent states. | CONNECTION: The interference phase \(δ\) in quantum cognition maps directly to geometric phase — when \(cos(δ) = 0.809\) (i.e., \(δ = 36^∘\)), the interference term yields the golden ratio conjugate \(0.618\) as a prob Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com