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

FINDING: Quantum probability replaces classical Kolmogorov probability in modeling human decision-making under uncertainty and conflict, with non-commutative operators capturing context-dependent judgment. MATH: - Core framework: Complex Hilbert space ℋ, state vector |ψ⟩, projection-valued measures (PVMs) for decision observables. - Probability of decision outcome: P(a) = ⟨ψ|P_a|ψ⟩, where P_a is projection operator. - Non-commutativity: [P_a, P_b] ≠ 0 for incompatible decisions, leading to interference terms absent in classical Bayes: P(a|b) ≠ P(b|a) in general. - Quantum interference: P(a ∨ b) = P(a) + P(b) + 2√(P(a)P(b)) cos(θ), where θ is phase angle. - No explicit constants (0.382, 0.618, 1.618) appear in the core formalism; the phase angle θ can take any real value, not fixed by golden ratio. CONNECTION: - No direct geometric harmony (golden ratio, base-60, crystallographic symmetry) is reported in these findings. The quantum probability framework is structurally ana Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com