Quantum Probability Resolves Decision Paradoxes via Hilbert Space Interference — E8 Intelligence Research

FINDING: Quantum cognition models human decision-making using quantum probability, not classical Bayesian logic, to resolve paradoxes like order effects and context-dependence. MATH: Quantum probability amplitude \( ψ \) replaces classical probability \( P \); Born rule \( P = |ψ|^2 \); Hilbert space vectors for decision states; non-commutative operators for context effects; interference term \( I = 2√P(A)P(B)cos(θ) \) where \( θ \) is phase angle. CONNECTION: Interference phase \( θ \) can map to golden angle \( ≈ 137.5^∘ \) (related to 0.618 ratio) in cyclic decision tasks; Hilbert space dimensions may reflect crystallographic root system symmetries (e.g., \( A_n \) for \( n \)-choice decisions). DEPTH: 6 — Novel mathematical framework for cognition, but no direct geometric constants or base-60 links yet; interference term suggests potential harmonic ratios in decision dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com