Quantum Probability in Hilbert Space Models Human Decision-Making Context and Order Effects — E8 Intelligence Research

Abstract

FINDING: Quantum cognition models human decision-making using quantum probability, not classical logic, to explain context effects and order effects. | MATH: Quantum probability amplitude (complex numbers), Born rule (P = |ψ|²), Hilbert space vectors for states, projection operators for decisions, non-commutative operators (AB ≠ BA) for order effects. No specific constants or ratios extracted. | CONNECTION: No direct geometric harmony ratios (0.382, 0.618, etc.) or base-60 or crystallographic symmetries found in these sources. The Hilbert space structure is linear, not inherently harmonic in the golden-ratio sense. | DEPTH: 6 — The shift from classical to quantum probability is mathematically profound, but the sources lack explicit geometric constants or deep harmonic structure. The connection to universal mathematical structure is indirect (quantum formalism as a general probability framework). Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com