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

Abstract

FINDING: Quantum probability replaces classical Kolmogorov probability in modeling human decision-making under uncertainty and conflict, using non-commutative operators and complex amplitudes. | MATH: Quantum probability framework: \( P(A) = |\langle \psi | M_A | \psi \rangle|^2 \), where \( M_A \) is a projection operator; non-commutativity: \( [M_A, M_B] \neq 0 \) leads to interference terms; contextuality captured by Hilbert space dimension \( d \); Born rule replaces Bayes rule for sequential decisions. | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries found in the provided sources. The Hilbert space structure is linear, not inherently harmonic. | DEPTH: 6 — The mathematical shift from classical to quantum probability is profound for cognitive modeling, but the findings lack specific constants, ratios, or geometric symmetries that would tie directly to universal mathematical structure. The connection to geometri Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com