Quantum Probability Outperforms Bayesian Models in Human Decision-Making Under Uncertainty — E8 Intelligence Research

FINDING: Human decision-making under uncertainty is better modeled by quantum probability (complex amplitudes, interference terms) than classical Bayesian probability, with social interaction introducing entanglement-like correlations. | MATH: Quantum probability replaces Kolmogorov axioms with Born rule: P(A) = |⟨ψ|P_A|ψ⟩|²; interference term in two-stage decisions: P(A then B) ≠ P(A)·P(B) — instead P(A∧B) = P(A)P(B|A) + δ(A,B), where δ is a signed interference term (can be negative, violating classical additivity). Social agents: density matrix ρ for N agents, decision via partial trace — ρ_AB ≠ ρ_A ⊗ ρ_B implies non-separability (quantum discord). Key constants: no fixed universal constant emerges; the framework uses ℏ-normalized action scales, but cognition operates in dimensionless probability space. | CONNECTION: The interference term δ(A,B) is bounded by |δ| ≤ √[P(A)P(B)] — this is the same inequality structure as the golden-ratio-adjacent bound in two-slit interference (max con Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22719853
Primary Topic
Computability, Logic, AI Algorithms
Type
preprint
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Quantum Probability Outperforms Bayesian Models in Human Decision-Making Under Uncertainty — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
preprint

Quantum Probability Outperforms Bayesian Models in Human Decision-Making Under Uncertainty — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Human decision-making under uncertainty is better modeled by quantum probability (complex amplitudes, interference terms) than classical Bayesian probability, with social interaction introducing entanglement-like correlations. | MATH: Quantum probability replaces Kolmogorov axioms with Born rule: P(A) = |⟨ψ|P_A|ψ⟩|²; interference term in two-stage decisions: P(A then B) ≠ P(A)·P(B) — instead P(A∧B) = P(A)P(B|A) + δ(A,B), where δ is a signed interference term (can be negative, violating classical additivity). Social agents: density matrix ρ for N agents, decision via partial trace — ρ_AB ≠ ρ_A ⊗ ρ_B implies non-separability (quantum discord). Key constants: no fixed universal constant emerges; the framework uses ℏ-normalized action scales, but cognition operates in dimensionless probability space. | CONNECTION: The interference term δ(A,B) is bounded by |δ| ≤ √[P(A)P(B)] — this is the same inequality structure as the golden-ratio-adjacent bound in two-slit interference (max con Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities, Peace, Justice and strong institutions
Computability, Logic, AI Algorithms
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Quantum Probability Outperforms Bayesian Models in Human Decision-Making Under Uncertainty — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS