Quantum Cognition: Modeling Decision Interference with Hilbert‑Space Probability Amplitudes and Lüders Updates — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Quantum cognition replaces classical probability with quantum probability amplitudes, modeling decision interference and superposition of mental states | MATH: |Ψ⟩ = Σ_i c_i |i⟩; P(i)=|c_i|²; interference term ΔP = 2 Re(c_a c_b*); non‑commuting observables A,B → [A,B]≠0; Bayesian update via Lüders rule |Ψ'⟩= (P_i|Ψ⟩)/√⟨Ψ|P_i|Ψ⟩ | CONNECTION: No explicit golden‑ratio or base‑60 constants appear; the framework relies on Hilbert‑space geometry (unitary evolution, orthogonality) rather than specific numeric ratios | DEPTH: 7 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225464327