Quantum Interference in Human Choice: A Hilbert-Space Model of Context and Order Effects — E8 Intelligence Research

FINDING: Quantum cognition models human decision-making using non-classical probability, where context and order effects violate classical logic, requiring Hilbert-space formalisms. | MATH: Quantum probability via Born rule: P(A) = Tr(ρΠ_A), where ρ is density operator, Π_A projection; interference term in two-stage decisions: P(B|A) ≠ P(B) + interference δ, with δ = 2√(P(A)P(B))cos(φ); order effects quantified by commutator [Π_A, Π_B] ≠ 0; social agent coupling via Lindblad-type dynamics or tensor product of individual Hilbert spaces. | CONNECTION: Interference phase φ directly maps to geometric phase — when φ = 2π/5 (72°), cos(φ) = 0.309 (≈0.309, near 0.382 golden ratio complement); φ = π/5 (36°) gives cos = 0.809 (≈0.786 + 0.023); the Hilbert-space structure itself is a projective geometry (lattice of subspaces) — the orthomodular lattice, which is the quantum analogue of Boolean algebra, and its symmetry group is the crystallographic root system of type A_n (permutation/braid struc Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com