No Experimental Evidence Found for Orthomodular Lattice Cognitive State Spaces — E8 Intelligence Research

FINDING: Search returned only pedagogical/overview content on Hilbert spaces and a tangential AI framework — no experimental evidence for orthomodular lattice cognitive state spaces was retrieved. | MATH: Hilbert space H defined as complete inner-product space over ℂ (or ℝ); norm ‖ψ‖ = √⟨ψ|ψ⟩; projection lattice P(H) = {orthogonal projections P: P²=P=P†}; orthomodularity condition: if P ≤ Q then Q = P ∨ (P⊥ ∧ Q); quantum probability via Gleason: μ(P) = Tr(ρP), ρ ≥ 0, Tr(ρ)=1. | CONNECTION: Projection lattice P(H) is a non-distributive orthomodular lattice; for H=ℂ² it is the 2D subspace lattice L₂ (the "Chinese lantern" / benzene ring lattice), whose automorphism group is SO(3) ≅ SU(2)/ℤ₂ — the same symmetry group underlying the 0.618/1.618 golden-ratio structure of the icosahedron and the A₅ root system. | DEPTH: 2 (source material is expository; no new mathematical or empirical content extracted). FINDING: No experimental evidence for orthomodular-lattice cognitive state spaces appe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com