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

FINDING: Search returned only pedagogical Hilbert-space explainers — no experimental evidence for orthomodular-lattice cognitive state spaces. | MATH: Hilbert space H = complete inner-product space over ℂ; state = unit ray |ψ⟩; observables = self-adjoint operators; propositions = projection lattice P(H) with orthocomplement ⊥. Orthomodular law: if a ≤ b then b = a ∨ (a⊥ ∧ b). | CONNECTION: P(H) is a modular (orthomodular) lattice only in finite dim; infinite-dim P(H) is orthomodular but non-distributive — the structural break from Boolean logic. No 0.618/1.618/base-60 signature appears in the retrieved sources. | DEPTH: 2 Notes on what the evidence actually supports: 1. Key mathematical insight (from sources): A Hilbert space is a complete inner-product vector space; quantum states are rays, and the lattice of closed subspaces (projections) is orthomodular. This is the standard mathematical substrate, not a new discovery. 2. Equations/constants: No numerical constants, ratios, or me Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com