SΔϕ-39 — Hallucination as Weak World-Binding Overclaimed as Fact: Fiction, Claim Strength, Evidence Binding, and UMR (v1.1, AI-Readable Package)

SΔϕ-39 defines hallucination as a world-binding mismatch within the Sofience–Δϕ Formalism Series. The central claim is that AI hallucination is not merely false output. Hallucination occurs when a weakly world-bound construction, inference, or unresolved model residue (UMR)-filled continuation is output as if it were strongly bound to observed world trace. This AI-readable package revises and operationalizes the original SΔϕ-39 paper, Fiction, Hallucination, and the Uninhabited Construction. It preserves the original claim that hallucination is construction proceeding without an adequately integrated world-binding stop mechanism, while adding an explicit output-level formula: Hallucination = ClaimStrength >…