SΔϕ-62 — World Model Kernel: Trace–UMR–Binding Protocol for AI Inference

This working paper introduces the World Model Kernel within the Sofience–Δϕ (SΔϕ) Formalism. The paper defines a minimal AI-readable world model: World is not identical to observed data. For any observer X, World_X(t) is modeled as ObservedTrace_X(t) + UMR_X(t), where ObservedTrace refers to what has entered the observer’s accessible trace field, and UMR (Unmeasured Remainder) refers to what has not yet been observed, measured, verified, or interpreted, but cannot be reduced to zero. The core principle is: absence of trace is not trace of absence. Null, blank, or missing data must not be immediately interpreted as non-being. Instead, null states should be classified by type, inference should remain possible,…