SΔϕ-10 — Interpretation, Learning, and Inference as a Single Re-entry Structure (v1.0)

This note proposes a minimal unification of three operations—interpretation, learning, and inference—within the Sofience–Δϕ framework. The unification claim is operational: all three are instances of a single pattern, marker re-entry, differing only by their temporal horizon. Interpretation is one-step re-entry of a path-difference marker, learning is persistent re-entry that updates the transition law, and inference is the projection produced by the current law prior to contact with the next transition. Under this view, error is not a failure signal but the boundary residual between predicted and realized transition, and becomes the primary input for the next cycle. Series references (DOI) • SΔϕ-05 — Agency as Recursive Transition Law Update (v1.0). DOI: 10.5281/zenodo.18732567 • SΔϕ-06 — Responsibility as Irreversible Cost Internalization (v1.0). DOI: 10.5281/zenodo.18734092 • SΔϕ-07 — H_min: Interpretation as Minimal Marker Re-entry (v1.0). DOI: 10.5281/zenodo.18735006 • SΔϕ-08 — Agency–Responsibility–Freedom Closure (v1.0). DOI: 10.5281/zenodo.18740750 • SΔϕ-09 — Error, Boundary, and Freedom (v1.0). DOI: 10.5281/zenodo.18745498