SΔϕ-07 — Interpretation-Minimal Operation (H_min): Minimal Axioms and Detection Protocol (v1.0)

This document defines a minimal operational notion of interpretation (H_min) within the Sofience–Δϕ Formalism. Interpretation is formulated as a causal operation consisting of: (1) marking a path difference and (2) re-entering that mark into subsequent transitions such that the transition distribution changes causally and persistently. The work introduces three minimal axioms and an empirical detection protocol designed to distinguish interpretation from mere state compression or one-off adaptation. This document functions as the interpretation layer connecting: SΔϕ-05 — Agency as Recursive Transition Law Update SΔϕ-06 — Responsibility as Irreversible Cost Internalization within the Sofience–Δϕ Formalism series.