This paper presents an interpretive continuity framework for understanding quark confinement using the Structural Fingerprint Method (SFM) and Recursive Continuity Geometry (RCG). The framework does not replace Quantum Chromodynamics (QCD), introduce new forces, or modify the Standard Model. Instead, it proposes a structural interpretation in which confinement behaviour may be understood through continuity preservation, relational loading, and admissibility-based persistence structures. The paper explores how attempted quark separation may be structurally interpreted as loading an active continuity corridor rather than simply increasing force between isolated objects. Under this interpretation, pair production appears as continuity restoration under excessive relational tension. The framework is explicitly non-ontological and non-replacement. It is intended as a conceptual overlay compatible with existing particle physics and quantum field theory. Keywords: Quantum Chromodynamics, quark confinement, Structural Fingerprint Method, Recursive Continuity Geometry, continuity corridor, pair production, relational persistence, field continuity, confinement geometry, admissibility, interpretive physics, strong-force confinement, structural fingerprinting, Paton System