Unified Structural Lens A Tier-6 Integration of Persistence Access and Recursive Structure

This paper presents a unified structural lens within the Paton System integrating persistence access and recursive structure under admissibility constraints. It establishes that information persists within systems while access to that information is limited by boundary conditions and positional admissibility. Systems are treated as recursive processes rather than linear sequences. Each stabilised output becomes the origin for subsequent structure, forming a continuous chain of transformation. Transitions preserve limited continuity of prior states but are non-invertible, preventing full reconstruction of earlier configurations. The framework distinguishes between information existence and information accessibility. Information is not destroyed as systems evolve but becomes redistributed mixed and compressed within the system. Boundaries act as filters determining what information can pass into externally usable form while preventing full reconstruction of prior states. A structured boundary model is introduced with regimes of admissible access compressed partial access and complete inaccessibility. Near boundaries minimal structured leakage may occur while beyond admissibility limits access ceases and only indirect inference remains possible. The paper formalises non-invertibility as a core system property. Once information is filtered through constraint it cannot be fully recovered from resulting structure. Recursive continuity ensures that prior states influence future structure but do not remain reconstructable. Cross-domain alignment demonstrates the same structural behaviour across systems including material dilution lifecycle processes mixing and distribution fire propagation black hole boundaries and cosmological boundaries. In each case information persists while access is constrained. The Big Bang is interpreted as a boundary of admissibility rather than an ontological origin. A prior state exists but cannot be mapped due to inadmissibility constraints. Observed structure therefore represents an admissible subset of a larger system rather than the total system. This framework introduces no new physical laws. It provides a structural interpretation unifying persistence non-invertibility recursion and boundary-limited access across domains.