The Dynamical Domain of Closure Theory Information-Preserving Transformation of Completed Intrinsic Closures

Completed Intrinsic Closure: The Architectural Framework of Closure Theory This paper presents the first comprehensive formulation of the intrinsic architecture of Closure Theory. Building upon the Canonical Transport Equation and the induced Canonical Frame Transport programme developed in the preceding papers, it develops the concept of the Completed Intrinsic Closure (CIC) as the fundamental transported object from which observable physics subsequently emerges. The paper organises the intrinsic T-domain into a coherent mathematical hierarchy comprising primitive geometry, canonical transport, Support–Weave dual-curvature fibres, transported invariants, induced frame structure, recurrence, seam continuity, local closure and global admissibility. The Completed Intrinsic Closure is identified as the completed recurrent intrinsic object that satisfies these architectural requirements. Particular attention is given to the distinction between local transport laws and global closure conditions, clarifying the separate roles of the Canonical Transport Equation, the induced Canonical Frame Transport Equation, recurrence, holonomy and the parent closure condition O{GAB}=0O\{GAB\}=0O{GAB}=0. The work also introduces the conceptual ladder linking intrinsic geometry, Transformation, Projection and the emergence of observable physics. Rather than presenting isolated mathematical results, this paper establishes the organisational framework within which subsequent investigations of mass, charge, geodesics, projection and observable interactions may be understood. It therefore serves as the principal architectural reference for the current Closure Theory programme. This paper forms Paper II of the Closure Theory research series and provides the mature intrinsic framework upon which the subsequent investigations of curvature, projection and the geometric origin of observable quantities are based. Recommended starting point: Readers wishing to understand the overall mathematical architecture of Closure Theory should begin with this paper. Papers 0 and I provide the underlying transport derivations, while Papers III and IV develop the consequences for curvature, projection and the geometric origin of observable charge.