Generative Paper 14 — Presentation-Level Domain Constraint: From Symmetry through Hilbert Space & State Space to Quantum State

The Constraint-Based Framework preserves a single constraint architecture across successive generative levels. At its foundational level, Constraint is defined by the complementary structure of Domain and Mapping. This article isolates the Domain side and reconstructs its progression into the Presentation Layer without introducing a new constraint or incorporating the Mapping side. The reconstruction begins from the role of Domain as the condition and boundary of definability, then follows the increasing structural capabilities through which this role is represented at higher levels. The resulting presentation-level sequence is: Symmetry → Hilbert Space → State Space → Quantum State. These structures are not independent constraints; they are successive realizations of Domain capability. Hilbert Space provides the presentation-level domain, State Space structures the admissible state organization within that domain, and Quantum State provides its organized presentation-level state abstraction. Mapping, operational rules, Measurement, and Coupling remain outside the scope of this article. This article is part of a broader theoretical program investigating the emergence of spacetime, geometry, and physical structure from the ψ–Θ–χ continuum. Earlier works in this program explore different layers and stages of the framework, ranging from foundational pre-structural regimes to geometric realization: Generative Paper 1: Infinite Generative Field as the Origin of Physical Reality Generative Paper 2: Vacuum as the Minimal Condition of Definability Generative Paper 3: Primitive Recursive Functions as the Architecture of Recursive Organization Generative Paper 4: From Recursive Organization to the ψ–Θ–χ Architecture Generative Paper 5: Organizational Space and Organizational Fields Generative Paper 6: Elementary Fiber Dynamics — The Building Block of Photon Formation Generative Paper 7: Persistent Cyclic Organization Toward Photon Formation Generative Paper 8: Photon Dynamics Through Cyclic Reconstruction Generative Paper 9: From Photon to Electromagnetism Generative Review 1: From a Single Generative Field to Photon and Electromagnetism Generative Paper 10: Organizational Constraints: The Foundation of the Constraint-Based Framework Generative Paper 11 — Constraint Architecture in Generative Framework Generative Paper 12 — Quantum and Relative Projection Spaces: From Organizational Geometry to Quantum & Relative Geometry Generative Paper 13 — Vector Point & Projected History: Architecture of Quantum Projection Geometry Generative Paper 14 — Presentation-Level Domain Constraint: From Symmetry through Hilbert Space & State Space to Quantum State