Admissibility Field / Landscape: A Structural Representation of Constraint Space and System Position

Building on the Admissibility Margin and Viability Gradient, this paper introduces the Admissibility Field as a global representation of system stability over constraint space. The field assigns a scalar value to each system state, corresponding to its admissibility margin. This provides a full topological description of stability regions, boundary surfaces, and failure domains. The framework extends the Paton System into a spatial representation, enabling identification of admissible regions, critical boundaries, and structural pathways without redefining existing principles.