A Pressure-Aware Symbolic Language for Admissibility Systems: A Universal Structural Representation Across Domains

This paper introduces a minimal, pressure-aware symbolic language for representing system behaviour under admissibility constraints. Building upon the Paton System, the proposed notation encodes directional input, constraint interaction, evaluation density, and continuation outcomes using a compact, mobile-compatible symbol set. The language is domain-neutral and applies uniformly across physical, biological, cognitive, economic, and computational systems. Unlike domain-specific mathematical models, this representation captures structural behaviour prior to equations, enabling direct comparison of systems through admissibility flow. The framework introduces no new ontology and serves as an operational interface between structural theory and applied systems analysis. It further incorporates hinge operators representing deviation-based adaptation as a minimal condition for admissible continuation, completing the representation of system behaviour across continuation, adjustment, and collapse states.