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March 26, 20260 citationsOpen Access

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

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APAndrew John Paton

Key Points

  • The aim is to propose a symbolic language for representing system behavior under admissibility constraints across various domains.
  • Developed a pressure-aware symbolic language based on the Paton System.
  • Encoded system behavior using directional input, constraint interaction, and continuation outcomes.
  • Designed a mobile-compatible symbol set that is domain-neutral.
  • Successfully captures structural behavior across physical, biological, cognitive, economic, and computational systems.
  • Allows comparisons between systems through a uniform framework of admissibility flow.
  • Incorporates hinge operators to represent adaptation as a condition for admissible continuation.

Abstract

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.

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Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69c4cd73fdc3bde448919cdahttps://doi.org/10.5281/zenodo.19199855
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