Constraint and Limit Systems: The Structure of Admissibility Within the Paton System
Year: 2026
Type: article
Abstract: This paper establishes constraint and limit systems as the structural definition of admissibility within the Paton System. While prior work defines admissibility as the condition for system membership and identifies boundaries as the locations where admissibility is enforced, the structure that determines admissibility has not been isolated as a domain. This paper shows that constraints define the conditions under which system states are permitted, while limits define the thresholds beyond which continuation fails. Constraint systems therefore provide the governing structure of admissibility, and limit systems define its failure conditions. Together, they form the structural basis of system existence, persistence, and collapse. This provides a unified interpretation of possibility and failure across physical, biological, computational, and economic domains.
Author: Paton, Andrew John
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7147677021
FWCI:
Cites:
Cited by:
Related to: