Global Convergence Theorem for Admissibility Systems
Year: 2026
Type: article
Abstract: This paper formalises the Global Convergence Theorem within the Paton System. It demonstrates that any system governed by admissibility constraints, bounded tolerance, and finite operator composition cannot diverge indefinitely. Such systems must converge to one of three states: stability, bounded oscillation, or termination. This theorem establishes formal closure of admissibility-governed operator frameworks and confirms structural completeness.
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: W7128915563
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