Operator Consistency Theorem — Structural Closure of Admissible Operator Systems
Year: 2026
Type: article
Abstract: This paper formalises the Operator Consistency Theorem within the Paton System. The theorem states that compositions of admissible operators cannot generate internal contradictions provided each operator preserves Boundary, Relation, and Persistence invariants. The result establishes mathematical closure of the operator layer and guarantees stability of composite structural evaluations. The work provides a formal foundation for multi-operator admissibility frameworks across physics, logic, engineering, and complex systems analysis.
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: W7128925049
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