Persistence–Formation Feedback: The Structural Recursion Loop of System Existence in the Paton System

The Paton System establishes a sequence of structural stages through which systems become admissible, observable, and capable of continuation. These stages—formation, admissibility, observation, continuation, and persistence—have previously been described individually within the Paton System architecture. This paper formalizes an additional structural property that emerges when these stages are considered collectively: persistence modifies the constraint structure governing future system formation. The result is a closed recursion loop in which successful continuation feeds back into the conditions that determine subsequent admissibility. This persistence–formation feedback principle converts the linear pipeline of system evaluation into a recursive architecture of evolving constraint space. By identifying this feedback relation, the Paton System becomes a self-modifying constraint framework in which persistent systems reshape the structural conditions governing future system formation. The formulation is domain-neutral and applies across physical, biological, computational, and organisational systems.