Processual AI: A Self-Healing Multi-Agent Framework Governed by a Continuity Index (Ψ)

This paper introduces Processual AI , a novel process-centric framework for artificial intelligence systems in which agents are treated as entities in continuous flux rather than static functional components. At the core of the framework lies a continuity index (Ψ) , a mathematically defined measure of agent vitality over time that integrates synergy, demand, competition, and transition dynamics. A minimal proof-of-concept simulation demonstrates how Ψ enables autonomous regulation of agent life cycles, prevents uncontrolled system growth, and supports sustained operation without external intervention. The proposed framework bridges process philosophy and practical AI system design and is domain-agnostic , making it suitable for long-term autonomous and distributed AI systems.