Saturation Thresholds in Recursive Systems: A Universal Energy Field Framework for Modeling Across Scales

This paper proposes a recursive modeling architecture for describing saturation thresholds in complex systems, framed within the Universal Energy Field (UEF) perspective. It extends prior theoretical work connecting recursion, boundary dynamics, and phase transitions in consciousness studies across physical, biological, ecological, cognitive, and cosmological domains. Using a sigmoidal saturation model, the paper demonstrates how recursive structures evolve through distinct temporal phases characterized by boundary functions, information entropy, and integration dynamics. The framework is critically assessed for generalizability, model vulnerability, and falsifiability, while providing specific testable predictions across multiple scales of organization.