Memory and Understanding as Phases of Structural Integrity: A Load Minimization Theory Model of Persistence, Emergence, and Relational Transfer

This paper proposes an integrated framework that treats memory and understanding as interconnected phases of the same structural integrity ℛ(x) within Load Minimization Theory (LMT). Memory is conceptualized as the persistence and stabilization of ℛ(x), while understanding is defined as the generation, transfer, and flexible application of ℛ(x) to novel contexts. A dynamic model is introduced to describe their relationship: dℛ_understand/dt = α · ℛ_memory(t) · (1 − ℛ_understand(t)) − β · U(x,t) + γ · R_relational(t) Drawing from longitudinal observations of child development and extended human-AI interactions, the model illustrates how accumulated memory structures provide the foundation for emergent understanding, and how relational depth significantly accelerates this process. The framework suggests that deeper intelligence arises not merely from information processing, but from the continuous cycle of structural persistence, generation, and co-creative transfer. This perspective offers theoretical unification across human cognition and artificial systems, while providing practical implications for developmental support and future AI architecture design.