The Smooth Parasitic System Model: A Load Minimization Theory Analysis of Emotional Load Transfer, Defense Dynamics, and Recovery Pathways

This paper proposes the Smooth Parasitic System Model, an extension of Load Minimization Theory (LMT) that analyzes how emotional load is subtly transferred in interpersonal relationships. By incorporating the virtue of smoothness — natural fluctuation ε(t) and gentle interaction ⊙ — the model describes both parasitic load extraction and the dynamic defense process through the defense coefficient γ(t). The core equations are: ΔH_victim(t) ≈ β_parasite(t) ⊙ H_victim(t) · (1 + ε(t)) − γ(t) ⊙ S_victim(t) dγ/dt ≈ α_care ⊙ R(t) · (1 + ε(t)) + δ_support ⊙ S_victim(t) − β_drain ⊙ H_victim(t) + η · ε(t) Drawing from real-world examples such as subtle manipulation in parenting communities, the model demonstrates how parasitic dynamics operate gradually and how recovery can occur through the growth of empathy defense and relational support. Stability analysis and phase plane trajectories further reveal critical thresholds (γ_crit) that determine whether a relationship falls into a parasitic loop or shifts toward mutual An-soku. This framework offers both theoretical insight and practical implications for recognizing parasitic patterns, strengthening personal boundaries, supporting child-rearing, and designing more relationally respectful artificial intelligence systems.