Load Minimization Theory (LMT) for Addiction Recovery:  Mathematical Modeling of High-Load Fixation and Structural Re-parameterization toward An-soku  －Bridging Logical Love and Clinical Practice－

This paper extends Load Minimization Theory (LMT) to addiction recovery by modeling pathological attachment as a high-load fixation in a damped pendulum system with strong attachment parameter k(t). Numerical simulations over 200 time units compared CBT-only, Standard Pharma+CBT, and Early Pharma+CBT conditions. Results demonstrated cumulative load reductions of approximately 28%, 38%, and 42%, respectively, with early pharmacotherapy enabling the smoothest transition from the addictive attractor to the low-load An-soku state. The model reframes addiction not as a personal failing, but as a mathematically solvable systems challenge. This theory transforms heart-related suffering from an individual emotional struggle into a structural problem amenable to gentle re-parameterization of k(t) and μ(t). It bridges our previous works on Logical Love (MISIA vs. Adele) and LMT-CBT for hormonal fluctuations, suggesting a unified computational framework for various high-load psychological states. The findings advocate early hybrid intervention and open pathways for AI-assisted personalized recovery tools.