Logica Quanta: Deterministic Memory-Induced Irreversibility in a Modified Three-Body System

This paper presents a fully reproducible computational study within the Logica Quanta framework, applying deterministic field-based corrections to the classical three-body problem. A smooth auxiliary wave-field term is introduced as a nonlinear extension of Newtonian gravity, and two regimes are examined: a reversible field correction without memory and a memory-based extension incorporating accumulated interference. The reversible extension preserves delicate choreographic solutions such as the figure-eight orbit under small coupling and maintains effective time-reversal symmetry. In contrast, the memory-based extension introduces macroscopic irreversibility and hysteresis without stochastic collapse, discontinuities, or threshold mechanisms. All simulations are deterministic and fully reproducible, with complete Python source code, parameter tables, and replication instructions provided in the appendices. This work does not claim an analytic solution to the three-body problem; rather, it demonstrates that deterministic accumulated interference mechanisms can generate history-dependent dynamics within an otherwise classical system.