Dynamic State Interaction and Regeneration Dynamics (DSIRD) Model: Computational Mechanics of the Wave Packet and Deterministic Reversibility of Decoherence

This research presents the computational proof for the Deterministic Soliton Dynamics (DSIRD) framework, which replaces the probabilistic interpretation of wave function decoherence with a deterministic geometric process. In this model, an elementary particle is described as a nonlinear energy soliton governed by a Gross-Pitaevskii-type effective potential (V=-g₁ρ+g₂ρ²), where structural integrity is maintained by the equilibrium of two internal orthogonal states (State 1 and State 2). Through rigorous computational modeling encompassing over 26,000 macroscopic field configurations and thermodynamic variables, we demonstrate that "which-path" decoherence is a reversible physical deformation of the soliton’s internal geometry. When a wave packet interacts with a marker, a rigid spatial phase shift is introduced, causing uncontrolled radial diffraction. We provide experimental proof that this process is reversible through the application of structured macroscopic fields: 1D Systems: A scalar Monopole field restores spatial coherence up to 94.37%. 2D Systems: A Dipole field with negative amplitude (acting as a topological mirror) realigns the internal state balance, recovering spatial coherence to 82.61%. Optimized Reconstruction: The application of a combination field creating a local dynamic attractor achieves a peak regeneration of 82.83%. These results provide a definitive mechanical explanation for the "Quantum Eraser" effect, demonstrating that the restoration of wave properties relies purely on nonlinear geometric optics and field topology rather than quantum entanglement or statistical post-selection. This work establishes a foundation for the engineering control of quantum systems.