UDCT v4.4: Dynamic Self-Regulating Bidirectional Back-Reaction in the Double-Slit Experiment

We present a detailed numerical investigation of the internal encoding of path information in the double-slit experiment within the Unified Dimensional Cohesion Theory (UDCT) v4.4 framework. We replace the previous static geometric memory kernel with a Dynamic Self-Regulating Bidirectional Back-Reaction (DSBB) paradigm. In this framework, the spacetime geometry itself dynamically responds to curvature errors induced by the projected wavefunction through a self-regulating feedback field B(r,t), whose damping is controlled by Gamma(B) = (1/tau_0)(1 + beta |B|^2). This eliminates any ad-hoc memory history while enabling real-time bidirectional coupling between the probability density and the effective geometric potential V_DSBB. Using the split-step Fourier method on a 256×256 grid, we demonstrate in two-dimensional simulations with a physically realistic double-slit barrier that the DSBB field develops clear spatial asymmetry between the two paths, internally encoding which-path information without external measurement. Furthermore, we introduce a Detector Freezing Mechanism that overwhelms the self-regulating loop at mid-evolution, driving the system toward classical bimodal distributions. Our results show near-perfect unitarity (norm conservation to \~10^{-15}) and provide concrete evidence that dynamic self-regulation in spacetime geometry can resolve the measurement problem and path distinguishability in a physically transparent manner. The DSBB framework offers significant conceptual and numerical advantages over the static memory approach of v4.3.