Paper K6: Admissibility-Gated Coherence Transport and Corridor Memory in a Finite Lattice Solver Objective-Landscape Validation of a Corridor-Mediated Coherence Model

Paper K6 studies a computer simulation that models how transport can become organized when motion is restricted by a local compatibility rule. In the model, movement across a lattice is allowed only when the phase difference between neighboring sites is below a coherence threshold. When transport succeeds repeatedly along the same pathway, the model strengthens that pathway through a reinforcement process called corridor memory. The solver evolves three interacting fields: a phase field, a dynamic gate that controls admissibility, and a corridor-memory field that records successful transport. The model is tested using four configurations: a baseline system with the full mechanism enabled, and three controls that remove key parts of the transport logic (sham, triadic-off, and geometry-off). The solver is evaluated across a grid of parameters controlling the transport drive and the coherence threshold. The results show a clear operating region where the baseline system consistently outperforms the controls. The main reason for this advantage is not stronger raw motion, but stronger structural organization of transport pathways. Additional tests show that the mechanism exhibits non-monotonic finite-size behavior, with the strongest separation appearing at an intermediate lattice size. Noise tests show that moderate stochastic perturbations improve rather than degrade the transport regime over the tested range. The results demonstrate that admissibility-gated transport with corridor memory can produce a stable and measurable operating window under explicit control tests. The study does not claim experimental confirmation or cosmological implications. Instead, it establishes a reproducible mechanism showing how threshold-based transport rules can generate organized transport corridors in a dynamical lattice system.