A Simple and Rigorous Field Interpretation of Dark Matter Phenomenology

This preprint develops and tests a reproducible field-response interpretationof dark matter phenomenology. The dark matter effect is treated as a possiblenonlocal, scale-dependent, and saturation-limited response of a continuousfield structure to baryonic organization. The galactic analysis is based on 175 SPARC galaxies and 3391 radialmeasurement points. Its central empirical target is the positive accelerationexcess g_field,obs = g_obs - g_bar > 0, which is modeled directly rather than introduced in advance as a particle-haloterm. Using galaxy-separated GroupKFold cross-validation, the study examineswhether this excess can be reconstructed from nonlocal baryonic organization,local disk structure, global scale variables, and a smooth saturation term. For the high-quality Q = 1 sample, the saturation-limited model reaches anout-of-fold RMSE of 0.144258 dex, compared with 0.144091 dex for the empiricalradial acceleration relation (RAR). In the expanded Q = 1 + 2 and Q = 1 + 2 + 3samples, the saturation-limited model reaches lower RMSE values than thecorresponding RAR reference. The empirical structure is tested through 200 galaxy-shuffle realizations,300 galaxy-wise bootstrap realizations, and comparisons with Random Forest,Extra Trees, and HistGradientBoosting baselines under the samegalaxy-separated validation logic. Further consistency tests examine themass-discrepancy acceleration relation, the baryonic Tully-Fisher relation,and the inner effective mass-slope structure of the rotation curves. The study then develops a theoretical interpretation within the UniversalQuantum Foam Hypothesis (UQSH), in which the additional acceleration andgravitational-lensing effects are read as manifestations of nonlocal,baryonically anchored, and saturation-limited field organization. The BulletCluster is examined as an external geometric stress test using the CANUCSlensing-convergence map, Chandra X-ray gas references, and the localJWST/F277W near-infrared environment. The results do not establish a completed fundamental UQSH field theory.They define a concrete, reproducible, and falsifiable empirical structurethat can be tested with independent rotation-curve samples, additionalbaryonic and radiation proxies, and further colliding galaxy clusters. Analysis code, validation notebooks, processed tables, figures, andreproducibility materials are available at: https://github.