Kinematic Signatures of a Resonant Substrate: Identifying a 0.481 Gyr Oscillation in Hubble Parameter Tomography

⚠️ Notice of Model Update: > The Resonant Lattice Model (RLM) framework presented in this preprint has been officially updated and superseded by the Resonant Vacuum Condensate (RVC) model. To view the complete, unified theoretical framework and its updated cosmological mechanics, please refer to the master RVC publication here: [https://doi.org/10.5281/zenodo.18869120] The persistence of the Hubble Tension and recent deviations from standard cosmology observed in Dark Energy Spectroscopic Instrument (DESI) Data Release 2 suggest that cosmic expansion is not driven by a static cosmological constant. Standard cosmology treats the vacuum as a perfectly smooth, continuous manifold. In contrast, the Resonant Lattice Model (RLM) proposes a kinematic-functionalist framework where the vacuum operates as a structured, elastic superfluid lattice subject to geometric impedance. We derive a baseline oscillation period of 0.481 Gyr, calibrated against the Baryon Acoustic Oscillation (BAO) sound horizon, and exact a 10^-4 Mpc^-1 topological impedance constraint. By mapping this temporal beat onto low-redshift parameter binnings, we demonstrate that the observed "stop-and-go" expansion is the expected kinematic signature of a tensioned lattice. Furthermore, by incorporating the macroscopic torsion of Einstein-Cartan Theory, the RLM seamlessly recovers the continuous curvature of General Relativity while introducing structural drag as a macroscopic fictitious force. This provides a purely geometric mechanism for galactic rotation curves and localized lensing effects, eliminating the need for collisionless dark matter particles.