Spectral Lattice Tension Dark Matter Profile: Sub-1 km s⁻¹ Rotation Curve Fits for 175 SPARC Galaxies

We present a spectral extension of the NKA lattice tension dark matter profile using discrete operator geometry on a cyclic lattice. The model achieves a mean RMS velocity residual of 0.85 km s⁻¹ on the full 175-galaxy SPARC sample—a 79% improvement over the previous lattice tension architecture and, to our knowledge, the lowest mean residual reported for any single unified dark matter profile applied to the complete SPARC dataset. The architecture includes Hubble-type-informed SPS priors, bar non-circular motion correction, and an extended spectral refinement. The model reproduces the baryonic Tully–Fisher relation and radial acceleration relation. Data-limited outliers (e.g., NGC0801 with placeholder beam) are classified separately from model-limited residuals. This package contains the LaTeX source and figures for Overleaf compilation and Zenodo deposition.