Empirical Verification of TTDS Lattice Inflow Mechanics Against SPARC Galaxy Rotation Curves

A central challenge in contemporary astrophysics is explaining the flat outer rotation curves of spiral galaxies without postulating invisible Dark Matter halos. Within the framework of the Topological Theory of Deformed Space (TTDS), space is modeled as a 100% elastic, discrete cellular vacuum (3D+1) governed by invariant wave kinematics (c = l_p / t_p). In this paper, we empirically test the TTDS hydrodynamic lattice inflow equation against observational data from the SPARC (Spitzer Photometry and Accurate Rotation Curves) database across three galaxies spanning three orders of magnitude in mass: DDO 154 (low-surface-brightness dwarf), NGC 3198 (standard spiral), and UGC 2885 (giant high-surface-brightness spiral). Using zero free parameters—with the characteristic acceleration threshold derived analytically solely from the vacuum relaxation rate (alpha = H_0 * t_p)—the TTDS model successfully reproduces observed flat rotation curves within a 2–3% margin of error.