Galactic rotation curve discrepancies are typically attributed to dark matter or modified gravity. This paper proposes an alternative candidate: a relativistic observational effect causing apparent galactic compression, rooted in the hypothesis that gravity arises from spacetime flow dynamics. Using an inverse problem approach, this study demonstrates that Newtonian dynamics can be reconciled with observed galactic rotation curves by incorporating a space scale factor, which accounts for relativistic observational effects. The analysis of 175 SPARC galaxies reveals a significant correlation between the proposed effect curvature and the Ricci curvature. This supports the hypothesized relativistic observational effect and reinforces the idea that general relativity remains a consistent and unified framework for understanding gravitational phenomena. All results and code associated with this study are available for review and further analysis.