
This study presents Spatial-Causal Geometry (SCG) as an alternative framework to dark matter in explaining galactic rotation curves. Instead of treating gravity as a fundamental force requiring unseen mass, SCG models it as an emergent effect of spatial-density gradients, directly linking rotation velocities to the geometric structure of space. Using observational data from the SPARC database, this research applies a power-law spatial-density profile to fit galactic rotation curves without the need for dark matter halos. A best-fit analysis yields an optimal density gradient exponent , closely aligning with theoretical SCG predictions and demonstrating strong empirical agreement across multiple galaxy types. Key Findings: SCG Accurately Predicts Rotation Curves: Empirical validation shows that SCG-derived rotation velocities match observed data without requiring dark matter assumptions. Best-Fit Analysis Confirms Theoretical Predictions: The derived exponent aligns closely with theoretical expectations. Cosmological Implications: SCG predicts measurable gravitational lensing deviations, alternative large-scale structure formation mechanisms, and refinements to existing cosmological models. By reframing gravity as a geometric phenomenon, SCG challenges conventional astrophysical paradigms, offering a testable, falsifiable alternative to dark matter-based models. Keywords: Galactic rotation curves, Spatial-Causal Geometry (SCG), Dark matter alternatives, Gravitational dynamics, Power-law density gradients, SPARC database, Best-fit modeling, Gravitational lensing predictions, Large-scale structure formation, Cosmological implications
Gravitational dynamics, Gravitational lensing predictions, Power-law density gradients, Cosmological implications, SPARC database, Large-scale structure formation, Galactic rotation curves, Spatial-Causal Geometry (SCG), Dark matter alternatives, Best-fit modeling
Gravitational dynamics, Gravitational lensing predictions, Power-law density gradients, Cosmological implications, SPARC database, Large-scale structure formation, Galactic rotation curves, Spatial-Causal Geometry (SCG), Dark matter alternatives, Best-fit modeling
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