Cosmological Fabric Displacement: A Non-Dark Matter Alternative to Galactic Rotation Curves

This paper introduces a novel cosmological framework named the Fabric Displacement Model (FDM). We conjecture that mass does not warp or contract spacetime curvature inwardly as described by standard general relativity; rather, mass exhibits an inherent geometric repulsion that locally displaces the cosmic spacetime fabric outwardly. By defining a localized "Fabric Density Gradient", we show that the displaced cosmic fabric from galactic cores accumulates at galactic fringes, generating a high-density stabilization zone. Applying this framework to the flat rotation curves of galaxies, we derive a comprehensive dynamic model that eliminates the necessity for non-baryonic Dark Matter. The resulting velocity profiles naturally recover the empirical Modified Newtonian Dynamics (MOND) scaling law as a direct consequence of fluid-like spacetime conservation laws.