Geodesic Deviations and the MOND Paradigm

Abstract

We sketch an argument suggesting that the sensitivity of geodesics to initial conditions explains away the Modified Newtonian Dynamics (MOND) paradigm. Accounting for both transversality constraints and the Jacobi equation leads to a non-vanishing correction to Newtonian dynamics, which replicates the effect of the Milgrom parameter. Our work falls in line with the Planck data on the nearly vanishing curvature of the large-scale Universe.