
We propose an adjusted framework for Modified Newtonian Dynamics (MOND) that derives its low-acceleration behavior from a cosmological jerk field sourced by baryonic density and the Hubble constant. Starting from a phenomenological rotation curve relation that allows mild logarithmic growth, we regularize divergences using the Hubble scale and introduce a velocity-cubed auxiliary field $\psi$. Differentiating the implied kinematics yields a jerk field with monopole-like $1/r^2$ radial dependence, leading to a Poisson-type equation $\nabla \cdot \mathbf{j} = -4\pi G H_0 \rho$. The effective gravitational potential includes a correction $(\psi)^{2/3}$ (or equivalently $(j^2 r^4)^{1/3}$ up to constants), providing a first-principles interpretation of the MOND acceleration scale $a_0 \approx c H_0 / 2\pi$ without unknown dipoles or ad hoc interpolating functions. Preliminary fits to galaxies in the SPARC database show high precision, capturing mild outer rises better than standard deep-MOND flatness.
Mathematical physics, Physics/methods, Gravity, Physical cosmology, Theoretical physics
Mathematical physics, Physics/methods, Gravity, Physical cosmology, Theoretical physics
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