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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Bridging MOND and $\Lambda$CDM by Cosmological Jerk and the $v^3$ Scaling

Authors: Papou, Aliaksei;

Bridging MOND and $\Lambda$CDM by Cosmological Jerk and the $v^3$ Scaling

Abstract

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.

Keywords

Mathematical physics, Physics/methods, Gravity, Physical cosmology, Theoretical physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green