Bridging MOND and $\Lambda$CDM by Cosmological Jerk and the $v^3$ Scaling
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866902289628790784 |
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| author | Papou, Aliaksei |
| author_facet | Papou, Aliaksei |
| contents | <p>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.</p> <p>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 $\psi$. </p> <p>Differentiating the implied kinematics yields a jerk field with monopole-like $1/r^2$ radial dependence, leading to a Poisson-type equation $\nabla \cdot \mathbf{j} = -4\pi G H_0 \rho$.</p> <p>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.</p> <p>Preliminary fits to galaxies in the SPARC database show high precision, capturing mild outer rises better than standard deep-MOND flatness.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18693198 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Bridging MOND and $\Lambda$CDM by Cosmological Jerk and the $v^3$ Scaling Papou, Aliaksei Gravity Physical cosmology Mathematical physics Physics/methods Theoretical physics <p>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.</p> <p>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 $\psi$. </p> <p>Differentiating the implied kinematics yields a jerk field with monopole-like $1/r^2$ radial dependence, leading to a Poisson-type equation $\nabla \cdot \mathbf{j} = -4\pi G H_0 \rho$.</p> <p>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.</p> <p>Preliminary fits to galaxies in the SPARC database show high precision, capturing mild outer rises better than standard deep-MOND flatness.</p> |
| title | Bridging MOND and $\Lambda$CDM by Cosmological Jerk and the $v^3$ Scaling |
| topic | Gravity Physical cosmology Mathematical physics Physics/methods Theoretical physics |
| url | https://doi.org/10.5281/zenodo.18693198 |