Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.16009v1</id>\n    <title>A minimal fractional deformation of Newtonian gravity</title>\n    <updated>2026-03-16T23:39:10Z</updated>\n    <link href='https://arxiv.org/abs/2603.16009v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.16009v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>We consider a minimal fractional deformation of Newtonian gravity characterized by a single parameter $α$. In the limit $α\\to 1$, the theory reduces to standard Newtonian gravity. Previous works showed that the $Λ$CDM cosmology consistently emerges from this framework. Using a single potential, the model reproduces the full sequence of cosmic evolution (from a nonsingular pre--inflationary phase and a stable inflationary attractor to the radiation- and matter-dominated eras and the present accelerated expansion) and accounts for the growth of large-scale structure for $|α-1|\\ll1$, in agreement with current observations. Here we show that the same fractional Newtonian model also describes key weak--field tests, including the perihelion precession of Mercury and the gravitational deflection of light, using a unified potential with the same constraint on $α$. These results suggest that the minimal fractional Newtonian framework may provide a unified phenomenological description of gravitational dynamics from Solar-System scales to cosmology. Finally, this fractional cosmological framework may offer new perspectives on problems such as the cosmological constant, the hierarchy of cosmological scales, and the Hubble tension.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='gr-qc'/>\n    <published>2026-03-16T23:39:10Z</published>\n    <arxiv:comment>6 pages, no figure</arxiv:comment>\n    <arxiv:primary_category term='gr-qc'/>\n    <author>\n      <name>S. M. M. Rasouli</name>\n    </author>\n  </entry>"
}