Dark Matter as an effect of a minimal length

TL;DR

This paper explores how a minimal length, inspired by quantum gravity, can modify gravity laws and potentially explain dark matter effects on galactic rotation curves without invoking unseen matter.

Contribution

It introduces a phenomenological model linking minimal length effects to gravity modifications and investigates their impact on galactic rotation curves, offering an alternative to dark matter.

Findings

Modified gravity law derived from minimal length effects

Potential to mimic dark matter effects in galaxy rotation curves

Implications for quantum gravity phenomenology

Abstract

In this work, we consider the implications of a phenomenological model of quantum gravitational effects related to a minimal length, implemented via the Generalized Uncertainty Principle. Such effects are applied to the Bekenstein-Hawking entropy to derive a modified law of gravity through Verlinde's conjecture. Implications on galactic scales, and in particular on the shape of rotational curves, are investigated, exploring the possibility to mimic dark matter-like effects via a minimal length.