MOND cosmology from entropic force

TL;DR

This paper derives a cosmological model based on MOND using entropic gravity, unifying dark matter and dark energy phenomena with baryonic matter alone, and naturally explaining the coincidence problem.

Contribution

It presents a MOND-based cosmology derived from entropic gravity that explains dark matter and dark energy without non-baryonic matter and addresses the coincidence problem.

Findings

Derives the critical transition acceleration $a_c$ at cosmological scale.

Provides a natural emergence of age-graphic dark energy.

Unifies dark matter and dark energy phenomena with baryonic matter only.

Abstract

We derive the MOND cosmology which is uniquely corresponding to the original MOND at galaxy scales via entropic gravity method. It inherits the key merit of MOND, that is, it reduces the baryonic matter and non-baryonic dark matter into baryonic matter only. For the first time we obtain the critical parameter in MOND, i.e., the transition acceleration $a_c$ at cosmological scale. We thus solve the long-standing coincidence problem $a_c\sim cH_{0}$. More interestingly, a term like age-graphic dark energy emerges naturally. In the frame of this MOND cosmology, we only need baryonic matter to describe both dark matter and dark energy in standard cosmology.