Nonhomogeneous Cooling, Entropic Gravity and MOND Theory

TL;DR

This paper derives MOND theory and a modified Friedmann equation using holographic principles, a modified equipartition theorem, and Unruh temperature, providing a new perspective on gravity at galactic scales.

Contribution

It introduces a novel derivation of MOND and related cosmological equations based on holography and a temperature-dependent equipartition theorem, extending previous gravity models.

Findings

Derived MOND theory from holographic principles.

Formulated a modified Friedmann equation compatible with MOND.

Reobtained a modified Newton's law of gravitation.

Abstract

In this paper, by using the holographic principle, a modified equipartition theorem where we assume that below a critical temperature the energy is not equally divided on all bits, and the Unruh temperature, we derive MOND theory and a modified Friedmann equation compatible with MOND theory. Furthermore, we rederive a modified Newton's law of gravitation by employing an adequate redefinition of the numbers of bits.