Nonhomogeneous Cooling, Entropic Gravity and MOND Theory

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.

extended version. To appear in IJTP

References in corpus (5)

• The Tensor-Vector-Scalar theory and its cosmology
• Entropic Corrections to Friedmann Equations
• Insight into the baryon-gravity relation in galaxies
• Statistical Origin of Gravity
• The holographic screen at low temperatures

Cited by in corpus (9)

• (1+1)-Dimensional Entropic Gravity
• Entropic gravity, minimum temperature, and modified Newtonian dynamics
• Quantum statistical modified entropic gravity as a theoretical basis for MOND
• Quantum particle statistics on the holographic screen leads to Modified Newtonian Dynamics (MOND)
• Heat capacity of Holographic screen inspires MOND theory
• The Effects of Minimal Length in Entropic Force Approach
• Tsallis' entropy, modified Newtonian accelerations and the Tully-Fisher relation
• How can rainbow gravity affect on gravitational force?
• Point-like source solutions in modified gravity with a critical acceleration