Entropic gravity, minimum temperature, and modified Newtonian dynamics

Abstract

Verlinde's heuristic argument for the interpretation of the standard Newtonian gravitational force as an entropic force is generalized by the introduction of a minimum temperature (or maximum wave length) for the microscopic degrees of freedom on the holographic screen. With the simplest possible setup, the resulting gravitational acceleration felt by a test mass m from a point mass M at a distance R is found to be of the form of the modified Newtonian dynamics (MOND) as suggested by Milgrom. The corresponding MOND-type acceleration constant is proportional to the minimum temperature, which can be interpreted as the Unruh temperature of an emerging de-Sitter space. This provides a possible explanation of the connection between local MOND-type two-body systems and cosmology.

12 pages, v6: published version

References in corpus (7)

• Entropic Accelerating Universe
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• Debye entropic force and modified Newtonian dynamics
• The holographic screen at low temperatures
• Nonhomogeneous Cooling, Entropic Gravity and MOND Theory
• Newtonian gravity as an entropic force: Towards a derivation of G
• Newton's gravitational coupling constant from a quantum of area

Cited by in corpus (17)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Emergent Gravity and the Dark Universe
• A new relativistic theory for Modified Newtonian Dynamics
• MOND as a regime of quantum gravity
• Noncovariance at low accelerations as a route to MOND
• Galactic dynamics and long-range quantum gravity
• Testing MONDian Dark Matter with Galactic Rotation Curves
• Quantum statistical modified entropic gravity as a theoretical basis for MOND
• Challenges for Lambda-CDM and MOND
• Quantum particle statistics on the holographic screen leads to Modified Newtonian Dynamics (MOND)
• Cosmology of the Galileon extension of Bekenstein's theory of relativistic Modified Newtonian Dynamics
• A new estimator of the deceleration parameter from galaxy rotation curves
• Quantized Black Hole and Heun function
• Entropic-gravity derivation of MOND
• Galaxy dynamics tracing quantum cosmology beyond $\Lambda$CDM below the de Sitter scale of acceleration
• Point-like source solutions in modified gravity with a critical acceleration
• Local Short-Time Acceleration induced Spectral Line Broadening and Possible Implications in Cosmology