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Entropic gravity, minimum temperature, and modified Newtonian dynamics · Around

2011

Entropic gravity, minimum temperature, and modified Newtonian dynamics

Klinkhamer, F. R., Kopp, M.

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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.

Built on

W.G. Unruh, “Notes on black hole evaporation,” Phys. Rev. D
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G.W. Gibbons and S.W. Hawking, “Cosmological event horizons, thermodynamics, and particle creation,” Phys. Rev. D
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Earlier work this paper cites.
M. Milgrom, “A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis,” Astrophys. J
1983
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J.S. Bell and J.M. Leinaas, “Electrons as accelerated thermometers,” Nucl. Phys. B
1983
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S.W. Hawking, “Quantum black holes” and “Quantum cosmology” in: S.W. Hawking and R. Penrose, The Nature of Space and Time
1996
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R. Penrose, “On gravity’s role in quantum state reduction,” Gen. Rel. Grav
1996
Earlier work this paper cites.

Similar

H. Narnhofer, I. Peter, and W.E. Thirring, “How hot is the de Sitter space?” Int. J. Mod. Phys. B
1996
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M. Milgrom, “The modified dynamics as a vacuum effect,” Phys. Lett. A
1999
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C.M. Ho, D. Minic, and Y.J. Ng, “Cold dark matter with MOND scaling,” Phys. Lett. B
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E.P. Verlinde, “On the origin of gravity and the laws of Newton,” JHEP
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F.R. Klinkhamer, “Newton’s gravitational coupling constant from a quantum of area,” Mod. Phys. Lett. A
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Then

D.A. Easson, P.H. Frampton, and G.F. Smoot, “Entropic accelerating universe,” Phys. Lett. B
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X. Li and Z. Chang, “Debye entropic force and modified Newtonian dynamics,” Commun. Theor. Phys
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V.V. Kiselev and S.A. Timofeev, ‘The holographic screen at low temperatures,” Mod. Phys. Lett. A
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J.A. Neto, “Nonhomogeneous cooling, entropic gravity and MOND theory,” Int. J. Theor. Phys
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A.M. Polyakov, “Decay of vacuum energy,” Nucl. Phys. B
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