Particles statistics of the holographic screen lead to Modified Newtonian Dynamics (MOND)

Details Particles statistics of the holographic screen lead to Modified Newtonian Dynamics (MOND) Particles statistics of the holographic screen lead to Modified Newtonian Dynamics (MOND)

2011-06-21

arxiv.org/abs/1106.4108v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

Employing a thermodynamical interpretation of gravity based on the holographic principle and assuming underlaying particle statistics, fermionic or bosonic, for excitations of the holographic screen leads to Modified Newtonian Dynamics (MOND) in the low energy limit. A connection between the acceleration scale a_0 appearing in MOND and the Fermi energy of the holographic fermionic degrees of freedom is obtained. In this formulation the physics of MOND results from the fermionic specific heat. Due to the to dimensionality of the screen the formalism is general and applies to two dimensional bosonic excitations as well. Based on the statistical mechanical interpretation of MOND, its cosmological implications are understood: the connection between a_0 and the Hubble constant is described as a quantum uncertainty relation; and the relationship between a_0 and the cosmological constant is obtained.

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