2013/02/28 by E. Pazy · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Entropy (arrow of time) #Excited state #Holography #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.87.084063
published as Phys. Rev. D 87, 084063 (2013) · 17 pages, no figures, added references
openalex publication_date 2013/04/26 · arxiv created 2013/05/10 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Considering the quantum statistics of the degrees of freedom on the holographic screen, it is shown that the ratio of the number of excited bulk degrees of freedom to the number of excited surface degrees of freedom is given by the modified Newtonian dynamics (MOND) interpolating function \stackrel\texttildelow\ensuremathμ. This relationship is shown to hold also in aquadratic Lagrangian theory and in the extension of MOND to de Sitter space. Based on the relationship between the entropy and the number of degrees of freedom on the holographic screen, a simple expression, relating the MOND interpolating function to the ratio of the two-dimensional entropy to Bekenstein-Hawking entropy, is obtained. In terms of this expression MOND can be viewed as a modification of gravity arising due to a bound on the maximum entropy for the holographic screen.