Heat capacity of Holographic screen inspires MOND theory

Abstract

It is argued that Planck mass may be considered as a candidate for the mass content of degrees of freedom of holographic screen. In addition, employing the Verlinde hypothesis on emergent gravity and considering holographic screen degrees of freedom as a $q$-deformed fermionic system, it is obtained that the heat capacity per degree of freedom inspires the MOND interpolating function. Moreover, the MOND acceleration is achieved as a function of Planck acceleration. Both ultra-relativistic and non-relativistic statistics are studied.

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• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• The distribution and morphologies of Fornax Cluster dwarf galaxies suggest they lack dark matter
• Hydrodynamical structure formation in Milgromian cosmology
• Modified cosmology from quantum deformed entropy
• The Kennicutt-Schmidt law and the main sequence of galaxies in Newtonian and Milgromian dynamics
• Anisotropic cosmology in $q$-deformed entropic gravity
• Generalized Brans-Dicke theory from Verlinde's entropic gravity