A Fundamental Scale for Acceleration from the Holographic Principle

Abstract

From the Eddington-Weinberg relationship, which may be explained by the holographic principle and the cosmic coincidence in a flat Universe, it follows that the characteristic gravitational acceleration aN associated with the nucleon and its Compton wavelength is of order the Hubble acceleration H0c in this epoch. A natural scaling for the cosmological constant is obtained from this acceleration term. It also happens that the critical acceleration a0 associated with the MOND theory is of order aN.