Holography and the large number hypothesis

TL;DR

This paper explains Dirac's large number hypothesis using the holographic N bound and cosmological observations, linking macro and microphysics through cosmological principles.

Contribution

It provides a novel explanation for Dirac's large number hypothesis by connecting holography and cosmological data.

Findings

The universe is spatially homogeneous, isotropic, and flat.

The cosmological constant dominates current energy density.

Holographic principles can explain macro-micro physics relations.

Abstract

Dirac's large number hypothesis is motivated by certain scaling transformations that relate the parameters of macro and microphysics. We show that these relations can actually be explained in terms of the holographic $N$ bound conjectured by Bousso and a series of purely cosmological observations, namely, that our universe is spatially homogeneous, isotropic, and flat to a high degree of approximation and that the cosmological constant dominates the energy density at present.