A Simple Holographic Model of the Cosmological Constant

TL;DR

This paper proposes a simple holographic model for the cosmological constant, suggesting it arises from surface vacuum energy density rather than bulk, and uses fine tuning to match observed cosmic scale growth.

Contribution

It introduces a holographic-inspired surface vacuum energy model to estimate the cosmological constant and explains cosmic expansion through surface energy distribution.

Findings

Model reproduces observed scale factor growth from Planck length to 10 Gyr.

Suggests cosmological constant is linked to surface rather than bulk energy density.

Provides a fine-tuned estimate consistent with observed cosmic acceleration.

Abstract

We examine a simple theoretical model to estimate (by fine tuning condition) the value of the cosmological constant. We assume, in analogy with holographic principle, that cosmological constant, like classical surface tension coefficient in a liquid drop, does not correspond to a volume (bulk) vacuum mass (energy) density distribution, but rather to the surface vacuum mass (energy) density distribution. Then the form of given surface mass distribution and fine tuning condition imply observed growing (for about 61 order of magnitude) of the scale factor, from the initial (corresponding to Planck length), to the recent, at the beginning of the cosmic acceleration (corresponding to 10 Glyr length).