Non-existence of Extended Holographic Dark Energy with Hubble Horizon

TL;DR

This paper proves a no-go theorem showing that the extended holographic dark energy model cannot use the Hubble horizon as the infrared cutoff when the Brans-Dicke parameter exceeds 10^4, even with dark matter interaction.

Contribution

It establishes a theoretical no-go theorem ruling out the Hubble horizon as the infrared cutoff in extended holographic dark energy models under realistic Brans-Dicke constraints.

Findings

The Hubble horizon cannot serve as the infrared cutoff in the model.

The no-go theorem holds even with dark matter-dark energy interaction.

The result constrains the viability of certain holographic dark energy models.

Abstract

The extended holographic dark energy model with the Hubble horizon as the infrared cutoff avoids the problem of the circular reasoning of the holographic dark energy model. We show that the infrared cutoff of the extended holographic dark energy model cannot be the Hubble horizon provided that the Brans-Dicke parameter $\omega$ satisfies the experimental constraint $\omega> 10^4$, and this is proved as a no-go theorem. The no-go theorem also applies to the case in which the dark matter interacts with the dark energy.