Covariant holography of a tachyonic accelerating universe

TL;DR

This paper explores the application of the holographic principle to a flat universe filled with a tachyon scalar field, analyzing the placement of holographic screens in different dark energy scenarios, including phantom energy.

Contribution

It introduces a covariant geometric method to identify holographic hypersurfaces in tachyonic dark energy models, comparing them with traditional holographic dark energy approaches.

Findings

Holographic screens are identified for different equations of state.

In phantom scenarios, a screen is located at the big rip hypersurface.

The existence of these screens impacts the formulation of fundamental theories.

Abstract

We apply the holographic principle to a flat dark energy dominated Friedmann-Robertson-Walker spacetime filled with a tachyon scalar field with constant equation of state $w=p/\rho$, both for $w>-1$ and $w<-1$. By using a geometrical covariant procedure, which allows the construction of holographic hypersurfaces, we have obtained for each case the position of the preferred screen and have then compared these with those obtained by using the holographic dark energy model with the future event horizon as the infrared cutoff. In the phantom scenario, one of the two obtained holographic screens is placed on the big rip hypersurface, both for the covariant holographic formalism and the holographic phantom model. It is also analyzed whether the existence of these preferred screens allows a mathematically consistent formulation of fundamental theories based on the existence of a S matrix at infinite distances.