Holographic time-dependent entanglement entropy in $p$-brane gas geometries

Abstract

We investigate holographic cosmologies appearing in the braneworld model with a uniformly distributed p-brane gas. When p-branes extend to the radial direction, an observer living in the brane detects (p − 1)-dimensional extended objects. On this background, we show that the braneworld model reproduces the expanding universes of the standard cosmology. In an expanding universe with a matter, we investigate the entanglement entropy between the visible and invisible universes across the cosmological (or particle) horizon. We show that, though the visible and invisible universes are causally disconnected, the nonlocal quantum correlation gives rise to a nontrivial time-dependent entanglement entropy relying on the matter.

Dual Geometry of Entanglement Entropy via Deep Learning

“…where the horizon u h crucially relies on the energy density of a p-brane gas [37,38]. Due to the existence of a horizon for a Schwarzschild-type black hole solution, a blackening factor can be reexpressed as…”

“…In addition to the BTZ black hole, there exists another black hole solution called the string cloud geometry [37,38,[44][45][46][47][48]. When open strings are uniformly distributed in an AdS space, one obtains the string cloud geometry characterized by (6).…”