Is the Cosmic big Trip Just a Classical Wormhole Artifact?

Pedro F González-Daz

doi:10.4236/ijaa.2011.12012

Abstract

Starting with the original sub-quantum dark energy model, the current accelerating phase of the evolution of the universe is considered by constructing most economical cosmic models that use just general relativity and some dominating quantum effects associated with the probabilistic description of quantum physics. Two of such models are explicitly considered. They support an interpretation of dark energy in terms of the entangled energy of the universe. The model only violates the dominant energy condition quantum mechanically, that is by an amount given by the entanglement energy density, and gives rise to an asymptotically anti-de Sitter wormhole that becomes an asymptotically flat wormhole in the classical limit. It is shown that for most cosmic solutions such a wormhole does not predict any big trip phenomenon when it accretes phantom like energy.

Highlights

For the time being, the concept of dark energy continues posing one of the biggest problems of all physics which, in spite of many attempts and theories intended to solve or at least ameliorate it, has hitherto not found a conclusive outcome
Starting with the original sub-quantum dark energy model, the current accelerating phase of the evolution of the universe is considered by constructing most economical cosmic models that use just general relativity and some dominating quantum effects associated with the probabilistic description of quantum physics
The model only violates the dominant energy condition quantum mechanically, that is by an amount given by the entanglement energy density, and gives rise to an asymptotically anti-de Sitter wormhole that becomes an asymptotically flat wormhole in the classical limit

Summary

Introduction

The concept of dark energy continues posing one of the biggest problems of all physics which, in spite of many attempts and theories intended to solve or at least ameliorate it, has hitherto not found a conclusive outcome. The cosmic big trip [7,8,9] is a process thought to take eventually place in the far future by which naturally existing wormholes accrete phantom energy in such a way that they will end up engulfing the universe itself The characteristics of this process have been many times reviewed and its main difficulties discussed, including: the static character of the used metrics, the asymptotic flatness of the wormhole space-times, the intrinsic quantum instability of the Cauchy (chronology) horizons and the violation of the holographic bounds on entropy and information. It will be seen that the effect of the quantum DEC violating term is to covert an asymptotically flat (e.g. Morris-Thorne) wormhole space-time into its asymptotically anti-de Sitter counter part, which does not give rise to any big trip phenomenon, but leads to a wormhole throat divergence at exactly the same time at which the big rip singularity takes place, in close accordance with the expected co-moving evolution [14]

Asymptotically Flat Space-Time Holes

Violation of Classical DEC

P ln r2