A Quantum Cosmological Model With Static and Dynamic Wormholes

TL;DR

This paper quantizes a cosmological model with scalar fields and fluids, discovering static and dynamic quantum wormholes, and showing quantum effects can prevent singularities and horizons in the universe.

Contribution

It introduces a novel continuous set of quantum wormhole solutions for cosmic strings and analyzes their quantum dynamics.

Findings

Existence of static quantum wormholes for radiation.

Discovery of a continuous set of wormholes for cosmic strings.

Quantum forces prevent singularities and horizons.

Abstract

Quantization is performed of a Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field and a perfect fluid with equation of state $p=\alpha \rho$. A well-known discrete set of static quantum wormholes is shown to exist for radiation ($\alpha =1/3$), and a novel continuous set is found for cosmic strings ($\alpha = -1/3$), the latter states having throat radii of any size. In both cases wave-packet solutions to the Wheeler-DeWitt equation are obtained with all the properties of evolving quantum wormholes. In the case of a radiation fluid, a detailed analysis of the quantum dynamics is made in the context of the Bohm-de Broglie interpretation. It is shown that a repulsive quantum force inversely proportional to the cube of the scale factor prevents singularities in the quantum domain. For the states considered, there are no particle horizons either.