Quantum cosmology and the accelerated Universe

TL;DR

This paper investigates quantum cosmological effects in a quantized FLRW model with a scalar field, showing that quantum trajectories can produce accelerated expansion similar to dark energy, potentially explaining supernova observations.

Contribution

It demonstrates that quantum effects in the Bohm-de Broglie framework can lead to accelerated cosmic expansion, offering a quantum explanation for dark energy-like behavior.

Findings

Quantum trajectories exhibit acceleration during evolution.

Luminosity-redshift relation mimics classical models with cosmological constant for z<1.

Quantum effects can account for supernova observations without dark energy.

Abstract

The quantized Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) model minimally coupled to a free massless scalar field is studied and interpreted in the Bohm-de Broglie framework. We analyze the quantum bohmian trajectories corresponding to a certain class of gaussian packets, solutions of the Wheeler-DeWitt equation. We show that these bohmian trajectories undergo an accelerated expansion in the middle of its evolution due to the presence of quantum cosmological effects in this period. It is shown that the luminosity-redshift relation in the quantum cosmological model can be made close to the corresponding relation coming from the classical model suplemented by a cosmological constant, for $z<1$. In this way we have the posibility of interpreting the present observations of high redshift supernovae as the consequence of a quantum cosmological effect.