Probabilidade de tunelamento quântico para o surgimento de um universo clássico preenchido com gás de Chaplygin e poeira

Abstract

The present work aims to analyze the quantum dynamics contained in the Planck era of the Universe, its emergence mechanism for the inflationary phase and its classical dynamics in a homogeneous and isotropic model, composed of a perfect fluid in the form of dust and a Chaplygin gas. The analysis was carried out through probabilistic calculations of quantum tunneling of a numerical model quantized by the Crank-Nicolson method, whose calculations were performed in terms of the model parameters. The results show a greater susceptibility for the classical emergence of a Universe filled with dust and Chaplygin gas, when compared to results found in the literature for a model in which the Universe is filled with Chaplygin gas and radiation.