Quantum method of determination of penetrability in FRW model with radiation

TL;DR

This paper develops a quantum approach to calculate the probability of universe nucleation in a closed FRW model with radiation, using a corrected tunneling boundary condition and a new wave definition.

Contribution

It introduces a novel definition of a "free" wave in strong fields and corrects Vilenkin's tunneling boundary condition for quantum cosmology.

Findings

Calculated penetrability and reflection probabilities for universe birth.

Analyzed tunneling probability as a function of radiation energy.

Provided a fully quantum stationary approach to quantum cosmology.

Abstract

In paper the closed Friedmann-Robertson-Walker model with quantization in presence of the positive cosmological constant, radiation and Chaplygin gas is studied. For analysis of tunneling probability for birth of an asymptotically deSitter, inflationary Universe as a function of the radiation energy a new definition of a "free" wave propagating inside strong fields is introduced. Vilenkin's tunneling boundary condition is corrected, penetrability and reflection are calculated in fully quantum stationary approach.