Classical and quantum Big Brake cosmology for scalar field and tachyonic models

TL;DR

This paper investigates the relationship between classical and quantum cosmological singularities, focusing on Big Brake singularities in scalar and tachyonic models, and finds quantum effects do not prevent these soft singularities.

Contribution

It demonstrates that quantum avoidance occurs for strong singularities but not for soft Big Brake singularities, revealing a classical-quantum correspondence in cosmology.

Findings

Quantum effects do not prevent Big Brake singularities.

Soft singularities are traversable in classical cosmology.

Strong singularities are not avoided by quantum effects.

Abstract

We study a relation between the cosmological singularities in classical and quantum theory, comparing the classical and quantum dynamics in some models possessing the Big Brake singularity - the model based on a scalar field and two models based on a tachyon-pseudo-tachyon field . It is shown that the effect of quantum avoidance is absent for the soft singularities of the Big Brake type while it is present for the Big Bang and Big Crunch singularities. Thus, there is some kind of a classical - quantum correspondence, because soft singularities are traversable in classical cosmology, while the strong Big Bang and Big Crunch singularities are not traversable.