Probing the cosmological singularity with a particle

TL;DR

This paper investigates how a quantum particle transitions across the cosmological singularity in compactified Milne space, revealing a continuous quantum state and potential links to string theory for understanding the singularity.

Contribution

It demonstrates the quantum stability of particle dynamics across the singularity and explores regularization effects, providing insights into cosmological singularity models.

Findings

Quantum state remains continuous at the singularity

Existence of a deterministic link between pre- and post-singularity propagation

Regularization yields dynamics similar to de Sitter space

Abstract

We examine the transition of a particle across the singularity of the compactified Milne (CM) space. Quantization of the phase space of a particle and testing the quantum stability of its dynamics are consistent to one another. One type of transition of a quantum particle is described by a quantum state that is continuous at the singularity. It indicates the existence of a deterministic link between the propagation of a particle before and after crossing the singularity. Regularization of the CM space leads to the dynamics similar to the dynamics in the de Sitter space. The CM space is a promising model to describe the cosmological singularity deserving further investigation by making use of strings and membranes.