Modelling cosmological singularity with compactified Milne space

TL;DR

This paper models the cosmological singularity using a time-dependent orbifold and investigates whether quantum elementary objects can traverse this singularity, providing a foundation for further research.

Contribution

It introduces a novel approach to model the cosmological singularity with a time-dependent orbifold and analyzes quantum states capable of crossing it.

Findings

Quantum states can propagate through the orbifold singularity.

The model supports the possibility of crossing the cosmological singularity.

Provides a basis for more detailed quantum cosmology studies.

Abstract

Recent developments in observational cosmology call for understanding the nature of the cosmological singularity (CS). Our work proposes modelling the vicinity of CS by a time dependent orbifold (TDO). Our model makes sense if quantum elementary objects (particle, string, membrane) can go across the singularity of TDO, and our work addresses this issue. We find quantum states of elementary objects, that can propagate in TDO. Our results open door for more detailed examination.