Third Quantization of Kaluza-Klein Cosmology and Compactification

TL;DR

This paper explores the third quantization of a Kaluza-Klein cosmological model, analyzing universe creation and the statistical explanation of compactification through a novel quantum framework.

Contribution

It introduces a third quantization approach to a Kaluza-Klein model, linking universe creation and compactification to quantum statistical processes.

Findings

Calculated the number density of universes created from nothing

Provided a statistical explanation for compactification

Demonstrated the applicability of third quantization to Kaluza-Klein cosmology

Abstract

We study on the third quantization of a Kaluza-Klein toy model. In this model time ($x$) is defined by the scale factor of universe, and the space coordinate ($y$) is defined by the ratio of the scales of the ordinary space and the internal space. We calculate the number density of the universes created from nothing and examine whether the compactification can be explained statistically by the idea of the third quantization.