Dimensionality and the Cosmological Constant

TL;DR

This paper explores how in a Kaluza-Klein cosmological model with flux, the universe's external dimensions are determined and suggests the internal space likely has a zero effective cosmological constant, impacting theories of higher-dimensional cosmology.

Contribution

It demonstrates the relationship between seed instantons and the resulting universe's dimensions, and shows the internal space's effective cosmological constant is probably zero.

Findings

External spacetime dimensions are determined by seed instantons.

Internal space's effective cosmological constant is likely zero.

Provides insights into higher-dimensional cosmological models.

Abstract

In the Kaluza-Klein model with a cosmological constant and a flux, the external spacetime and its dimension of the created universe from a $S^s \times S^{n-s}$ seed instanton can be identified in quantum cosmology. One can also show that in the internal space the effective cosmological constant is most probably zero.