Inhomogeneous extra space as a tool for the top-down approach

TL;DR

This paper explores a top-down approach to 6-dimensional space, linking the cosmological constant to extra space metrics, and examines quantum corrections' effects on these metrics during energy scale descent.

Contribution

It develops a detailed method for determining the 6D extra space metric and analyzes quantum corrections' impact within a top-down framework.

Findings

Connection established between cosmological constant and extra space metric

Quantum corrections have minimal influence on the metric during energy descent

Method allows accurate determination of the extra space metric

Abstract

In this paper, the top-down approach for the 6-dimensional space has been elaborated. The connection between the cosmological constant and the extra space metric has been obtained. The metric can be found with the necessary accuracy. It is shown that descent from high energies to the low ones leads to the quantum corrections which influence weakly the metric of extra space.