Localization of gravity in brane world with arbitrary extra dimensions

TL;DR

This paper investigates gravity localization in higher-dimensional brane worlds using a confining potential, revealing graviton mass quantization and offering insights into the cosmological constant problem across different scales.

Contribution

It introduces a novel approach to gravity localization with arbitrary extra dimensions, demonstrating graviton mass quantization and addressing the cosmological constant discrepancy.

Findings

Graviton mass is quantized in this framework.

The cosmological constant discrepancy arises from scale-dependent measurements.

The approach provides a new perspective on gravity in higher-dimensional spaces.

Abstract

We study the induced 4-dimensional linearized Einstein field equations in an m-dimensional bulk space by means of a confining potential. It is shown that in this approach the mass of graviton is quantized. The cosmological constant problem is also addressed within the context of this approach. We show that the difference between the values of the cosmological constant in particle physics and cosmology stems from our measurements in two different scales, small and large.