Extending cascading gravity model to lower dimensions

TL;DR

This paper extends the cascading gravity model to lower dimensions, demonstrating a consistent embedding of lower-dimensional branes within higher-dimensional spaces, aligning with the 'vanishing dimensions' framework.

Contribution

It introduces a novel extension of the cascading gravity model to lower dimensions, enabling a self-consistent embedding of 3D branes within higher-dimensional structures.

Findings

Successful embedding of 3D branes into 4D branes

Compatibility with the 'vanishing dimensions' framework

Potential implications for dimensionality in gravity models

Abstract

The cascading gravity model was proposed to eliminate instabilities of the original DGP model by embedding our 4D universe into a 5D brane, which is itself embedded in a 6D bulk. Thus gravity cascades from 6D down to 4D as we decrease the length scales. We show that it is possible to extend this setup to lower dimensions as well, i.e. there is a self-consistent embedding of a 3D brane into a 4D brane, which is itself embedded in a 5D bulk and so on. This extension fits well into the "vanishing dimensions" framework in which dimensions open up as we increase the length scales.