A Brane World Model with Intersecting Branes

TL;DR

This paper explores a brane world model with intersecting branes, where matter arises from intersections and follows geodesics, with gravity emerging from quantum fluctuations, offering a background-independent formulation.

Contribution

It introduces a novel intersecting brane model where matter and gravity emerge naturally, providing a background-independent framework.

Findings

Matter includes dust and p-branes following geodesics

Gravity's kinetic term arises from quantum brane fluctuations

Model can be formulated without a fixed background

Abstract

A brane world model is investigated, in which there are many branes that may intersect and self intersect. One of the branes, being a 3-brane, represents our spacetime, while the other branes, if they intersect our brane world, manifest themselves as matter in our 3-brane. It is shown that such a matter encompasses dust of point particles and higher dimensional p-branes, and all those objects follow "geodesics" in the world volume swept by our 3-brane. We also point point out that such a model can be formulated in a background independent way, and that the kinetic term for gravity arises from quantum fluctuation of the brane.