A Brane World Model with Intersecting Branes
Matej Pavsic

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.
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