The Universe Dynamics from Topological Considerations

TL;DR

This paper proposes a topological brane-world model where the universe's dynamics emerge from initial global topology, involving brane collisions and interactions between scalar and spin-one fields, explaining cosmic evolution.

Contribution

It introduces a novel topological brane model with distinct interior and exterior branes, linking brane collision to the Big Bang and dark matter effects.

Findings

The model reproduces observed universe dynamics post-brane collision.

Scalar fields induce ultra-light scalar field dark matter effects.

Different energy regimes affect the universe's evolution as predicted.

Abstract

We explore the possibility that the dynamics of the universe can be reproduced choosing appropriately the initial global topology of the Universe. In this work we start with two concentric spherical three-dimensional branes S^3, with radius a_1<a_2 immersed in a five-dimensional space-time. The novel feature of this model is that in the interior brane there exist only spin-zero fundamental fields (scalar fields), while in the exterior one there exist only spin-one fundamental interactions. As usual, the bulk of the universe is dominated by gravitational interactions. In this model, like in the Ekpyrotic one, the Big Bang is consequence of the collision of the branes and causes the existence of the particles predicted by the standard model in the exterior brane (our universe). The scalar fields on the interior brane interact with the spin-one fields on the exterior one only through gravitation, they induce the effect of Scalar Field Dark Matter with an ultra-light mass on the exterior one. We discuss two different regimes where the energy density and the brane tension are compared, with the aim to obtain the observed dynamics of the universe after the collision of the branes.