Cosmology in One Dimension: The Two Component Universe

TL;DR

This paper models a one-dimensional universe with dark and luminous matter, analyzing structure formation and fractal properties, revealing differences in their distributions due to dynamics.

Contribution

It introduces a novel one-dimensional model including luminous matter and compares fractal dimensions of dark and luminous matter distributions.

Findings

Both matter types exhibit fractal geometry during evolution.

Dynamical effects cause differences in fractal dimensions.

First comparison of dark and luminous matter fractal properties.

Abstract

We investigate structure formation in a one dimensional model of a matter-dominated universe using a quasi-newtonian formulation. In addition to dark matter, luminous matter is introduced to examine the potential bias in the distributions. We use multifractal analysis techniques to identify structures, including clusters and voids. Both dark matter and luminous matter exhibit fractal geometry as the universe evolves over a finite range. We present the results for the generalized dimensions computed on various scales for each matter distribution. We compare and contrast the fractal dimensions of two types of matter for the first time and show how dynamical considerations cause them to differ.