# Emergence of space and expansion of universe

## TL;DR

This paper presents an analytical model explaining the universe's expansion as emergence of space, fitting observational data and predicting a transition from deceleration to acceleration consistent with a cosmological constant.

## Contribution

It analytically solves Padmanabhan's emergence equation assuming energy density as a function of Hubble parameter, linking emergence with cosmic evolution.

## Key findings

- Universe transitions from decelerated to accelerated expansion.
- Model fits observational data and predicts a cosmological constant.
- Horizon entropy evolution supports the emergence framework.

## Abstract

According to the principle of emergence, the expansion of the universe can be explained as the emergence of space with the progress of cosmic time. We have analytically solved the equation of emergence proposed by Padmanabhan by assuming the Komar energy density $\rho+3P$ as a function of the Hubble parameter. The resulting model describes the evolution of the universe, which proceeds towards a final de Sitter state. Model parameters have been extracted using the cosmological observational data. Further, the horizon entropy evolution of the model has been studied. The model predicts a universe having a transition from a prior decelerated epoch to a late accelerated epoch and reasonably predicts the cosmological constant.