Dynamics and Light Propagation in a Universe with Discrete Matter Content

TL;DR

This paper explores a universe model with discrete matter instead of continuous fluid, showing how redshift differs from standard cosmology due to photons traveling mainly through empty space.

Contribution

It introduces a discrete matter universe model and analyzes how redshift evolution differs from traditional FRW models.

Findings

Redshift in discrete matter universe deviates from FRW predictions.

Photon paths mainly through empty space cause differences in light propagation.

Averaging matter content does not replicate discrete matter universe dynamics.

Abstract

We discuss a model for a universe with discrete matter content instead of the continuous perfect fluid taken in FRW models. We show how the redshift in such a universe deviates from the corresponding one in an FRW cosmology. This illustrates the fact that averaging the matter content in a universe and then evolving it in time, is not the same as evolving a universe with discrete matter content. The main reason for such deviation is the fact that the photons in such a universe mainly travel in an empty space rather than the continuous perfect fluid in FRW geometry.