Has the density of sources of gamma-ray burts been constant over the last ten billion years ?

TL;DR

This paper explores a tired-light cosmology model to estimate the evolution of gamma-ray burst sources, suggesting their density has remained nearly constant over the past ten billion years, indicating a stable matter density.

Contribution

It introduces a tired-light mechanism linked with the Rh=ct cosmology to estimate matter density evolution from gamma-ray burst data.

Findings

Gamma-ray burst source density is nearly constant up to redshift 4.

Matter density has been roughly constant over the last ten billion years.

Supports a stable, equilibrium state of matter over cosmic time.

Abstract

A generic tired-light mechanism is examined in which a photon, like any particle moving in a medium, experiences friction, that is, a force resisting its motion. If the velocity of light is assumed to be constant, this hypothesis yields a Hubble-like law which is also a consequence of the Rh = ct cosmology. Herein, it is used for estimating matter density as a function of redshift, allowing to show that the density of sources of long gamma-ray bursts appears to be nearly constant, up to z $\approx$ 4. Assuming that the later is a fair probe of the former, this means that matter density has been roughly constant over the last ten billion years, implying that, at least over this period, matter has been in an overall state of equilibrium.