Cosmic coincidence problem and variable constants of physics

TL;DR

This paper explores a cosmological model with time-varying constants and modified Chaplygin gas, showing it can explain the universe's transition from matter to dark energy dominance and address the cosmic coincidence problem.

Contribution

It introduces a model with dynamic $\Lambda$ and G coupled with modified Chaplygin gas, providing a potential solution to the cosmic coincidence problem.

Findings

Constants evolve over time, matching observational data.

Model interpolates between matter and dark energy dominated phases.

Achieves $\omega$ close to -1 with small fluctuations.

Abstract

The standard model of cosmology is investigated using time dependent cosmological constant $\Lambda$ and Newton's gravitational constant $G$. The total energy content is described by the modified Chaplygin gas equation of state. It is found that the time dependent constants coupled with the modified Chaplygin gas interpolate between the earlier matter to the later dark energy dominated phase of the universe. We also achieve a convergence of parameter $\omega\to-1$, with minute fluctuations, showing an evolving $\omega$. Thus our model fairly alleviates the cosmic coincidence problem which demands $\omega=-1$ at present time.