Predicting the Curvature of the Cosmos, and Point of Volume Contraction in a Big Bounce Scenario

Abstract

Based on the latest Planck surveys, the universe is close to being remarkably flat, and yet, within observational error, there is still room for a slight curvature. If the curvature is positive, then this would lead to a closed universe, as well as allow for a big bounce scenario. Working within these assumptions, and using a simple model, we predict that the cosmos may have a positive curvature in the amount, 0 1.001802 Ω = , a value within current observational bounds. For the scaling laws associated with the density parameters in Friedmann's equations, we will assume a susceptibility model for space, where, ( ) a χ , equals the smeared cosmic susceptibility. If we allow the ( ) a χ to decrease with increasing cosmic scale parameter, "a", then we can predict a maximum Hubble volume, with minimum CMB temperature for the voids, before contraction begins, as well as a minimum volume, with maximum CMB temperature, when expansion starts. A specific heat engine model for the cosmos is also entertained for this model of a closed universe.