A modified Ozer-Taha type cosmological model

TL;DR

This paper introduces a modified nonsingular cosmological model where the universe's radius is complex in emptiness and real with matter, predicting specific density parameters in the current era.

Contribution

It presents a novel modification to the Ozer-Taha cosmological model, incorporating complex and real universe radii based on matter content.

Findings

Predicts Omega_M ≈ 4/3, Omega_V ≈ 2/3, Omega_ << 1 in the current era

Provides a framework for a nonsingular universe with matter and vacuum densities

Suggests a universe with negative energy density in the model

Abstract

A modified version of the Ozer and Taha nonsingular cosmological model is presented on the assumption that the universe's radius is complex if it is regarded as empty, but it contains matter when the radius is real. It also predicts the values: Omega_M =rho_M /rho_C \approx 4/3, Omega_V = rho_V /rho_C \approx 2/3, and Omega_ = rho_ /rho_C << 1 in the present nonrelativistic era, where rho_M = matter density, rho_V = vacuum density, rho_= negative energy density and rho_{C} = critical density.