Derivation of Quantum Cosmological Model Equation for Singularity, Flatness and Horizon problem

Abstract

In this work the generalized gravitation energy momentum tensor is utilized to obtain and related the Hamiltonian and.momentum to each otherThe Hamiltonian momentum relation together with the ordinary operator formalism in quantum mechanics is.used to obtain cosmological quantum equation The quantum cosmological equation utilized to findcosmic scale factor and the wave function which is related to the university matter-energy density. All solution predict expanding universe with decreasing matter-energy density. Thus solutions are in conformity with a astronomical observations and indicates that the model.Shares with standard big bang its successes The cosmological model being nonsingular and predicting inflation is thus capable of overcoming the setbacks of standard big bang model. These setbacks.include singularity, horizon, flatness and energy problems