Classical Spacetime from Quantum Gravity

Abstract

We show how classical spacetime emerges from quantum gravity through the study of a quantum FRW cosmological model coupled to a free massive scalar field using a new asymptotic expansion method of the Wheeler-DeWitt equation. It is shown that the coherent states of the nonadiabatic basis of a particular generalized invariant give rise to the quantum back reaction of matter field proportional to classical energy and the Einstein-Hamilton-Jacobi with matter becomes equivalent to the classical Einstein equation.

10 pages, ReVTeX, No Figures

References in corpus (3)

• New Asymptotic Expanstion Method for the Wheeler-DeWitt Equation
• The Problem of Time and Quantum Black Holes
• Unitarity Condition on Quantum Fields in Semiclassical Gravity

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