Quantum Potential and Quantum Gravity

TL;DR

This paper applies the quantum potential approach to quantum gravity, deriving a quantum Einstein equation and exploring its solutions, offering a novel perspective on quantum gravitational dynamics.

Contribution

It introduces a quantum potential framework to quantum gravity, leading to the derivation of a quantum Einstein equation and analysis of its solutions.

Findings

Derivation of the quantum Einstein equation from the quantum potential approach

Identification of new features in solutions to quantum gravitational equations

Extension of the quantum potential method to the Wheeler-DeWitt framework

Abstract

The quantum potential approach makes it possible to construct a complementary picture of quantum mechanical evolution which reminds classical equation of motion. The only difference as compared to equations of motion for the underlying classical system is the presence of an additional potential term being a functional of the real part of the wavefunction. In the present paper this approach is applied to the quantum theory of gravity based on Wheeler -- De Witt equation. We describe the derivation of the `quantum Einstein equation' and discuss the new features of their solutions.