Pure Quantum Solutions of Bohmian Quantum Gravity

TL;DR

This paper explores pure quantum solutions in Bohmian quantum gravity where quantum and classical potentials are equal and cancel each other, using perturbation and linear field approximation methods.

Contribution

It introduces a novel analysis of pure quantum solutions in Bohmian quantum gravity where quantum and classical potentials balance each other.

Findings

Pure quantum solutions exist where quantum potential equals classical potential.

Solutions are obtained through perturbation and linear field approximation.

Quantum and classical potentials sum to zero in these solutions.

Abstract

In this paper we have investigated the pure quantum solutions of Bohmian quantum gravity. By pure quantum solution we mean a solution in which the quantum potential cannot be ignored with respect to the classical potential, especially in Bohmian quantum gravity we are interested in the case where these two potentials are equal in their magnitude and in fact their sum is zero. Such a solutions are obtained both using the perturbation and using the linear field approximation.