Quantization of enlarged Bianchi I universe

TL;DR

This paper solves the Wheeler-DeWitt equation for an enlarged Bianchi I universe, revealing entangled quantum gravity states and simplifying the Hamiltonian constraint using a novel method.

Contribution

It introduces the up-to-down method to simplify the Wheeler-DeWitt equation for the enlarged Bianchi I universe and analyzes the entanglement of quantum states.

Findings

States are of exponential form

Quantum gravity states are entangled

Simplified Hamiltonian constraint achieved

Abstract

We can solve the Wheeler-DeWitt equation of the enlarged Bianchi I as inhomogeneous type universe with static restriction which had been derived by previous paper. We consider the commutation relation between the static restriction and the Hamiltonian constraint. And we can simplify the usual 3+1 Hamiltonian constraint of the enlarged Biancki I type universe, and we finally show the state's form is the exponential. And we find that the states of the quantum gravity are entangled. Our paper based on the previous work of ours that we call up-to-down method which was aimed to simplify the Wheeler-DeWitt equation.