The Nonperturbative Hilbert Space of Quantum Gravity With One Boundary

TL;DR

This paper constructs a basis for the nonperturbative Hilbert space in quantum gravity with one boundary and demonstrates its factorization property for two disconnected boundaries.

Contribution

It introduces a basis for the nonperturbative Hilbert space and proves its factorization for multiple boundaries, advancing understanding of quantum gravity's structure.

Findings

Hilbert space basis for quantum gravity with one boundary

Factorization of the Hilbert space for two disconnected boundaries

Insights into the nonperturbative structure of quantum gravity

Abstract

We discuss a basis for the nonperturbative Hilbert space of quantum gravity with one asymptotic boundary. We use this basis to show that the Hilbert space for gravity with two disconnected boundaries factorizes into a product of two copies of the single boundary Hilbert space.