Dynamics and entanglement in spherically symmetric quantum gravity

TL;DR

This paper explores quantum gravity in spherical symmetry, constructing Hamiltonian and semiclassical states, and demonstrates that matter-gravity entanglement is fundamental to physical states regardless of black hole presence.

Contribution

It introduces explicit constructions of Hamiltonian and semiclassical states in spherical quantum gravity, highlighting the inherent matter-gravity entanglement in physical states.

Findings

Matter-gravity entanglement is inherent in physical states.

Constructed explicit Hamiltonian and semiclassical states.

Entanglement persists regardless of black hole existence.

Abstract

The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the Hamiltonian operator, and of semiclassical states peaked on constraint free data. Such states provide explicit examples of physical states. We also show that matter-gravity entanglement is an inherent feature of physical states, whether or not there is a black hole.