Schr\"odinger-like quantum dynamics in loop quantized black holes

TL;DR

This paper extends the quantization of spherically symmetric black holes to a Schr"odinger-like framework, enabling a new perspective on quantum states and observables in loop quantum gravity.

Contribution

It introduces a Schr"odinger-like picture for loop quantized black holes, expanding the interpretation of quantum states and Dirac observables.

Findings

Quantum states parametrized by gauge parameters

Extension of Dirac observables to new picture

Framework for local quantum information in black holes

Abstract

We show, following a previous quantization of a vacuum spherically symmetric spacetime carried out in Ref. \cite{gop}, that this setting admits a Schr\"odinger-like picture. More precisely, the technique adopted there for the definition of parametrized Dirac observables (that codify local information of the quantum theory) can be extended in order to accommodate different pictures. In this new picture, the quantum states are parametrized in terms of suitable gauge parameters and the observables constructed out of the kinematical ones on this space of parametrized states.