On the area operators of the Husain-Kuchar-Rovelli model and Canonical/Loop Quantum Gravity

TL;DR

This paper examines the connection between matter-defined surface areas and quantum area operators in Loop Quantum Gravity and Rovelli's model, suggesting the discreteness of area spectra may not be observable.

Contribution

It clarifies the relationship between matter-based surface areas and quantum area operators, questioning the observability of discrete spectra in these models.

Findings

Discreteness of area spectra might not be observable.

Relation between matter-defined and quantum area operators is analyzed.

Implications for the physical detectability of quantum geometry are discussed.

Abstract

I investigate the relation between an operative definition of the area of a surface specified by matter fields and the area operators recently introduced in the canonical/loop approach to Quantum Gravity and in Rovelli's variant of the Husain-Kuchar Quantum-Gravity toy model. The results suggest that the discreteness of the spectra of the area operators might not be observable.