Quantum-Reduced Loop Gravity: Cosmology

TL;DR

This paper introduces Quantum-Reduced Loop Gravity, a new framework for studying symmetric sectors of loop quantum gravity, and applies it to the inhomogeneous Bianchi I model to connect quantum cosmology with the full theory.

Contribution

It proposes a novel reduction method for loop quantum gravity and demonstrates its application to a cosmological model, bridging loop quantum cosmology and the full theory.

Findings

Quantum-Reduced Loop Gravity effectively models inhomogeneous Bianchi I cosmology.

The framework provides insights into the relationship between Loop Quantum Cosmology and full Loop Quantum Gravity.

The approach simplifies the canonical quantization of symmetric sectors.

Abstract

We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of Quantum-Reduced Loop Gravity we study the inhomogeneous Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between Loop Quantum Cosmology and the full theory.