Quantum Reduced Loop Gravity: a realistic Universe

TL;DR

This paper develops a quantum cosmological model within Quantum Reduced Loop Gravity, analyzing semiclassical states and effective dynamics that resemble Loop Quantum Cosmology, with specific insights into the regulator and inverse-volume corrections.

Contribution

It introduces a new quantum flat universe model in QRLG using cuboidal graphs and explores its semiclassical dynamics, connecting it to LQC.

Findings

Semiclassical states constructed for the quantum universe.

Effective dynamics resemble those of LQC.

Inverse-volume corrections are significantly enhanced.

Abstract

We describe the quantum flat universe in QRLG in terms of states based at cuboidal graphs with six-valent nodes. We investigate the action of the scalar constraint operator at each node and we construct proper semiclassical states. This allows us to discuss the semiclassical effective dynamics of the quantum universe, which resembles that of LQC. In particular, the regulator is identified with the third root of the inverse number of nodes within each homogeneous patch, while inverse-volume corrections are enhanced.