Primordial power spectrum from the Dapor-Liegener model of loop quantum cosmology

TL;DR

This paper analyzes the primordial power spectrum in a new loop quantum cosmology model, showing how different quantization schemes influence observable predictions like the CMB spectrum.

Contribution

It introduces a novel effective Hamiltonian in loop quantum cosmology and explores its implications for the primordial power spectrum and early universe dynamics.

Findings

Predictions for the scalar perturbation power spectrum are derived.

Differences between quantization schemes are linked to observable features.

The model suggests a quantum phase with constant Planckian curvature before classical emergence.

Abstract

We compute the predictions for the power spectrum of scalar perturbations from a recent new proposal for the effective Hamiltonian of loop quantum cosmology. The model provides an attractive picture of the early cosmos, in which our classical Friedmann-Lema\^itre-Robertson-Walker universe emerges from a quantum phase where the spacetime curvature remains constant and of Planckian size. We compare the predictions for the cosmic microwave background with previous results obtained within loop quantum cosmology, and discuss the differences and similarities. The analysis provides an example of the way differences between quantization schemes can be translated to physical observables.