Quantum signatures from Horava-Lifshitz cosmography

TL;DR

This paper explores quantum effects in cosmology using Horava-Lifshitz gravity, analyzing current data and gravitational wave forecasts to identify quantum signatures and deviations from classical flatness.

Contribution

It introduces a novel cosmography approach incorporating Horava-Lifshitz gravity to detect quantum effects at the cosmological scale.

Findings

Identifies a non-flat universe with specific curvature parameter.

Finds a quantum-specific Horava parameter value.

Suggests quantum effects imply a curved universe, contrasting classical flatness.

Abstract

In this paper we propose an alternative cosmography by considering Horava-Lifshitz gravity as a model of quantum gravity to search for quantum effects at the cosmological level. For our analyses we consider current late universe surveys and a Gravitational Waves forecast from Einstein Telescope. We found naturally a non-flat scenario with $\Omega_k =-0.021^{+0.023}_{-0.029}$ with $H_0 = 71.904^{+1.406}_{-1.347}$, without showing the standard reported $3.4$-$\sigma$ inconsistency. Furthermore, we obtained a specific value for the Ho\v rava parameter $\omega \approx -3.8\times 10^{-14}$, which can be interpreted as a measure of a quantum effect and could be used to further test this quantum gravity model. We conclude that classically, according to the $\Lambda$CDM model, our universe seems to be spatially flat, but in fact, it is curved from a quantum point of view.