Abstract
Abstract In this paper we propose an alternative cosmography by considering Hořava–Lifshitz gravity as a model of quantum gravity (QG) 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 Ω k = − 0.02 1 − 0.029 + 0.023 with H 0 = 71.90 4 − 1.347 + 1.406 , without showing the standard reported 3.4- σ inconsistency. Furthermore, we obtained a specific value for the Hořava parameter ω ≈ −3.8 × 10 −14 , which can be interpreted as a measure of a quantum effect and could be used to further test this QG model. We conclude that classically, according to the ΛCDM model, our Universe seems to be spatially flat, but in fact, it is curved from a quantum point of view.