Dark energy and normalization of cosmological wave function in modified gravitations

TL;DR

This paper demonstrates that in various modified gravity theories, dark energy remains essential for the normalizability of the cosmological wave function, suggesting a universal link between dark energy and quantum cosmology.

Contribution

It extends the previous understanding from general relativity to modified gravities, showing the universality of dark energy's role in wave function normalizability.

Findings

Dark energy is necessary for wave function normalizability in modified gravities.

The conclusion from general relativity applies to dRGT, Eddington-inspired-Born-Infeld, and Hořava-Lifshitz gravities.

A potential universal relation between dark energy and quantum cosmology is proposed.

Abstract

Based on Wheeler-DeWitt equation derived from general relativity, it had been found that only dark energy can lead to a normalizable cosmological wave function. It is shown in the present work that, for dRGT gravity, Eddington-inspired-Born-Infeld gravity and Ho$\check{\text{r}}$ava-Lifshitz gravity, the previous conclusion can also stand well in quantum cosmology induced from these modified gravities. This observation implies that there might be a universal relation between dark energy and normalizability of the cosmological wave function.