# Foliation-based approach to quantum gravity and applications to astrophysics

## TL;DR

This paper reviews and expands a holography-inspired foliation approach to quantum gravity, addressing key problems like the cosmological constant and black hole information, and explores applications to astrophysics such as AGN and gravitational waves.

## Contribution

It introduces a foliation-based quantum gravity framework that tackles major theoretical issues and discusses its potential astrophysical applications.

## Key findings

- One-loop renormalization of coupling constants demonstrated.
- Boundary conditions critically influence the quantization scheme.
- Potential applications to active galactic nuclei and gravitational waves explored.

## Abstract

The recently proposed Holography-inspired approach to quantum gravity is reviewed and expanded. The approach is based on the foliation of the background spacetime and reduction of the offshell states to the physical states. Careful attention is paid to the boundary conditions. It is noted that the outstanding problems such as the cosmological constant problem and black hole information can be tackled from the common thread of the quantized gravity. One-loop renormalization of the coupling constants and the beta function analysis are illustrated. Active galactic nuclei and gravitational waves are discussed as the potential applications of the present quantization scheme to astrophysics.