Fractal universe and quantum gravity made simple

TL;DR

This paper develops a quantum gravity theory on fractal spacetimes that is super-renormalizable and unitary, offering a promising approach to unify quantum mechanics and gravity across all energy scales.

Contribution

It formulates a super-renormalizable, unitary quantum gravity field theory on fractal spacetimes, advancing the program of quantum gravity research.

Findings

The theory is shown to be super-renormalizable and unitary at all perturbative orders.

Potential tests include black hole physics and gravitational wave observations.

Abstract

Quantum field theory (QFT) on fractal spacetimes is a program aiming at quantizing the gravitational interaction consistently at all energy scales thanks to an intrinsically or dynamically induced multiscale or multifractal-like spacetime geometry that regularizes the infinities of standard QFT. We reach the goal of this program and formulate a field theory of quantum gravity which is shown to be super-renormalizable and unitary at all perturbative orders. Viable and unviable ways to test this proposal through black holes and gravitational waves are discussed.