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Fractal universe and quantum gravity made simple

Fabio Briscese1,2,3 and Gianluca Calcagni4,*

  • *Contact author: g.calcagni@csic.es
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Phys. Rev. D 114, 046011 – Published 11 August, 2026

DOI: https://doi.org/10.1103/kbkv-vs5t

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.

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Phys. Rev. D 114, 046011– Published 11 August, 2026
  • Received 25 March 2026
  • Accepted 10 July 2026
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