Quantum aspects of gravity

Principal investigator:Tajron Jurić
PI's Host institution: Ruđer Bošković Institute
Project duration: 08/12/2025 - 07/12/2028
 

Project Summary

This project explores quantum gravity models, focusing on the spectral properties of black holes, including quasinormal modes (QNMs), and the nature of gravitational singularities. Motivated by recent breakthroughs in astrophysics, such as the Event Horizon Telescope and LIGO detections, we investigate quantum modifications to general relativity within black hole physics, including metric perturbations and gravitational waves. Our objectives include developing and analyzing quantum models using noncommutative differential geometry to address gravitational perturbations of Schwarzschild, Kerr and slowly rotating Kerr black holes, revealing unique spectral features. We will study QNM spectra via semi-analytical and numerical methods, testing for the presence of isospectrality violations, and examining the potential smearing out of classical singularities through quantum mechanical probes. The methodological approach incorporates the algebra of infinitesimal diffeomorphisms and Hopf algebras to construct a deformed Leibniz rule. Furthermore, the project will employ an innovative framework based on noncommutative differential geometry, building on established methodologies in theoretical physics and fostering international collaboration.

Keywords: quantum gravity, noncommutative geometry, gravity waves, quasinormal modes, singularities

Project Members

List of Publications

Conundrum of regular black holes with nonlinear electromagnetic fields
Ana Bokulić, Tajron Jurić, Ivica Smolić
https://arxiv.org/abs/2510.23711

Noncommutative Regge-Wheeler potential: some nonperturbative results
Nikola Herceg, Tajron Jurić, A. Naveena Kumara, Andjelo Samsarov, Ivica Smolić
https://arxiv.org/abs/2510.08125

Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
Ana Bokulić, Filip Požar
https://arxiv.org/abs/2511.01020

Spectral torsion of the internal noncommutative geometry of the Standard Model
Ludwik Dąbrowski, Sugato Mukhopadhyay, Filip Požar
https://arxiv.org/abs/2511.08159

Emergent relativity: Classical drama at the horizon
Hrvoje Nikolić
http://thphys.irb.hr/wiki/main/images/6/65/Class_drama.pdf

Events, talks and seminars

Project meeting and seminars

05. 02. 2026, Lecture room in the 1. wing RBI, 9:30 – 12h:
 - Tajron Jurić: "Quantum aspects of gravity: where are we now and some future prospects"
 - Nikola Herceg: "Noncommutative Regge-Wheeler potential"
 - Hrvoje Nikolić: "Emergent relativity"
 - Ivica Smolić: "Nonlinear electrodynamics and regular BHs: an overview"
 - Filip Požar: "Spectral triples and NC torsion"
 - Carolina Matte Gregory: "Supergravity"

Conference talks

JGRG 34 Kyoto, Deformed black hole solutions of noncommutative Einstein-NLE action - Filip Požar