Herceg, Nikola; Konjik, Nikola; Kumara, A. Naveena; Samsarov, Anđelo (2026) Probing quantum spacetime with Dirac quasinormal modes. The European Physical Journal C, 86 (2). ISSN 1434-6052
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Abstract
Noncommutative (NC) geometry may open an alternative route to quantum gravity. We study the signatures that quantum structure of spacetime may leave on Dirac quasinormal mode spectrum in the setting defined by a common astrophysical background. For that purpose we examine the influence of spacetime noncommutativity on the Dirac quasinormal modes in modified Reissner-Nordstr & ouml;m black hole spacetime. The framework for the latter study is provided by the effective model of NC gravity coupled to fermions introduced in Dimitrijevi & cacute; & Cacute;iri & cacute; et al. (Eur Phys J C 83:387, 2023). This model describes a classical Dirac field coupled to a modified Reissner-Nordstr & ouml;m geometry where the corresponding metric acquires an additional nonvanishing r-phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r-\varphi $$\end{document} component. As the earlier study shows, this model appears to be equivalent to a model of semiclassical NC gauge theory in which a NC gauge field is coupled to a NC fermion field on the one side and the classical Reissner-Nordstr & ouml;m background on the other. We compute the resulting Dirac quasinormal modes and compare them with those of the undeformed Reissner-Nordstr & ouml;m spacetime. The results show that spacetime noncommutativity modifies both the oscillation frequencies and damping rates, and induces features in the effective potential and quasinormal mode spectrum reminiscent of a Zeeman-like splitting. Since such geometric modifications are expected to become relevant only near the Planck scale, these effects are more naturally associated with microscopic rather than astrophysical black holes.
| Item Type: | Article | ||||||||
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| Uncontrolled Keywords: | Dirac quasinormal modes; Noncommutative (NC) geometry; black holes | ||||||||
| Subjects: | NATURAL SCIENCES > Physics | ||||||||
| Divisions: | Theoretical Physics Division | ||||||||
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| Depositing User: | Ana Zečević | ||||||||
| Date Deposited: | 20 May 2026 09:53 | ||||||||
| URI: | https://fulir.irb.hr:/id/eprint/11980 | ||||||||
| DOI: | 10.1140/epjc/s10052-026-15380-1 |
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