Spin couplings as witnesses of Planck scale phenomenology

Pasquale Bosso; Fabrizio Illuminati; Luciano Petruzziello; Fabian Wagner

doi:10.1140/epjc/s10052-025-13941-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 269
https://doi.org/10.1140/epjc/s10052-025-13941-4

Regular Article - Theoretical Physics

Spin couplings as witnesses of Planck scale phenomenology

Pasquale Bosso¹^,2, Fabrizio Illuminati¹^,2, Luciano Petruzziello¹^,2^,3^a and Fabian Wagner¹^,2^,4

¹ Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
² INFN, Sezione di Napoli, Gruppo collegato di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
³ Institut für Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, 89069, Ulm, Germany
⁴ Institut für theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany

^a lupetruzziello@unisa.it

Received: 14 January 2025
Accepted: 14 February 2025
Published online: 11 March 2025

Abstract

Modified dispersion relations (MDRs) and noncommutative geometries are phenomenological models of Planck-scale corrections to relativistic kinematics, motivated by several approaches to quantum gravity. High-energy astrophysical observations, while commonly used to test such effects, are limited by significant systematic uncertainties. In contrast, low-energy, nonrelativistic experiments provide greater control, with precision serving as an amplifier for Planck-suppressed corrections. We derive corrections to Pauli’s equation for nonrelativistic spin-1/2 particles in a magnetic field, incorporating general MDRs and noncommutative geometries. Applying our framework to $κ$ $\kappa$ -Poincaré symmetries and minimal-length quantum mechanics, we identify Planck-scale corrections accessible in the nonrelativistic regime. Using the electron’s anomalous magnetic moment, we constrain model parameters, pushing the $κ$ $\kappa$ -Poincaré scale in the bi-crossproduct representation beyond $10^{10} GeV .$ $10^{10} ~\text {GeV}.$ These results highlight the complementarity of low-energy precision tests and astrophysical observations in probing quantum gravity phenomenology.

© The Author(s) 2025

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