Spin couplings as witnesses of Planck scale phenomenology

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...

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Main Authors: Bosso, Pasquale (Author) , Illuminati, Fabrizio (Author) , Petruzziello, Luciano (Author) , Wagner, Fabian (Author)
Format: Article (Journal)
Language:English
Published: 11 March 2025
In: The European physical journal. C, Particles and fields
Year: 2025, Volume: 85, Issue: 3, Pages: 1-15
ISSN:1434-6052
DOI:10.1140/epjc/s10052-025-13941-4
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1140/epjc/s10052-025-13941-4
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Author Notes:Pasquale Bosso, Fabrizio Illuminati, Luciano Petruzziello, Fabian Wagner

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520 |a 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 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 kappa-Poincaré scale in the bi-crossproduct representation beyond 10 10 GeV. These results highlight the complementarity of low-energy precision tests and astrophysical observations in probing quantum gravity phenomenology. 
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