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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2403.19389 |
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| _version_ | 1866915076464705536 |
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| author | Bosso, Pasquale Illuminati, Fabrizio Petruzziello, Luciano Wagner, Fabian |
| author_facet | Bosso, Pasquale Illuminati, Fabrizio Petruzziello, Luciano Wagner, Fabian |
| contents | 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 k-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 k-Poincaré scale in the bi-crossproduct representation beyond $10^{10}$ GeV. These results highlight the complementarity of low-energy precision tests and astrophysical observation in probing quantum gravity phenomenology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19389 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin couplings as witnesses of Planck scale phenomenology Bosso, Pasquale Illuminati, Fabrizio Petruzziello, Luciano Wagner, Fabian High Energy Physics - Theory High Energy Physics - 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 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 k-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 k-Poincaré scale in the bi-crossproduct representation beyond $10^{10}$ GeV. These results highlight the complementarity of low-energy precision tests and astrophysical observation in probing quantum gravity phenomenology. |
| title | Spin couplings as witnesses of Planck scale phenomenology |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.19389 |