The equivalence principle is NOT a Noether symmetry
Abstract The connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024). However, it is known that the Noether symmetry condition is independent of the equations of motions as follows from Hamilton’s prin...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13469-z |
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| author | Andronikos Paliathanasis |
| author_facet | Andronikos Paliathanasis |
| author_sort | Andronikos Paliathanasis |
| collection | DOAJ |
| description | Abstract The connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024). However, it is known that the Noether symmetry condition is independent of the equations of motions as follows from Hamilton’s principle. In this paper, we critically examine the analysis presented in the aforementioned work, highlighting its flaws, and provide a detailed demonstration that there is no connection between Noether’s theorem and the equivalence principle. Furthermore, we offer various insights on symmetry analysis to prevent the perpetuation of inaccuracies regarding Noether’s work. |
| format | Article |
| id | doaj-art-327781b6630f4df8ae87e3d8859d5c4a |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-327781b6630f4df8ae87e3d8859d5c4a2024-12-08T12:42:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-0184101410.1140/epjc/s10052-024-13469-zThe equivalence principle is NOT a Noether symmetryAndronikos Paliathanasis0Institute of Systems Science, Durban University of TechnologyAbstract The connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024). However, it is known that the Noether symmetry condition is independent of the equations of motions as follows from Hamilton’s principle. In this paper, we critically examine the analysis presented in the aforementioned work, highlighting its flaws, and provide a detailed demonstration that there is no connection between Noether’s theorem and the equivalence principle. Furthermore, we offer various insights on symmetry analysis to prevent the perpetuation of inaccuracies regarding Noether’s work.https://doi.org/10.1140/epjc/s10052-024-13469-z |
| spellingShingle | Andronikos Paliathanasis The equivalence principle is NOT a Noether symmetry European Physical Journal C: Particles and Fields |
| title | The equivalence principle is NOT a Noether symmetry |
| title_full | The equivalence principle is NOT a Noether symmetry |
| title_fullStr | The equivalence principle is NOT a Noether symmetry |
| title_full_unstemmed | The equivalence principle is NOT a Noether symmetry |
| title_short | The equivalence principle is NOT a Noether symmetry |
| title_sort | equivalence principle is not a noether symmetry |
| url | https://doi.org/10.1140/epjc/s10052-024-13469-z |
| work_keys_str_mv | AT andronikospaliathanasis theequivalenceprincipleisnotanoethersymmetry AT andronikospaliathanasis equivalenceprincipleisnotanoethersymmetry |