How does Casimir energy fall in $κ$-deformed space-time?
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911945199714304 |
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| author | Harikumar, E. Shajesh, K. V. Panja, Suman Kumar |
| author_facet | Harikumar, E. Shajesh, K. V. Panja, Suman Kumar |
| contents | We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $κ$-deformed space-time. We model the Casimir plates in a gravitational field by $κ$-deformed Rindler coordinates and calculate the Casimir energy using the $κ$-deformed scalar field. We show that the Casimir energy accelerates in a weak gravitational field like a mass. Thus, our calculations show that the mass-energy equivalence principle holds in $κ$-deformed space-time even though a length scale is introduced through space-time non-commutativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | How does Casimir energy fall in $κ$-deformed space-time? Harikumar, E. Shajesh, K. V. Panja, Suman Kumar High Energy Physics - Theory We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $κ$-deformed space-time. We model the Casimir plates in a gravitational field by $κ$-deformed Rindler coordinates and calculate the Casimir energy using the $κ$-deformed scalar field. We show that the Casimir energy accelerates in a weak gravitational field like a mass. Thus, our calculations show that the mass-energy equivalence principle holds in $κ$-deformed space-time even though a length scale is introduced through space-time non-commutativity. |
| title | How does Casimir energy fall in $κ$-deformed space-time? |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.10300 |