Thermal Casimir effect in $κ$-Minkowski space-time
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917270565945344 |
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| author | Panja, Suman Kumar Rajagopal, Vishnu |
| author_facet | Panja, Suman Kumar Rajagopal, Vishnu |
| contents | We study the finite temperature Casimir effect for parallel plates in the $κ$-Minkowski space-time. Using the Matsubara formalism and imposing the Dirichlet boundary conditions on a massless $κ$-scalar field, we compute the $κ$-deformed corrections to thermal Casimir free energy, pressure, entropy, and internal energy. Our results demonstrate that space-time non-commutativity enhances the attractive nature of the thermal Casimir force while preserving thermodynamic consistency; the system satisfies the Nernst theorem and laws of thermodynamics remain intact in $κ$-deformed space-time. Our analysis yields an upper bound on the deformation parameter as $a\leq10^{-18}m$. Furthermore, our results indicate that non-commutative effects become experimentally observable in Casimir effect studies when the ratio of the non-commutative scale to plate separation satisfies $a/L\leq 10^{-12}$. We also obtain the expression for Stefan-Boltzmann's law in $κ$-Minkowski space-time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal Casimir effect in $κ$-Minkowski space-time Panja, Suman Kumar Rajagopal, Vishnu High Energy Physics - Theory We study the finite temperature Casimir effect for parallel plates in the $κ$-Minkowski space-time. Using the Matsubara formalism and imposing the Dirichlet boundary conditions on a massless $κ$-scalar field, we compute the $κ$-deformed corrections to thermal Casimir free energy, pressure, entropy, and internal energy. Our results demonstrate that space-time non-commutativity enhances the attractive nature of the thermal Casimir force while preserving thermodynamic consistency; the system satisfies the Nernst theorem and laws of thermodynamics remain intact in $κ$-deformed space-time. Our analysis yields an upper bound on the deformation parameter as $a\leq10^{-18}m$. Furthermore, our results indicate that non-commutative effects become experimentally observable in Casimir effect studies when the ratio of the non-commutative scale to plate separation satisfies $a/L\leq 10^{-12}$. We also obtain the expression for Stefan-Boltzmann's law in $κ$-Minkowski space-time. |
| title | Thermal Casimir effect in $κ$-Minkowski space-time |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.10463 |