Emergence of maximal acceleration from non-commutativity of space-time
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866915779240263680 |
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| author | Harikumar, E. Lakkaraju, Leela Ganesh Chandra Rajagopal, Vishnu |
| author_facet | Harikumar, E. Lakkaraju, Leela Ganesh Chandra Rajagopal, Vishnu |
| contents | In this paper, we show that the causally connected $4$-dimensional line element of the $κ$-deformed Minkowski space-time induces an upper cut-off on the proper acceleration and derive this maximal acceleration, valid up to first order in the deformation parameter. We find a contribution to maximal acceleration which is independent of $\hbar$ and thus signals effect of the non-commutativity alone. We also construct the $κ$-deformed geodesic equation and obtain its $κ$-deformed Newtonian limit, valid up to first order in deformation parameter. Using this, we constrain non-commutative parameters present in the expression for maximal acceleration. We analyse different limits of the maximal acceleration and also discuss its implication to maximal temperature. We also obtain a bound on the deformation parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_11523 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Emergence of maximal acceleration from non-commutativity of space-time Harikumar, E. Lakkaraju, Leela Ganesh Chandra Rajagopal, Vishnu High Energy Physics - Theory In this paper, we show that the causally connected $4$-dimensional line element of the $κ$-deformed Minkowski space-time induces an upper cut-off on the proper acceleration and derive this maximal acceleration, valid up to first order in the deformation parameter. We find a contribution to maximal acceleration which is independent of $\hbar$ and thus signals effect of the non-commutativity alone. We also construct the $κ$-deformed geodesic equation and obtain its $κ$-deformed Newtonian limit, valid up to first order in deformation parameter. Using this, we constrain non-commutative parameters present in the expression for maximal acceleration. We analyse different limits of the maximal acceleration and also discuss its implication to maximal temperature. We also obtain a bound on the deformation parameter. |
| title | Emergence of maximal acceleration from non-commutativity of space-time |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2004.11523 |