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| Hlavní autoři: | , , |
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| Médium: | Preprint |
| Vydáno: |
2020
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| Témata: | |
| On-line přístup: | https://arxiv.org/abs/2004.11523 |
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- 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.