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Emergence of maximal acceleration from non-commutativity of spacetime
Modern Physics Letters A ( IF 1.4 ) Pub Date : 2021-02-08 , DOI: 10.1142/s0217732321500693
E. Harikumar 1 , Leela Ganesh Chandra Lakkaraju 2 , Vishnu Rajagopal 1
Affiliation  

In this paper, we show that the causally connected four-dimensional line element of the κ-deformed Minkowski spacetime 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 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 analyze different limits of the maximal acceleration and also discuss its implication to maximal temperature. We also obtain a bound on the deformation parameter.

中文翻译:

时空非交换性最大加速度的出现

在本文中,我们证明了因果连接的四维线元κ-变形的 Minkowski 时空在适当的加速度上产生一个上限截止,并得出这个最大加速度,在变形参数中直到一阶有效。我们发现对最大加速度的贡献独立于因此仅表明非交换性的影响。我们还构建κ-变形测地线方程并获得其κ-变形牛顿极限,在变形参数中有效到一阶。使用它,我们约束表达式中存在的非交换参数以获得最大加速度。我们分析了最大加速度的不同限制,并讨论了它对最大温度的影响。我们还获得了变形参数的界限。
更新日期:2021-02-08
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