论文标题
从非交流性的最大加速度的出现
Emergence of maximal acceleration from non-commutativity of space-time
论文作者
论文摘要
在本文中，我们表明，$κ$成型的Minkowski时空的因果连接的$ 4 $维线元素会导致适当的加速度造成上限，并得出此最大加速度，在变形参数中有效期最高为一阶。我们发现对最大加速度的贡献，它独立于$ \ hbar $，因此仅对非交换性的效果产生了信号。我们还构建了$κ$成型的测量方程，并获得其$κ$成型的牛顿限制，在变形参数中有效期为一阶。使用此情况，我们限制了表达式中存在的非交流参数以进行最大加速度。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结合。
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.
