We analyze the relativistic quantum effects induced by the topology associated with a time-dislocation space–time and produced by the angular velocity associated with a rotating reference frame, on a scalar field. The parameters related to the torsion of the dislocation and to the angular velocity of the rotating reference frame impose lower and upper limits of the radial coordinate. At these limiting values of the radial coordinate, boundary conditions are assumed, in order to determine the energy levels. We show that in this scenario, two interesting physical phenomena arise, namely, the Sagnac-like and the Aharonov–Bohm-like effects.

中文翻译：

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时间错位时空均匀旋转坐标系中的标量场

我们分析了由与时间位错时空相关的拓扑引起的相对论量子效应，并由与旋转参考系相关的角速度在标量场上产生。与位错扭转和旋转参考系角速度有关的参数强加了径向坐标的下限和上限。在径向坐标的这些极限值处，假设边界条件，以确定能级。我们表明，在这种情况下，会出现两种有趣的物理现象，即 Sagnac-like 和 Aharonov-Bohm-like 效应。