论文标题

与一般非金属的共同不变的适当时间

Conformally invariant proper time with general non-metricity

论文作者

Delhom, Adria, Lobo, Iarley P., Olmo, Gonzalo J., Romero, Carlos

论文摘要

我们表明,佩里克给出的Weyl不变空间时间的适当时间的定义自然延伸到具有任意非金属度的空间。然后,我们讨论这种通用的适当时间与ehlers-pirani-schild的定义之间的关系。然后,我们展示了这个通用的适当时间如何具有第二个时钟效果。假设Muons是测量适当时间的设备,我们会限制地球表面上的非金属张量,然后详细说明这种假设的可行性。

We show that the definition of proper time for Weyl-invariant space-times given by Perlick naturally extends to spaces with arbitrary non-metricity. We then discuss the relation between this generalized proper time and the Ehlers-Pirani-Schild definition of time when there is arbitrary non-metricity. Then we show how this generalized proper time suffers from a second clock effect. Assuming that muons are a device to measure this proper time, we constrain the non-metricity tensor on Earth's surface and then elaborate on the feasibility of such assumption.

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