论文标题

福柯摆作为伪表上运动的一个例子

The Foucault pendulum as an example of motion on a pseudo-surface

论文作者

Delphenich, D. H.

论文摘要

福柯摆被证明是伪表面运动的一个示例,并探索了后果。特别是,获得了其第一和第二基本形式,以及其高斯和平均曲率及其大地测量方程。但是,与从空间到时空的延伸有关的物理考虑,将复杂性引入了对福柯伪surface的几何形状的讨论,与时空度量标准的可能签名有关。

The Foucault pendulum is shown to be an example of motion on a pseudo-surface, and the consequences of that are explored. In particular, its first and second fundamental forms are obtained, as well as its Gaussian and mean curvatures and the equations of its geodesics. However, a physical consideration that relates to the extension from space to space-time introduces a complication into the discussion of the geometry of the Foucault pseudo-surface that relates to the possible signatures of the space-time metric.

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