In (Zych etal 2011 Nat. Commun. 2 505), the authors predicted that the interferometric visibility is affected by a gravitational field in way that cannot be explained without the general relativistic notion of proper time. In this work, we take a different route and start deriving the same effect using the unitary representation of the local Lorentz transformation in the Newtonian limit. In addition, we show that the effect on the interferometric visibility due to gravity persists in different spacetime geometries. However, the influence is not necessarily due to the notion of proper time. For instance, by constructing a ‘astronomical’ Mach–Zehnder interferometer in the Schwarzschild spacetime, the influence on the interferometric visibility can be due to another general relativistic effect, the geodetic precession. Besides, by using the unitary representation of the local Lorentz transformation, we show that this behavior of the interferometric visibility is general for an arbitrary spacetime, provided that we restrict the motion of the quanton to a two-dimensional spacial plane.

在（Zych等人2011 Nat. Commun. 2505），作者预测干涉能见度受引力场的影响，如果没有适当时间的一般相对论概念就无法解释。在这项工作中，我们采取了不同的路线，并开始使用牛顿极限中局部洛伦兹变换的幺正表示来推导相同的效果。此外，我们表明重力对干涉能见度的影响在不同的时空几何结构中持续存在。然而，影响不一定是由于适当时间的概念。例如，通过在 Schwarzschild 时空构建“天文”马赫-曾德干涉仪，对干涉能见度的影响可能是由于另一种一般相对论效应，即大地进动。除了，