Abstract
This chapter explains the key conceptual features of the regime where time dilation affects internal dynamical of quantum clocks. The first section reviews the notion of quantum complementarity between the which-way information available in a two-way interferometer and the visibility (contrast) of the interference pattern. Next, a thought experiment is introduced with an interfering quantum clock under time dilation. Operational understanding of the proper time and of the quantum complementarity is then used to make a qualitative prediction of new physical effects that can arise in such experiments.
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