# Quantum complementarity of clocks in the context of general relativity

## TL;DR

This paper explores the interplay between quantum clocks and general relativity by deriving and testing a complementarity relation influenced by gravitational time lag, advancing understanding of quantum effects in curved spacetime.

## Contribution

It introduces a new complementarity relation for quantum clocks affected by gravity, supported by theoretical derivation and experimental validation.

## Key findings

- Derived a complementarity relation for quantum clocks in gravitational fields.
- Experimentally tested the relation using clock-interferometry.
- Discussed implications for various quantum clock types.

## Abstract

Clocks play a special role at the interface of general relativity and quantum mechanics. We analyze a clock-interferometry thought experiment and go on to theoretically derive and experimentally test a complementarity relation for quantum clocks in the context of the gravitational time lag. We study this relation in detail and discuss its application to various types of quantum clocks.