Time dilation of quantum clocks in a relativistic gravitational potential
General Relativity and Quantum Cosmology
2025-05-02 v7 Quantum Physics
Abstract
We study the dynamical evolution of two quantum clocks interacting with a relativistic gravitational potential. We find a time dilation effect for the clocks in agreement with the gravitational time dilation as obtained from the Schwarzschild solution in General Relativity. We perform our investigation via the Page and Wootters quantum time formalism, exploring the dynamics of clocks assuming them in both a product state and a more general (entangled) state. The gravitational redshift, as emerging from our framework, is also proposed and discussed.
Keywords
Cite
@article{arxiv.2304.04281,
title = {Time dilation of quantum clocks in a relativistic gravitational potential},
author = {Tommaso Favalli and Augusto Smerzi},
journal= {arXiv preprint arXiv:2304.04281},
year = {2025}
}
Comments
Final version accepted for publication in Entropy