An Upper Bound for the Mass of Microscopic Clocks

Fuente: arXiv
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Autori principali: Costa, Bruno Arderucio, Sanchez, Yafet E. Sanchez
Natura: Preprint
Pubblicazione: 2026
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author Costa, Bruno Arderucio
Sanchez, Yafet E. Sanchez
author_facet Costa, Bruno Arderucio
Sanchez, Yafet E. Sanchez
contents According to general relativity, clocks are the basic measuring devices needed to probe spacetime geometry. However, it is generally accepted that the mass of clocks capable of measuring small time intervals must be bounded from below. In this article, we consider two gravitationally induced phenomena: first, the extent to which such a mass disturbs the geometry that the clocks intended to probe; second, the magnitude of the gravitational self-interaction. We adopt the semiclassical coupling between gravity and quantum matter in the non-relativistic regime to obtain upper bounds on the mass of the clocks for a given time resolution and running time.
format Preprint
id arxiv_https___arxiv_org_abs_2602_24177
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle An Upper Bound for the Mass of Microscopic Clocks
Costa, Bruno Arderucio
Sanchez, Yafet E. Sanchez
General Relativity and Quantum Cosmology
According to general relativity, clocks are the basic measuring devices needed to probe spacetime geometry. However, it is generally accepted that the mass of clocks capable of measuring small time intervals must be bounded from below. In this article, we consider two gravitationally induced phenomena: first, the extent to which such a mass disturbs the geometry that the clocks intended to probe; second, the magnitude of the gravitational self-interaction. We adopt the semiclassical coupling between gravity and quantum matter in the non-relativistic regime to obtain upper bounds on the mass of the clocks for a given time resolution and running time.
title An Upper Bound for the Mass of Microscopic Clocks
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2602.24177