Unruh-DeWitt Detector Response in Toroidal Spacetime

Fuente: arXiv
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Main Authors: Kajuri, Nirmalya, Siddh, Sheeshram
Format: Preprint
Published: 2026
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author Kajuri, Nirmalya
Siddh, Sheeshram
author_facet Kajuri, Nirmalya
Siddh, Sheeshram
contents The global topology of spacetime, though invisible to local curvature measurements, leaves signatures on the correlation functions of quantum fields. We study these signatures using an Unruh-DeWitt particle detector operating in four-dimensional Minkowski spacetime with two spatial directions periodically identified, yielding a spatial topology $\mathbb{R}\times T^2$. We compute detector transition rates for three trajectories: uniform inertial motion, uniform proper acceleration directed along one of the compact axes, and uniform proper acceleration along the non-compact axis. Our results show how a local quantum measurement can reveal features of the large-scale spatial topology.
format Preprint
id arxiv_https___arxiv_org_abs_2604_21118
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unruh-DeWitt Detector Response in Toroidal Spacetime
Kajuri, Nirmalya
Siddh, Sheeshram
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The global topology of spacetime, though invisible to local curvature measurements, leaves signatures on the correlation functions of quantum fields. We study these signatures using an Unruh-DeWitt particle detector operating in four-dimensional Minkowski spacetime with two spatial directions periodically identified, yielding a spatial topology $\mathbb{R}\times T^2$. We compute detector transition rates for three trajectories: uniform inertial motion, uniform proper acceleration directed along one of the compact axes, and uniform proper acceleration along the non-compact axis. Our results show how a local quantum measurement can reveal features of the large-scale spatial topology.
title Unruh-DeWitt Detector Response in Toroidal Spacetime
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2604.21118