Quantum batteries and time dilation

Fuente: arXiv
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Main Author: Martínez-Vargas, Esteban
Format: Preprint
Published: 2026
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author Martínez-Vargas, Esteban
author_facet Martínez-Vargas, Esteban
contents Is spacetime fundamental or can it be derived through quantum interactions? We propose here a way to describe time dilation solely from quantum mechanics. First we start by observing that any operational notion of time must imply some sort of regular motion and, crucially, some sort of memory. Thus the clock model we use here is a simple example of a quantum memory: a charging battery. We describe here the charging of such batteries with quantum open dynamics. The expected value of these batteries grow linearly in time like $φt$. The open dynamics is dependent on an auxiliar state $σ$. Therefore, with a different auxiliar state we have a different $φ$. We can describe time dilation and thus a metric this way. We exemplify with a black hole metric.
format Preprint
id arxiv_https___arxiv_org_abs_2603_11079
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum batteries and time dilation
Martínez-Vargas, Esteban
Quantum Physics
Is spacetime fundamental or can it be derived through quantum interactions? We propose here a way to describe time dilation solely from quantum mechanics. First we start by observing that any operational notion of time must imply some sort of regular motion and, crucially, some sort of memory. Thus the clock model we use here is a simple example of a quantum memory: a charging battery. We describe here the charging of such batteries with quantum open dynamics. The expected value of these batteries grow linearly in time like $φt$. The open dynamics is dependent on an auxiliar state $σ$. Therefore, with a different auxiliar state we have a different $φ$. We can describe time dilation and thus a metric this way. We exemplify with a black hole metric.
title Quantum batteries and time dilation
topic Quantum Physics
url https://arxiv.org/abs/2603.11079