Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array

We propose an analogue quantum simulator of a 1 + 1D spacetime containing non-causal curves, in particular null geodesics going back in time, by means of a dc-SQUID array embedded on an open superconducting transmission line. This is achieved by mimicking the spatial dependence of the metric with th...

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Main Author: Carlos Sabín
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/9/452
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author Carlos Sabín
author_facet Carlos Sabín
author_sort Carlos Sabín
collection DOAJ
description We propose an analogue quantum simulator of a 1 + 1D spacetime containing non-causal curves, in particular null geodesics going back in time, by means of a dc-SQUID array embedded on an open superconducting transmission line. This is achieved by mimicking the spatial dependence of the metric with the propagation speed of the electromagnetic field in the simulator, which can be modulated by an external magnetic flux. We show that it is possible to simulate a spacetime region containing non-causal null geodesics, but not a full spacetime containing a chronological horizon separating regions with non-causal null geodesics and regions without them. This is in agreement with a recent suggestion of an analogue-gravity chronology protection mechanism by Barceló et al.
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spelling doaj.art-a539def7b7d9459daccfb4c46527bc3b2023-11-23T19:18:45ZengMDPI AGUniverse2218-19972022-08-018945210.3390/universe8090452Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID ArrayCarlos Sabín0Departamento de Física Teórica, Universidad Autónoma de Madrid, 28049 Madrid, SpainWe propose an analogue quantum simulator of a 1 + 1D spacetime containing non-causal curves, in particular null geodesics going back in time, by means of a dc-SQUID array embedded on an open superconducting transmission line. This is achieved by mimicking the spatial dependence of the metric with the propagation speed of the electromagnetic field in the simulator, which can be modulated by an external magnetic flux. We show that it is possible to simulate a spacetime region containing non-causal null geodesics, but not a full spacetime containing a chronological horizon separating regions with non-causal null geodesics and regions without them. This is in agreement with a recent suggestion of an analogue-gravity chronology protection mechanism by Barceló et al.https://www.mdpi.com/2218-1997/8/9/452quantum simulationsuperconducting circuitsquantum field theory in curved spacetime
spellingShingle Carlos Sabín
Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array
Universe
quantum simulation
superconducting circuits
quantum field theory in curved spacetime
title Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array
title_full Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array
title_fullStr Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array
title_full_unstemmed Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array
title_short Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array
title_sort analogue non causal null curves and chronology protection in a dc squid array
topic quantum simulation
superconducting circuits
quantum field theory in curved spacetime
url https://www.mdpi.com/2218-1997/8/9/452
work_keys_str_mv AT carlossabin analoguenoncausalnullcurvesandchronologyprotectioninadcsquidarray