Analogue non-causal Null Curves and Chronology protection in a dc-SQUID Array
arXiv:2207.14164 · doi:10.3390/universe8090452
Abstract
We propose an analogue quantum simulator of a 1+1 D 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 analogue-gravity chronology protection mechanism by Barceló et al.
Submitted as invited contribution to the Special Issue of Universe "The Physics of Time Travel". v2: minor changes, published version
References in corpus (6)
- Fiber-optical analogue of the event horizon
- Electromagnetic wormholes and virtual magnetic monopoles
- Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
- Quantum Effects in Small-Capacitance Single Josephson Junctions
- Hunting Quantum Gravity with Analogs: the case of graphene
- Chronology Protection Implementation in Analogue Gravity