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Closed timelike curves (CTCs) are trajectories in spacetime that effectively travel backwards in time: a test particle following a CTC can in principle interact with its former self in the past. CTCs appear in many solutions of Einstein's…

In arXiv:1107.4675 Ralph uses our post-selection model of closed timelike curves (P-CTC) to construct an "unproven-theorem" paradox, and claims that this voids our argument that P-CTCs are able to resolve such types of paradoxes. Here we…

This paper discusses the quantum mechanics of closed timelike curves (CTC) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected…

The conceptual definition and understanding of time, both quantitatively and qualitatively is of the utmost difficulty and importance. As time is incorporated into the proper structure of the fabric of spacetime, it is interesting to note…

广义相对论与量子宇宙学 · 物理学 2013-10-21 Francisco S. N. Lobo

Closed Timelike Curves (CTCs) are intriguing relativistic objects that allow for time travel to the past and can be used as computational resources. In Deutschian Closed Timelike Curves (D-CTCs), due to the monogamy of entanglement,…

量子物理 · 物理学 2018-10-11 Soumik Ghosh , Arnab Adhikary , Goutam Paul

The fact that closed timelike curves (CTCs) are permitted by general relativity raises the question as to how quantum systems behave when time travel to the past occurs. Research into answering this question by utilising the quantum circuit…

量子物理 · 物理学 2014-10-13 John-Mark A. Allen

The theory of general relativity predicts the existence of closed time-like curves (CTCs), which theoretically would allow an observer to travel back in time and interact with their past self. This raises the question of whether this could…

量子物理 · 物理学 2026-05-26 Germain Tobar , Fabio Costa

Proposed models of closed timelike curves (CTCs) have been shown to enable powerful information-processing protocols. We examine the simulation of models of CTCs both by other models of CTCs and by physical systems without access to CTCs.…

量子物理 · 物理学 2017-02-28 Todd A. Brun , Mark M. Wilde

General relativity predicts the existence of closed timelike curves (CTCs), along which an object could travel to its own past. A consequence of CTCs is the failure of determinism, even for classical systems: one initial condition can…

量子物理 · 物理学 2021-05-20 Lachlan G. Bishop , Fabio Costa , Timothy C. Ralph

In this paper, we investigate the possibility of using closed timelike curves (CTCs) in relativistic hypercomputation. We introduce a wormhole based hypercomputation scenario which is free from the common worries, such as the blueshift…

广义相对论与量子宇宙学 · 物理学 2012-11-27 Hajnal Andréka , István Németi , Gergely Székely

The spacetime metric around a rotating SuperConductive Ring (SCR) is deduced from the gravitomagnetic London moment in rotating superconductors. It is shown that theoretically it is possible to generate Closed Timelike Curves (CTC) with…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Clovis Jacinto de Matos

Many results have been recently obtained regarding the power of hypothetical closed time-like curves (CTCs) in quantum computation. Here we show that the one-way model of measurement-based quantum computation encompasses in a natural way…

量子物理 · 物理学 2011-01-27 Raphael Dias da Silva , Ernesto F. Galvao , Elham Kashefi

While closed timelike curves (CTCs) are not known to exist, studying their consequences has led to nontrivial insights in general relativity, quantum information, and other areas. In this paper we show that if CTCs existed, then quantum…

量子物理 · 物理学 2009-11-13 Scott Aaronson , John Watrous

Notoriously, the Einstein equations of general relativity have solutions in which closed timelike curves (CTCs) occur. On these curves time loops back onto itself, which has exotic consequences. However, in order to make time travel stories…

广义相对论与量子宇宙学 · 物理学 2021-05-26 Ruward A. Mulder , Dennis Dieks

We examine some variants of computation with closed timelike curves (CTCs), where various restrictions are imposed on the memory of the computer, and the information carrying capacity and range of the CTC. We give full characterizations of…

计算复杂性 · 计算机科学 2014-01-29 A. C. Cem Say , Abuzer Yakaryilmaz

We construct a metrology experiment in which the metrologist can sometimes amend her input state by simulating a closed timelike curve, a worldline that travels backward in time. The existence of closed timelike curves is hypothetical.…

量子物理 · 物理学 2023-11-07 David R. M. Arvidsson-Shukur , Aidan G. McConnell , Nicole Yunger Halpern

In principe, General Relativity seems to allow the existence of closed timelike curves (CTC). However, when quantum effects are considered, it is likely that their existence is prevented by some kind of chronological protection mechanism,…

量子物理 · 物理学 2020-01-29 Gonzalo Martín-Vázquez , Carlos Sabín

We study the paradoxical aspects of closed time-like curves and their impact on the theory of computation. After introducing the $\text{TM}_\text{CTC}$, a classical Turing machine benefiting CTCs for backward time travel, Aaronson et al.…

计算复杂性 · 计算机科学 2023-01-30 Sara Babaee Khanehsar , Farzad Didehvar

We study the question of what is computable by Turing machines equipped with time travel into the past; i.e., with Deutschian closed timelike curves (CTCs) having no bound on their width or length. An alternative viewpoint is that we study…

We investigate the relationship between computation and spacetime structure, focussing on the role of closed timelike curves (CTCs) in promoting computational speedup. We note first that CTC traversal can be interpreted in two distinct…

广义相对论与量子宇宙学 · 物理学 2011-03-08 Mike Stannett
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