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We construct a class of closed timelike curves (CTCs) using a compactified extra dimension $u$. A nonzero metric element $g_{tu}(u)$ enables particles to travel backwards in global time $t$. The compactified dimension guarantees that the…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Chiu Man Ho , Thomas J. Weiler

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 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…

Closed time-like curves naturally appear in a variety of chronology-violating space-times. In these space-times, the Principle of Self-Consistency demands an harmony between local and global affairs that excludes grandfather-like paradoxes.…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Gustavo E. Romero , Diego F. Torres

Many solutions of Einstein's field equations contain closed timelike curves (CTC). Some of these solutions refer to ordinary materials in situations which might occur in the laboratory, or in astrophysics. It is argued that, in default of a…

广义相对论与量子宇宙学 · 物理学 2009-11-07 W. B. Bonnor

We consider the motion of a gyroscope on a closed timelike curve (CTC). A gyroscope is identified with a unit-length spacelike vector - a spin-vector - orthogonal to the tangent to the CTC, and satisfying the equations of Fermi-Walker…

广义相对论与量子宇宙学 · 物理学 2026-01-23 Brien C. Nolan

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

We present a cyclic symmetric space-time, admitting closed time-like curves (CTCs) which appear after a certain instant of time, i. e., a time-machine space-time. These closed time-like curves evolve from an initial spacelike hypersurface…

广义相对论与量子宇宙学 · 物理学 2021-05-19 Faizuddin Ahmed

While it is tempting to think of closed timelike curves (CTCs) around rotating bodies such as a black hole as being "caused" by the rotation of the source, Andr\'eka et al. pointed out that the underlying physics is not as straightforward…

广义相对论与量子宇宙学 · 物理学 2022-02-01 Yuanyuan Duan , Fangxun Liu , Yu Wang , Yen Chin Ong

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

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

We analyze how the presence of closed timelike curves (CTCs) characterizing a time machine can be discerned by placing a local particle detector in a region of spacetime which is causally disconnected from the CTCs. Our study shows that not…

量子物理 · 物理学 2024-07-19 Ana Alonso-Serrano , Erickson Tjoa , Luis J. Garay , Eduardo Martín-Martínez

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

Toy models for quantum evolution in the presence of closed timelike curves (CTCs) have gained attention in the recent literature due to the strange effects they predict. The circuits that give rise to these effects appear quite abstract and…

量子物理 · 物理学 2013-05-30 J. L. Pienaar , C. R. Myers , T. C. Ralph

We introduce a general categorical framework to reason about quantum theory and other process theories living in spacetimes where Closed Timelike Curves (CTCs) are available, allowing resources to travel back in time and provide…

量子物理 · 物理学 2019-02-04 Nicola Pinzani , Stefano Gogioso , Bob Coecke

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…

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

In this comment on S.Lloyd, et al, Phys.Rev.Lett. 106, 040403 (2011), we show that modelling closed timelike curves (CTCs) as post-selected teleportation allows signalling to past times before the creation of the CTC and allows information…

量子物理 · 物理学 2011-07-26 T. C. Ralph

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

The existence of time machines, understood as spacetime constructions exhibiting physically realised closed timelike curves (CTCs), would raise fundamental problems with causality and challenge our current understanding of classical and…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. M. Shore
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