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Because no closed timelike curve (CTC) on a Lorentzian manifold can be deformed to a point, any such manifold containing a CTC must have a topological feature, to be called a timelike wormhole, that prevents the CTC from being deformed to a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hunter Monroe

Recently, the quantum information processing power of closed timelike curves have been discussed. Because the most widely accepted model for quantum closed timelike curve interactions contains ambiguities, different authors have been able…

量子物理 · 物理学 2015-05-18 T. C. Ralph , C. R. Myers

We present a modification to a 'rotating' version of the dynamical Alcubierre spacetime, which was previously shown to permit closed timelike curves. We find that if the effective rotation rate is made dependent on the spacetime coordinates…

广义相对论与量子宇宙学 · 物理学 2025-03-26 Achintya Sajeendran , Timothy C. Ralph

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

Any given prescription of quantum time travel necessarily endows a Hilbert space to the chronology-violating (CV) system on the closed timelike curve (CTC). However, under the two foremost models, Deutsch's prescription (D-CTCs) and…

量子物理 · 物理学 2025-02-10 Lachlan G. Bishop , Fabio Costa , Timothy C. Ralph

We consider two approaches to evading paradoxes in quantum mechanics with closed timelike curves (CTCs). In a model similar to Politzer's, assuming pure states and using path integrals, we show that the problems of paradoxes and of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Allen Everett

The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable…

量子物理 · 物理学 2012-03-06 George Svetlichny

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

Generalized quantum mechanics is used to examine a simple two-particle scattering experiment in which there is a bounded region of closed timelike curves (CTCs) in the experiment's future. The transitional probability is shown to depend on…

高能物理 - 理论 · 物理学 2009-10-30 Seth Rosenberg

We use techniques of quantum information theory to analyze the quantum causal histories approach to quantum gravity. We show that while it is consistent to introduce closed timelike curves (CTCs), they cannot generically carry independent…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Etera R. Livine , Daniel R. Terno

I give a historical survey of the discussions about the existence of closed timelike curves in general relativistic models of the universe, opening the physical possibility of time travel in the past, as first recognized by K. G\"odel in…

广义相对论与量子宇宙学 · 物理学 2021-01-22 Jean-Pierre Luminet

We study the capacity of a quantum channel for retrocausal communication, where messages are transmitted backward in time, from a sender in the future to a receiver in the past, through a noisy postselected closed timelike curve (P-CTC)…

量子物理 · 物理学 2026-04-17 Kaiyuan Ji , Seth Lloyd , Mark M. Wilde

Closed timelike curves are among the most controversial features of modern physics. As legitimate solutions to Einstein's field equations, they allow for time travel, which instinctively seems paradoxical. However, in the quantum regime…

There has been considerable recent interest in the consequences of closed timelike curves (CTCs) for the dynamics of quantum mechanical systems. A vast majority of research into this area makes use of the dynamical equations developed by…

量子物理 · 物理学 2015-03-17 Joel J. Wallman , Stephen D. Bartlett

A recent paper from Brun et al. has argued that access to a closed timelike curve (CTC) would allow for the possibility of perfectly distinguishing nonorthogonal quantum states. This result can be used to develop a protocol for…

量子物理 · 物理学 2016-01-19 Lucas Dunlap

We consider the region of closed timelike curves (CTC's) in three-dimensional flat Lorentz spacetimes. The interest in this global geometrical feature goes beyond the purely mathematical. Such spacetimes may be considered lower-dimensional…

微分几何 · 数学 2009-11-07 Virginie Charette , Todd A. Drumm , Dieter Brill

Closed timelike curves (CTCs) appear in many solutions of the Einstein equation, even with reasonable matter sources. These solutions appear to violate causality and so are considered problematic. Since CTCs reflect the global properties of…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Sergei Slobodov

A ring resonator involves a scattering process where a part of the output is fed again into the input. The same formal structure is encountered in the problem of time travel in a neighborhood of a closed timelike curve (CTC). We know how to…

量子物理 · 物理学 2022-07-19 Marek Czachor

Because closed timelike curves are consistent with general relativity, many have asserted that time travel into the past is physically possible if not technologically infeasible. However, the possibility of time travel into the past rests…

物理学史与哲学 · 物理学 2022-10-12 Andrew Knight

Recently, there has been much interest in the evolution of quantum particles on closed time-like curves (CTCs). However, such models typically assume point-like particles with only two degrees of freedom - a very questionable assumption…

广义相对论与量子宇宙学 · 物理学 2012-09-18 J. L. Pienaar , C. R. Myers , T. C. Ralph