Time travel paradox

Krasnikov, S.

doi:10.1103/physrevd.65.064013

Cited by 36 publications

(52 citation statements)

References 18 publications

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“…13 Other authors have argued that the paradoxes arising from closed timelike curves are real, but can be resolved by an appropriate extension of the space-time manifold 14 (see Subsection III.B).…”

Section: Causal Structure Of Space-time (N K) ¼ (3 2)mentioning

confidence: 99%

Relativistic mechanics in multiple time dimensions

Velev¹

2012

Physics Essays

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This article discusses the motion of particles in multiple time dimensions and in multiple space dimensions. Transformations are presented for the transfer from one inertial frame of reference to another inertial frame of reference for the case of multidimensional time. The implications are indicated of the existence of a large number of time dimensions on physical laws like the Lorentz covariance, CPT symmetry, the principle of invariance of the speed of light, the law of addition of velocities, the energy-momentum conservation law, etc. The Doppler effect is obtained for the case of multidimensional time. Relations are derived between energy, mass, and momentum of a particle and the number of time dimensions in which the particle is moving. The energy-momentum conservation law is formulated for the case of multidimensional time. It is proven that if certain conditions are met, then particles moving in multidimensional time are as stable as particles moving in one-dimensional time. This result differs from the view generally accepted until now [J. Dorling, Am. J. Phys. 38, 539 (1970)]. It is proven that luxons may have nonzero rest mass, but only provided that they move in multidimensional time. The causal structure of space-time is examined. It is shown that in multidimensional time, under certain circumstances, a particle can move in the causal region faster than the speed of light in vacuum. In the case of multidimensional time, the application of the proper orthochronous transformations at certain conditions leads to movement backwards in the time dimensions. It is concluded that the number of different antiparticles in the k-dimensional time is equal to 3 k À 2 k . Differences between tachyons and particles moving in multidimensional time are indicated. It is shown that particles moving faster than the speed of light in vacuum can have a real rest mass (unlike tachyons), provided that they move in multidimensional time. Ó 2012 Physics Essays Publication.R´esum´e: L'article traite du mouvement des particules dans un temps et espace multidimensionnels. Les transformations de r´ef´erentiels inertiels d'un syst`eme`a l'autre sont d´eduites dans un temps multidimensionnel. Les cons´equences de l'existence d'un plus grand nombre de dimensions temporelles sur les lois physiques sont d´emontr´ees: sur l'invariance de Lorentz, sur la sym´etrie CPT, sur le principe de l'invariance de la vitesse de la lumi`ere, sur la loi d'accumulation des vitesses, sur la loi de conservation de l'´energie-impulsion etc. L'effet Doppler est obtenu dans un temps multidimensionnel. Les corr´elations entre l'´energie, la masse, l'impulsion d'une particule donn´ee sont d´eduites, ainsi que le nombre des dimensions temporelles dans lesquelles cette particule se meut. Formul´ee`a´et´e la loi de conservation de l'´energie-impulsion en cas de temps multidimensionnel. Il est d´emontr´e que si ont´et´e satisfaites certaines conditions, les particules qui se d´eplacent dans un temps multidimensionnel sont tout aussi stables que les particules ...

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Section: Causal Structure Of Space-time (N K) ¼ (3 2)mentioning

confidence: 99%

Relativistic mechanics in multiple time dimensions

Velev¹

2012

Physics Essays

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“…Refs. [44][45][46]. Surprisingly enough, the issue has some consequence for our present topic, as noticed by Deutsch, (47) and recently elaborated in a well-written paper by Grove.…”

Section: Time Travel?mentioning

confidence: 76%

Physics versus Semantics: A Puzzling Case of the Missing Quantum Theory

Ćirković

2005

Found Phys

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A case for the project of excising of confusion and obfuscation in the contemporary quantum theory initiated and promoted by David Deutsch has been made. It has been argued that at least some theoretical entities which are conventionally labelled as "interpretations" of quantum mechanics are in fact fullblooded physical theories in their own right, and as such are falsifiable, at least in principle. The most pertinent case is the one of the so-called "ManyWorlds Interpretation" (MWI) of Everett and others. This set of idea differs from other "interpretations" since it does not accept reality of the collapse of Schrödinger's wavefunction. A survey of several important proposals for discrimination between quantum theories with and without wavefunction collapse appearing from time to time in the literature has been made, and the possibilities discussed in the framework of a wider taxonomy.

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“…But there is another kind of solution, which, following Krasnikov (2002), I will call 'lions'. Lions are loop objects, objects that exist just as a loop along a CTC, without beginning or end.…”

Section: Logic or Physics?mentioning

confidence: 99%

Constraints on Data in Worlds with Closed Timelike Curves

Dowe

2007

Philos. of Sci.

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It is claimed that unacceptable constraints on initial data are imposed by certain responses to paradoxes that threaten time travel, closed timelike curves (CTCs) and other backwards causation hypotheses. In this paper I argue against the following claims: to say "contradictions are impossible so something must prevent the paradox" commits in general to constraints on initial data, that for fixed point dynamics socalled grey state solutions explain why contradictions do not arise, and the latter have been proved to avoid constraints on initial data.

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Time travel paradox

Abstract: We define the time travel paradox in physical terms and prove its existence by constructing an explicit example. We argue further that in theories -such as general relativity -where the spacetime geometry is subject to nothing but differential equations and initial data no paradoxes arise.

Cited by 36 publications

References 18 publications

Relativistic mechanics in multiple time dimensions

Relativistic mechanics in multiple time dimensions

Physics versus Semantics: A Puzzling Case of the Missing Quantum Theory

Constraints on Data in Worlds with Closed Timelike Curves

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