Time travel paradox

  title={Time travel paradox},
  author={Serguei Krasnikov},
  journal={Physical Review D},
We define the time travel paradox in physical terms and prove its existence by constructing an explicit example. We argue further that in theories\char22{}such as general relativity\char22{}where the spacetime geometry is subject to nothing but differential equations and initial data no paradoxes arise. 

Figures from this paper

Time travel using degenerate metrics
The possibility of time travel through the geodesics of vacuum solutions in first order gravity is explored. We present explicit examples of such geometries, which contain degenerate as well asExpand
No time machines in classical general relativity
Irrespective of local conditions imposed on the metric, any extendible spacetime U has a maximal extension containing no closed causal curves outside the chronological past of U. We prove this factExpand
Information Paradox and Grandfather Paradox in the Theories of Nonquantum Gravity and Quantum Gravity
Solutions of “informational paradox” for black holes and “grandfather paradox” for time travel “wormholes” are investigated. The chapter is dealing with the analysis of quantum gravitation theoryExpand
Transition Matrices and Time Travel
It is proved by Lee that the grandfather paradox and Deutsch's unproven paradox are precluded for two and three-state graphical models and it is proved that both paradoxes are also prepelled for a general n-state model. Expand
Constraints on Data in Worlds with Closed Timelike Curves
  • P. Dowe
  • Mathematics
  • Philosophy of Science
  • 2007
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 causationExpand
The Thermodynamics of Time Travel
The concept of time travel captures the imagination of scientists and nonscientists alike. Though theoretical mathematical treatment of the issue in the realm of physics has offered potential means,Expand
The Universal Arrow of Time is a Key for the Solution of the Basic Physical Paradoxes
The modern classical statistical physics, thermodynamics, quantum mechanics and gravity theory are developed and well-known theories. The described theories are developed and well studied for a longExpand
Testing Basic Laws of Gravitation – Are Our Postulates on Dynamics and Gravitation Supported by Experimental Evidence?
Gravity is the most fundamental interaction; it not only describes a particular interaction between matter, but also encompasses issues such as the notion of space and time, the role of the observer,Expand
Grandfather Paradox in Non-Quantum and Quantum Gravitation Theories
In this paper we resolve the grandfather paradox in non-quantum and quantum gravitation theories for time travelling in a time wormhole. For macroscopic bodies, the main solution is alignment of theExpand
Searching for an adequate relation between time and entanglement
Today, mainstream science considers that the observer and all observed physical phenomena exist in time and space as fundamental physical realities of the universe. Nonetheless, relevant recentExpand


The Door into Summer
A popular and enduring time travel tale by one of science fiction's all-time greats When Dan Davis is crossed in love and stabbed in the back by his business associates, the immediate future doesn'tExpand
  • Rev. D 46, 603
  • 1992
Phys. Rev. D
  • Phys. Rev. D
  • 2000
J. Nahin, Time Machines
  • J. Nahin, Time Machines
  • 1999
  • Rev. D 54, 7322 (1996), B. S. Kay, M. J. Radzikowski, and R. M. Wald, Commun. Math. Phys. 183, 533 (1997), S. Krasnikov, Phys. Rev. D 59, 024010
  • 1999
Time Machines
  • 1999
  • Math. Phys. 186, 495
  • 1997
Commun. Math. Phys
  • Commun. Math. Phys
  • 1997
Lorentzian wormholes
  • 1996
S. Krasnikov
  • S. Krasnikov
  • 1996