# The Clock Paradox in a Static Homogeneous Gravitational Field1

@article{Jones2006TheCP,
title={The Clock Paradox in a Static Homogeneous Gravitational Field1},
author={Preston Jones and Lucas Freor Wanex},
journal={Foundations of Physics Letters},
year={2006},
volume={19},
pages={75-85}
}
• Published 13 February 2006
• Physics
• Foundations of Physics Letters
The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of…
11 Citations

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## References

SHOWING 1-10 OF 14 REFERENCES
An Analytical Treatment of the Clock Paradox in the Framework of the Special and General Theories of Relativity
No HeadingIn this paper we treat the so called clock paradox in an analytical way by assuming that a constant and uniform force F of finite magnitude acts continuously on the moving clock along the
Accelerating Frames of Reference and the Clock Paradox
The Lorentz-Einstein transformations are obtained by a method which enables one to derive a coordinate transformation between an inertial frame of reference and a noninertial accelerating system.
Nonequivalence of a uniformly accelerating reference frame and a frame at rest in a uniform gravitational field
A general expression is obtained for the space‐time interval between neighboring events in a one‐dimensional space in which it is possible to set up a rigid reference frame. Particular expressions
General coordinatisations of the flat space-time of constant proper-acceleration
We examine space-times which are described by a metric of the form ds2 = V2(X)dT2 - U2 (X)dX2 - dY2 - dZ2 in which V =V (X) and U = U(X) are continuous functions of X only and which admit
The Theory of Relativity
THE earlier portion of Dr. Carmichael's book is a reprint of the first edition, which received notice in NATURE for March 12, 1914. The later pages, which are grouped together under one large chapter
Kruskal Space and the Uniformly Accelerated Frame
The striking formal similarities between the diagram of Kruskal space in general relativity and that of the uniformly accelerated rigid rod in special relativity are shown to be the result of certain
Über den Einfluß der Schwerkraft auf die Ausbreitung des Lichtes
Die Frage, ob die Ausbreitung des Lichtes durch die Schwere beeinflust wird, habe ich schon an einer vor vier Jahren erschienenen Abhandlung zu beantworten gesucht.2) Ich komme auf dies Thema wieder
The collected papers of Albert Einstein.
• D. Siegel
• Philosophy, Medicine
Isis; an international review devoted to the history of science and its cultural influences
• 2007
Nonequivalence of a uniform accelerating frame and a frame at rest in a uniform gravitational field,
• American Journal of Physics
• 1989