List of probability distributions: Difference between revisions

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edited the geometric distribution's description since sadly it is not everywhere defined the same way - luckily wikipedia has both cases :)
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The '''clock hypothesis''' is an assumption in [[special relativity]]. It states that the rate of a clock doesn't depend on its acceleration but only on its instantaneous velocity. This is equivalent to stating, that a clock moving along a path <math>P</math> measures the [[proper time]], defined by:
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:<math>d \tau = \int_P \sqrt {dt^2 - dx^2/c^2 - dy^2/c^2 - dz^2/c^2}</math>.
The clock hypothesis was implicitly (but not explicitly) included in Einstein's original 1905 formulation of special relativity. Since then, it has become a standard assumption and is usually included in the axioms of special relativity, especially in the light of experimental verification up to very high accelerations in [[particle accelerator]]s.
 
==See also==
*[[Time dilation of moving particles]]
 
== References ==
*S.R. Mainwaring, G.E. Stedman, ''Accelerated Clock Principles in Special Relativity''. Physical Review A47 (1993) 3611–3619.
*R. Anderson, I. Vetharaniam, G.E. Stedman, ''Conventionality of Synchronization, Gauge Dependence and Test Theories of Relativity.'', Physics Reports 295 (1998) 94–180.
*A.M. Eisele, ''On the Behavior of an Accelerated Clock'', Helvetica Physica Acta 60 (1987) 1024–1037.
*P. Mittelstaedt, H. Heintzmann, ''Laws of Physics in Accelerated Reference Frames'' (German), in Springer Tracts in Modern Physics (G. Höhler, ed.) 47 (1968) 185-225.
 
== External links ==
* [http://math.ucr.edu/home/baez/physics/Relativity/SR/clock.html "Does a clock's acceleration affect its timing rate?"], from the USENET Physics FAQ
 
[[Category:Special relativity]]

Latest revision as of 23:24, 22 December 2014

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