List of probability distributions: Difference between revisions
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en>Michael Hardy |
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: | |||
:<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]] | |||
Revision as of 18:14, 3 January 2014
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 measures the proper time, defined by:
- .
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 accelerators.
See also
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
- "Does a clock's acceleration affect its timing rate?", from the USENET Physics FAQ