Foundations of Physics 43 (11):1369-1383 (2013)

Samuel C. Fletcher
University of Minnesota
The clock hypothesis of relativity theory equates the proper time experienced by a point particle along a timelike curve with the length of that curve as determined by the metric. Is it possible to prove that particular types of clocks satisfy the clock hypothesis, thus genuinely measure proper time, at least approximately? Because most real clocks would be enormously complicated to study in this connection, focusing attention on an idealized light clock is attractive. The present paper extends and generalized partial results along these lines with a theorem showing that, for any timelike curve in any spacetime, there is a light clock that measures the curve’s length as accurately and regularly as one wishes
Keywords General relativity  Clock hypothesis  Light clock  Born rigid  World-function
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DOI 10.1007/s10701-013-9751-3
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References found in this work BETA

Philosophy of Physics: Space and Time.Tim Maudlin - 2012 - Princeton University Press.
Relativity: The General Theory.John Lighton Synge (ed.) - 1960 - New York: Interscience Publishers.
Time and the Space-Traveller.Leslie Marder - 1971 - London: Allen & Unwin.

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