A Brief Note on the Clock-Hypothesis
- 1 Emeran AG, Küttigen, Switzerland
Abstract
The clock-hypothesis is the fundamental assumption in the theories of relativity that duration, measured by clocks, is proportionate to the length of their respective world lines. Over the years, there have been contributions both, theoretical and experimental in nature, either confirming or questioning this hypothesis. We give an elementary model of two classes of clocks, which turn out to be relativistic clocks, and by doing so also offer a basis to see the limitations of the clock-hypothesis. At the same time, we find support for a hypothesis of L. de Broglie, regarding the existence of an internal clock of electrons. Our aim is to give a precise, yet accessible account of the subject.
- Einstein, A. (1905) Annalen der Physik, 17, 891-921. http://dx.doi.org/10.1002/andp.19053221004
- Einstein, A. (1907) Jahrbuch der Radioaktivität, 411-462.
- Maudlin, T. (2012) Philosophy of Physics, Volume 1: “Space and Time”. Princeton University Press, Princeton.
- Rossi, B. and Hall, D.B. (1941) Physical Review, 59, 223-228. http://dx.doi.org/10.1103/PhysRev.59.223
- Ives, H.E. and Stilwell, G. (1938) Journal of the Optical Society of America, 28, 215. http://dx.doi.org/10.1364/JOSA.28.000215
- Pound, R.V. and Rebka, G.A. (1959) Physical Review Letters, 3, 439-441. http://dx.doi.org/10.1103/PhysRevLett.3.439
- Hafele, J. and Keating, R. (1972) Science, 177, 168-170. http://dx.doi.org/10.1126/science.177.4044.168
- Bonnizoni, I. and Giuliani, G. (2000) The Interpretations by Experimenters of Experiments on “Time Dilation”: 1940-1970 ca. arXiv:physics/0008012 [physics.hist-ph].
- Zych, M., Costa, F.M., Pikovski, I., Brukner, C. and Ralph, T.C. (2016) Journal of Physics: Conference Series, 723. http://dx.doi.org/10.1088/1742-6596/723/1/012044
- Ahmadi, M., Bruschi, D.E., Sabin, C., Adesso, G. and Fuentes, I. (2014) Scientific Reports, 4, Article ID: 4996. http://dx.doi.org/10.1038/srep04996
- Mössbauer, R. (1958) Zeitschriftfür Physik, 151, 124-143.
- Borghi, C. (2016) Foundations of Physics, 46, 1374-1379. http://dx.doi.org/10.1007/s10701-016-0030-y
- De Broglie, L. (1924) Annales de Physique, 3, 22.
- Margolus, N. and Levitin, L.B. (1998) Physica D, 120, 188-195. http://dx.doi.org/10.1016/S0167-2789(98)00054-2
- Osche, G.R. (2011) Annales de la Fondation Louis de Broglie, 36, 61-71.