Abstract
There are in space charged particles, ions and photons of X and γ rays, with energies that may sometimes reach very large values.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The reader may have noticed that we referred to the (one) clock of Ο′ when this is observed by Ο, but to the (many) clocks in his own frame of reference. The same holds in the symmetrical case when Ο′ is making the observations. The reason is a simple one: for each of the observers, all the clocks of his own frame of reference remain synchronized, while the clocks at various points of the frame that is moving relative to him appear to him not to be synchronized, even when they are synchronized in their own frame of reference (Example 3.7).
References
B. Rossi, D.B. Hall, Variation of the rate of decay of mesotrons with momentum. Phys. Rev. 59, 223 (1941). B. Rossi, K. Greisen, J.C. Stearns, D.K. Froman, P.G. Koontz, Further measurements of the mesotron lifetime. Phys. Rev. 61, 675 (1942)
D.H. Frisch, J.H. Smith, Measurement of the relativistic time dilation using μ-mesons. Am. J. Phy. 31(5), 342–355 (1963)
T. Coan, T. Liu, J. Ye, A compact apparatus for muon lifetime measurement and time dilation demonstration in the undergraduate laboratory. Am. J. Phys. 74, 161–164 (2006)
J. Bailey, K. Borer, F. Combley, H. Drumm, F. Krienen, F. Lange, E. Picasso, W. von Ruden, F.J.M. Farley, J.H. Field, W. Flegel, P.M. Hattersley, Measurements of relativistic time dilatation for positive and negative muons in a circular orbit. Nature 268, 301–5 (1977). J. Bailey, K. Borer, F. Combley, H. Drumm, C. Eck, F.J.M. Farley, J.H. Field, W. Flegel, P.M. Hattersley, F. Krienen, F. Lange, G. Lebée, E. McMillan, G. Petrucci, E. Picasso, O. Rúnolfsson, W. von Rüden, R.W. Williams, S. Wojcicki, Final report on the CERN muon storage ring including the anomalous magnetic moment and the electric dipole moment of the muon, and a direct test of relativistic time dilation. Nuclear Physics B 150, 1–75 (1979)
G. Sagnac, L’éther lumineux démontré par l’effet du vent relatif d’éther dans un interféromètre en rotation uniforme. C. R. Acad. Sci. (Paris), 157, 708–10 (1913). Sur la preuve de la réalité de l’éther lumineux par l’expérience de l’interférographe tournant. C. R. Acad. Sci. (Paris), 157, 1410–13 (1913). Effet tourbillonnaire optique. La circulation de l’éther lumineux dans un interférographe tournant. J. Phys. Radium Ser.5, 4, 177–195 (1914)
J.C. Hafele, R.E. Keating, Science 177, 166 (1972), and Science 177, 168 (1972). J.C. Hafele, Relativistic time for terrestrial circumnavigations. Am. J. Phys. 40, 81–85 (1971)
T. Jones, Splitting the Second. The Story of Atomic Time (Institute of Physics Publishing, Bristol and Philadelphia, 2000), p. 137
P. Langevin, L’évolution de l’espace et du temps. Scientia 10, 31–54 (1911)
C. Møller, The Theory of Relativity, 2nd edn. (Clarendon Press, Oxford, 1972), Sect. 8.17, p. 293
E.P. Wigner, On unitary representations of the inhomogeneous Lorentz group. Ann. Math. 40, 149–204 (1939)
G.P. Fisher, The Thomas precession. Am. J. Phys. 40, 1772 (1972)
A. Ben-Menahem, Wigner’s rotation revisited. Am. J. Phys. 53, 62 (1985)
(i) L.H. Thomas, The kinematics of an electron with an axis. Phil. Mag. Ser. 7, 3, 1 (1927). (ii) H. Zatzkis, The Thomas precession. J. Frankl. Inst. 269, 268 (1960). (iii) R. Ferraro, M. Thibeault, Generic composition of boosts: an elementary derivation of the Wigner rotation. Eur. J. Phys. 20, 143 (1999). (iv) H. Gelman, Sequences of co-moving Lorentz frames. J. Math. Anal. Appl. 145, 524 (1990). (v) E.G. Peter Rowe, The Thomas precession. Eur. J. Phys. 5, 40 (1984). (vi) C. Møller, The Theory of Relativity, 2nd edn. (Clarendon Press, Oxford, 1972), p. 52. (vii) H. Goldstein, C. Poole, J. Safko, Classical Mechanics, 3rd edn. (Addison Wesley, 2002), p. 282. (viii) E.F. Taylor, J.A. Wheeler, Spacetime Physics (W.H. Freeman and Co, San Francisco, 1966), p. 169
L.H. Thomas, Motion of the spinning electron. Nature 117, 514 (1926)
C.W.F. Everit et al., Gravity probe B: final results of a space experiment to test general relativity. Phys. Rev. Lett. 106 (22), 221101 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Christodoulides, C. (2016). Applications of Relativistic Kinematics. In: The Special Theory of Relativity. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-25274-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-25274-2_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25272-8
Online ISBN: 978-3-319-25274-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)