Skip to main content
Log in

The twin paradox and Mach’s principle

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

The problem of absolute motion in the context of the twin paradox is discussed. It is shown that the various versions of the clock paradox feature some aspects which Mach might have appreciated. However, the ultimate cause of the behavior of the clocks must be attributed to the autonomous status of spacetime, thereby proving the relational program advocated by Mach as impracticable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. Mach, The Science of Mechanics (Open Court, La Salle, 1960)

  2. J. Barbour, H. Pfister (Editors), Mach’s Principle: From Newton’s Bucket to Quantum Gravity (Birkhäuser, Boston, 1995)

  3. H.I.M. Lichtenegger, B. Mashhoon, Mach’s principle, in Gravitomagnetism: A Challenging Enterprise, edited by L. Iorio (Nova, New York, 2007) p. 13

  4. H. Bondi, J. Samuel, Phys. Lett. A 228, 121 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. W. Rindler, Phys. Lett. A 187, 236 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. A. Einstein, Grundzüge der Relativitätstheorie (Vieweg, Braunschweig, 1956)

  7. B. Mashhoon, Phys. Lett. A 126, 393 (1988)

    Article  ADS  Google Scholar 

  8. B. Mashhoon, Nuovo Cimento B 109, 187 (1994)

    Article  ADS  Google Scholar 

  9. C.H. Brans, D.R. Stewart, Phys. Rev. D 8, 1662 (1973)

    Article  ADS  Google Scholar 

  10. P.C. Peters, Am. J. Phys. 51, 791 (1983)

    Article  ADS  Google Scholar 

  11. R.J. Low, Eur. J. Phys. 11, 25 (1990)

    Article  Google Scholar 

  12. J.D. Barrow, J. Levin, Phys. Rev. A 63, 044104 (2001)

    Article  ADS  Google Scholar 

  13. T. Dray, Am. J. Phys. 58, 822 (1990)

    Article  ADS  Google Scholar 

  14. E. Eriksen, O. Grøn, Eur. J. Phys. 11, 39 (1990)

    Article  Google Scholar 

  15. L. Iorio, Found. Phys. Lett. 18, 1 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  16. P. Jones, L.F. Wanex, Found. Phys. Lett. 19, 75 (2006)

    Article  MATH  Google Scholar 

  17. E. Minguzzi, Am. J. Phys. 73, 876 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. H. Nikolić, Found. Phys. Lett. 13, 595 (2000)

    Article  MathSciNet  Google Scholar 

  19. D.F. Styer, Am. J. Phys. 75, 805 (2007)

    Article  ADS  Google Scholar 

  20. B. Mashhoon, The hypothesis of locality and its limitations, in Relativity in Rotating Frames, edited by G. Rizzi, M.L. Ruggiero (Kluwer, Dordrecht, 2003) p. 43

  21. W. Rindler, Introduction to Special Relativity (Clarendon Press, Oxford, 1991)

  22. C. Møller, The Theory of Relativity (Clarendon Press, Oxford, 1972)

  23. C.H. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Freeman, New York, 1973)

  24. B.R. Holstein, A.R. Swift, Am. J. Phys. 40, 746 (1972)

    Article  ADS  Google Scholar 

  25. M.A. Abramovicz, S. Bajtlik, preprint at http://arxiv.org/abs/0905.2428 (2009)

  26. O. Grøn, S. Braeck, Eur. Phys. J. Plus 126, 79 (2011)

    Article  Google Scholar 

  27. H.I.M. Lichtenegger, F. Gronwald, B. Mashhoon, Adv. Space Res. 25, 1255 (2000)

    Article  ADS  Google Scholar 

  28. F.L. Markley, Am. J. Phys. 41, 1246 (1973)

    Article  ADS  Google Scholar 

  29. A. Tartaglia, Class. Quantum Grav. 17, 783 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  30. H. Erlichson, Am. J. Phys. 53, 53 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  31. E. Minguzzi, Found. Phys. Lett. 15, 153 (2002)

    Article  MathSciNet  Google Scholar 

  32. F. Selleri, Found. Phys. Lett. 18, 325 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  33. J.W. Durso, H.W. Nicholson, Am. J. Phys. 41, 1078 (1973)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. Iorio.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lichtenegger, H., Iorio, L. The twin paradox and Mach’s principle. Eur. Phys. J. Plus 126, 129 (2011). https://doi.org/10.1140/epjp/i2011-11129-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2011-11129-2

Keywords

Navigation