Skip to main content
Log in

Exact rotational space-time transformations, Davies-Jennison experiments and limiting Lorentz-Poincaré invariance

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

Abstract

Jennison deduced from the rotational experiments that a rotating radius rr measured by the rotating observer is contracted by \( r_{r} = r(1-\omega^{2} r^{2}/c^{2})^{1/2}\) , compared with the radius r measured in an inertial frame. This conclusion differs from the result based on Lorentz transformations. Since rotational frames are not equivalent to inertial frames, we analyze the rotational experiments by using the exact rotational space-time transformations rather than the Lorentz transformations. We derive exact rotational transformations on the basis of the principle of limiting Lorentz-Poincaré invariance. The exact rotational transformations form a pseudo-group rather than the usual Lie group. They support Jennison’s contraction of a rotating radius and are consistent with two Davies-Jennison experiments. We also suggest new experimental tests for the exact rotational transformations.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.P. Hsu, L. Hsu, Phys. Lett. A 196, 1 (1994) (this paper showed that one can formulate a physical theory based solely on the first postulate of relativity. The time evolution $w$ variable in such a theory is most natural to be measured in the unit of length, just like the units for $x$, $y$ and $z$)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. L. Hsu, J.P. Hsu, Nuovo Cimento B 112, 1147 (1997) appendix

    Google Scholar 

  3. J.P. Hsu, L. Hsu, Nuovo Cimento B 112, 575 (1997)

    Google Scholar 

  4. J.P. Hsu, L. Hsu, Space-Time Symmetry and Quantum Yang-Mills Gravity (World Scientific, Singapore, New Jersey, 2013) Chapts. 3--5

  5. J.P. Hsu, L. Hsu, A Broader View of Relativity, General Implications of Lorentz and Poincaré Invariance (World Scientific, New Jersey, Singarpore, 2006) pp. 402–415 and, online, “google books, a broader view of relativity, Hsu”

  6. D.C. Champency, P.B. Moon, Proc. Phys. Soc. 77, 350 (1961)

    Article  ADS  Google Scholar 

  7. D.C. Chempency, G.R. Issak, A.M. Khan, Proc. Phys. Soc. 85, 583 (1965)

    Article  ADS  Google Scholar 

  8. R.C. Jennison, Nature (London) 203, 395 (1964)

    Article  ADS  Google Scholar 

  9. P.A. Davies, R.C. Jennison, Nature 248, 660 (1974)

    Article  ADS  Google Scholar 

  10. F.J.M. Farley, J. Bailey, E. Picasso, Nature 217, 17 (1968)

    Article  ADS  Google Scholar 

  11. G.N. Pellegrini, A.R. Swift, Am. J. Phys. 63, 694 (1995) and references therein

    Article  MathSciNet  ADS  Google Scholar 

  12. J.J. Sakurai, Invariance Principles and Elementary Particles (Princeton University Press, 1964) p. v, pp. 3--5 and p. 10

  13. O. Veblen, J.H.C. Whitehead, The Foundations of Differential Geometry (Cambridge University Press, 1953) pp. 37--38

  14. J.P. Hsu, Int. J. Mod. Phys. A 21, 5119 (2006) arXiv:1102.2253

    Article  ADS  MATH  Google Scholar 

  15. J.P. Hsu, Eur. Phys. J. Plus 126, 24 (2011) arXiv:1102.2253

    Article  Google Scholar 

  16. P.A. Davies, R.C. Jennison, J. Phys. A. Math. 8, 1390 (1975)

    Article  ADS  Google Scholar 

  17. H.W. Thim, IEEE Trans. Instrum. Meas. 52, 1660 (2003) (we discuss Thim’s experiment in a separate paper)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hsu, JP., Hsu, L. Exact rotational space-time transformations, Davies-Jennison experiments and limiting Lorentz-Poincaré invariance. Eur. Phys. J. Plus 128, 74 (2013). https://doi.org/10.1140/epjp/i2013-13074-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2013-13074-4

Keywords

Navigation