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Generalized Edwards Transformation and Principle of Permutation Invariance

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Abstract

The relativity of simultaneity is generalized by using the concept of synchronization gauge. The Lorentz transformation is derived without the postulate of the universal limiting speed, and a generalized Edwards transformation is obtained by using the principle of permutation invariance (covariance). It is shown that the existences of the one-way universal limiting speed (in the Lorentz transformation) and the constancy of the two-way average speed of light (in the Edwards transformation) are the necessary consequences of the principle of permutation invariance that is consistent with the postulate of relativity. The connection between the Edward transformation and the general coordinate transformation is discussed, and based on this, we find that the physical meaning of the Edwards parameter, which indicates anisotropy of the speed of light, is a gravitomagnetic potential of the spacetime.

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References

  1. Jackson, J.D.: Classical Electrodynamics, 3rd edn. Wiley, New York (1998)

    Google Scholar 

  2. Terletskii, Y.P.: Paradoxes in the Theory of Relativity. Plenum, New York (1968)

    Google Scholar 

  3. Lee, A.R., Kalotas, T.M.: Am. J. Phys. 43, 434 (1975)

    Article  ADS  Google Scholar 

  4. Mermin, N.D.: Am. J. Phys. 52, 119 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  5. Coleman, B.: Eur. J. Phys. 24, 301 (2003)

    Article  MATH  Google Scholar 

  6. Edwards, W.F.: Am. J. Phys. 31, 482 (1963)

    Article  MATH  ADS  Google Scholar 

  7. Feinberg, G.: Phys. Rev. 159, 1089 (1967)

    Article  ADS  Google Scholar 

  8. Ellis, B., Bowman, P.: Philos. Sci. 34, 116 (1967)

    Article  Google Scholar 

  9. Reichenbach, H.: In: The Philosophy of Space and Time, p. 123. Dover, New York (1958)

    Google Scholar 

  10. Grünbaum, A.: In: Philosophical Problems of Space and Time, 2nd, enlarged edn. Boston Studies in the Philosophy of Science, vol. 12, p. 342. D. Reidel, Dordrecht/Boston (1973)

    Google Scholar 

  11. Winnie, J.: Philos. Sci. 37, 223 (1970)

    Article  Google Scholar 

  12. Zhang, Y.Z.: Experimental Foundations of Special Relativity (in Chinese). Scientific Press, Peking (1979)

    Google Scholar 

  13. Shen, J.Q.: Gen. Relativ. Gravit. 34, 1423 (2002)

    Article  MATH  Google Scholar 

  14. Shen, J.Q.: Phys. Rev. D 70, 067501 (2004)

    Article  ADS  Google Scholar 

  15. Wang, R., Zheng, Y., Yao, A., Langley, D.: Phys. Lett. A 312, 7 (2003)

    Article  ADS  Google Scholar 

  16. Wang, R., Zheng, Y., Yao, A.: Phys. Rev. Lett. 93, 143901 (2004)

    Article  ADS  Google Scholar 

  17. Wang, R., Zheng, Y., Yao, A.: Test of the one-way speed of light and the first-order experiment of Special Relativity using phase-conjugate interferometers. ar**v: physics/0609202 (2006) (www.arxiv.org)

  18. Pardy, M.: New paradox in the special theory of relativity generated by the string dynamics. ar**v: physics/0705024 (2007) (www.arxiv.org)

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Authors and Affiliations

  1. Centre for Optical and Electromagnetic Research, Zhejiang University, East Building No. 5, Zi**gang Campus, Hangzhou, 310058, People’s Republic of China

    Jian Qi Shen

  2. Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Yuquan Campus, Hangzhou, 310027, People’s Republic of China

    Jian Qi Shen

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  1. Jian Qi Shen
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Correspondence to Jian Qi Shen.

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Shen, J.Q. Generalized Edwards Transformation and Principle of Permutation Invariance. Int J Theor Phys 47, 751–764 (2008). https://doi.org/10.1007/s10773-007-9499-7

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  • DOI: https://doi.org/10.1007/s10773-007-9499-7

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