A New Version of Special Relativity Absorbed the Uncertainty Principle: Its Content as Well as Application and Experimental Test


Based on the space spherical symmetry of 3-dimensional and the translational symmetry of time and the uncertainty principle, a 4-dimensional space-time cylinder model of quarks and leptons is established. With this model, equations of the special relativity can be extended more perfectly, thereby achieving a unity of the special relativity and quantum mechanics in deeper level. New equations can not only interpret issues explained by old equations but also solve several important pending problems. For example, a formula to strictly calculate the coefficient ξ of Lorentz invariance violation (LIV) is derived, to above 4 × 1019 eV UHECR protons the calculated |ξ| < 4.5 × 10-30, although there is the LIV effect it is too weak to change the GZK cutoff, which is consistent with observations of HiRes and Auger; Also, a relation formula between the Hubble constant and several basic constants is derived, thus theoretically calculated H0 = 70.937 km·s-1·Mpc-1, which is well consistent with the final observation result of HST Key Project. In addition, an unusual effect predicted by new equations can be experimentally tested in the electron storage ring; a preliminary experiment result has hinted its signs of existence.

Share and Cite:

Qian, D. (2014) A New Version of Special Relativity Absorbed the Uncertainty Principle: Its Content as Well as Application and Experimental Test. Journal of Modern Physics, 5, 1146-1166. doi: 10.4236/jmp.2014.512117.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] HiRes Collaboration (2008) Physical Review Letters, 100, Article ID: 101101. [arXiv:astro-ph/0703099]
[2] Auger Collaboration (2008) Physical Review Letters, 101, Article ID: 061101. [arXiv:0806.4302]
[3] Magueijo, J. and Smolin, L. (2002) Physical Review Letters, 88, Article ID: 190403. [arXiv:hep-th/0112090v2]
[4] Freedman, W.L., Madore, B.F., Gibson, B.K., Ferrarese, L., Kelson, D.D., Sakai, S., et al. (2001) Astrophysical Journal, 553, 47-72. [arXiv:astro-ph/0012376v1]
[5] Einstein, A. (1955) Relativity: The Special and the General Theory. Note to the Fifteenth Edition, Methuen & Co. Ltd., London.
[6] Landau, L.D. and Lifschitz, E.M. (1977) The Quantum Mechanics. English Translation, Pergamon.
[7] Greisen, K. (1966) Physical Review Letters, 16, 748.
[8] Zatsepin, G.T. and Kuzmin, V.A. (1966) Pisma Zh. Eksp. Teor. Fiz., 4, 114-117.
[9] Takeda, M., Hayashida, N., Honda, K., Inoue, N., Kadota, K., Kakimoto, F., et al. (1998) Physical Review Letters, 81, 1163-1166. [arXiv:astro-ph/9807193]
[10] Coleman, S. and Glashow, S.L. (1999) Physical Review D, 59, Article ID: 116008. [arXiv:hep-ph/9812418v3]
[11] Scully, S.T. and Stecker, F.W. (2009) Astroparticle Physics, 31, 220-225. [arXiv:0811.2230v4]
[12] Bi, X.J., Cao, Z., Li, Y. and Yuan, Q. (2009) Physical Review D, 79, Article ID: 083015. [arXiv:astro-ph/0812.0121]
[13] Magueijo, J. (2003) Faster than the Speed of Light. Perseus Publishing, New York.
[14] Zeng, J.Y. (1981) Quantum Mechanics. Science Press, 209-212.
[15] Dirac, P.A.M. (1937) Nature, 139, 323.
[16] Weinberg, S. (1980) Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (1972). Chinese Translations, Science Press, 724-726.
[17] Qian, D.P. (2010) Journal of Liaoning University, Natural Sciences Edition, 37, 236-240.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.