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

ABSTRACT

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 × 10^{19} 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 *H*_{0} = 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.

KEYWORDS

Special Relativity, Uncertainty Principle, Cylinder Model with Intrinsic 4-Dimensional Space-Time of Quarks/Leptons, Lorentz Invariance Violation, GZK Cutoff of UHECR, Planck Energy, Hubble Constant, Super-High Energy Electron, Electron Storage Ring

Special Relativity, Uncertainty Principle, Cylinder Model with Intrinsic 4-Dimensional Space-Time of Quarks/Leptons, Lorentz Invariance Violation, GZK Cutoff of UHECR, Planck Energy, Hubble Constant, Super-High Energy Electron, Electron Storage Ring

Cite this paper

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.

Qian, D. (2014) A New Version of Special Relativity Absorbed the Uncertainty Principle: Its Content as Well as Application and Experimental Test.

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[1] HiRes Collaboration (2008) Physical Review Letters, 100, Article ID: 101101. [arXiv:astro-ph/0703099]

http://dx.doi.org/10.1103/PhysRevLett.100.101101

[2] Auger Collaboration (2008) Physical Review Letters, 101, Article ID: 061101. [arXiv:0806.4302]

http://dx.doi.org/10.1103/PhysRevLett.101.061101

[3] Magueijo, J. and Smolin, L. (2002) Physical Review Letters, 88, Article ID: 190403. [arXiv:hep-th/0112090v2]

http://dx.doi.org/10.1103/PhysRevLett.88.190403

[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.

http://dx.doi.org/10.1103/PhysRevLett.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]

http://dx.doi.org/10.1103/PhysRevLett.81.1163

[10] Coleman, S. and Glashow, S.L. (1999) Physical Review D, 59, Article ID: 116008. [arXiv:hep-ph/9812418v3]

http://dx.doi.org/10.1103/PhysRevD.59.116008

[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]

http://dx.doi.org/10.1103/PhysRevD.79.083015

[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.

http://dx.doi.org/10.1038/139323a0

[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.