Deriving of the Generalized Special Relativity (GSR) by Using Mirror Clock and Lorentz Transformations

Author(s)
M. H. M. Hilo^{1},
R. Abd Elgani^{1},
R. Abd Elhai^{1},
M. D. Abd Allah^{1},
Amel A. A. Elfaki^{2}

Affiliation(s)

^{1}
Department of Physics, Sudan University of Science and Technology, Khartoum, Sudan.

^{2}
Department of Physics, Bahri University, Khartoum, Sudan.

ABSTRACT

Einstein relativity theory shows its high capability of promoting itself to solve the long stand physical problems. The so-called generalized special relativity (GSR) was derived later, using the beautiful Einstein relation between field and space-time curvature. In this work we re-derive (GSR) expression of time by incorporating the field effect in it, and by using mirror clock and Lorentz transformations. This expression reduces to that of (GSR) the previous conventional one, besides reducing to special relativistic expression. It also shows that the speed of light is constant inside the field and is equal to C. This means that the observed decrease of light in matter and field is attributed to the strong interaction of photons with particles and mediates which causes successive absorption and reemission processes that lead to time delay. This absorption process makes some particles appear to move faster than light within the field or medium. This new expression, unlike that of GSR, can describe time and coordinate relativistic expressions for strong as well as weak fields at constant acceleration.

Einstein relativity theory shows its high capability of promoting itself to solve the long stand physical problems. The so-called generalized special relativity (GSR) was derived later, using the beautiful Einstein relation between field and space-time curvature. In this work we re-derive (GSR) expression of time by incorporating the field effect in it, and by using mirror clock and Lorentz transformations. This expression reduces to that of (GSR) the previous conventional one, besides reducing to special relativistic expression. It also shows that the speed of light is constant inside the field and is equal to C. This means that the observed decrease of light in matter and field is attributed to the strong interaction of photons with particles and mediates which causes successive absorption and reemission processes that lead to time delay. This absorption process makes some particles appear to move faster than light within the field or medium. This new expression, unlike that of GSR, can describe time and coordinate relativistic expressions for strong as well as weak fields at constant acceleration.

Cite this paper

Hilo, M. , Elgani, R. , Elhai, R. , Allah, M. and Elfaki, A. (2014) Deriving of the Generalized Special Relativity (GSR) by Using Mirror Clock and Lorentz Transformations.*Natural Science*, **6**, 1275-1281. doi: 10.4236/ns.2014.617117.

Hilo, M. , Elgani, R. , Elhai, R. , Allah, M. and Elfaki, A. (2014) Deriving of the Generalized Special Relativity (GSR) by Using Mirror Clock and Lorentz Transformations.

References

[1] Lawdre, D.F. (1982) An Introduction to Tensor Calculus and Relativity. John Wiley and Sons, New York, Chapter 5, 6.

[2] Weinberg, S. (1972) Gravitation and Cosmology. John Wiley and Sons, New York, Chapter 5, 6.

[3] Savickas, D. (2002) Relation between Newtonian Mechanics, General Relativity and Quantum Mechanics. Journal of Physics, 70, 798-807.

[4] Mubarak, D.A. and Ali, T. (2003) The Special Relativity in the Presence of Gravitation and Other Field. University of Khartoum, Khartoum.

[5] Dirrar, M., Hilo, M.H.M., Abd Elgani, R. and Bakheet, A.M.A. (2013) Neutrino Speed Can Exceed the Speed of Light within the Frame Work of the Generalized Special Relativity and Savickas Model. Natural Science, 5, 685-688.

http://dx.doi.org/10.4236/ns.2013.56084

[6] Hilo, M.H.M. (2011) Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift. Journal of Modern Physics, 2, 370-373.

http://dx.doi.org/10.4236/jmp.2011.25045

[7] Hilo, M.H.M., et al. (2011) Using of the Generalized Special Relativity (GSR) in Estimating the Neutrino Masses to Explain the Conversion of Electron Neutrinos. Natural Science, 3, 334-338.

http://dx.doi.org/10.4236/ns.2011.34044

[8] Narlikar, J.V. (1993) Introduction to Cosmology. 2nd Edition, Cambridge University Press, Cambridge.

[9] Xu, C., Uis, G.F.R.E., Xu, X.J. and El Tahir, A. (1992) The Generalized Field Equation. South African Journal of Physics, 15, 5.7.

[1] Lawdre, D.F. (1982) An Introduction to Tensor Calculus and Relativity. John Wiley and Sons, New York, Chapter 5, 6.

[2] Weinberg, S. (1972) Gravitation and Cosmology. John Wiley and Sons, New York, Chapter 5, 6.

[3] Savickas, D. (2002) Relation between Newtonian Mechanics, General Relativity and Quantum Mechanics. Journal of Physics, 70, 798-807.

[4] Mubarak, D.A. and Ali, T. (2003) The Special Relativity in the Presence of Gravitation and Other Field. University of Khartoum, Khartoum.

[5] Dirrar, M., Hilo, M.H.M., Abd Elgani, R. and Bakheet, A.M.A. (2013) Neutrino Speed Can Exceed the Speed of Light within the Frame Work of the Generalized Special Relativity and Savickas Model. Natural Science, 5, 685-688.

http://dx.doi.org/10.4236/ns.2013.56084

[6] Hilo, M.H.M. (2011) Using of the Generalized Special Relativity in Deriving the Equation of the Gravitational Red-Shift. Journal of Modern Physics, 2, 370-373.

http://dx.doi.org/10.4236/jmp.2011.25045

[7] Hilo, M.H.M., et al. (2011) Using of the Generalized Special Relativity (GSR) in Estimating the Neutrino Masses to Explain the Conversion of Electron Neutrinos. Natural Science, 3, 334-338.

http://dx.doi.org/10.4236/ns.2011.34044

[8] Narlikar, J.V. (1993) Introduction to Cosmology. 2nd Edition, Cambridge University Press, Cambridge.

[9] Xu, C., Uis, G.F.R.E., Xu, X.J. and El Tahir, A. (1992) The Generalized Field Equation. South African Journal of Physics, 15, 5.7.