Modified transformation laws of coordinates and composition of velocities


  • Mohd. Javed Khilji Independent Researcher





Cosmology, Electrodynamics, Lorentz Transformation, Relative Motion, Special Relativity.


A new transformation law of coordinates is determined, which allows the inclusion of complex velocity vectors. It is found that in an isotropic universe which is filled with matter throughout, each frame can have references for its position of rest or of motion in a localized domain wherein a frame at rest does not change its position with time relative to surroundings. However, in the system, the moving frame sees only a reflection of its own motion in the rest-frame to appear it moving in antipodal direction. It is therefore, the relative motion cannot be said to be a just direction reversal with two real velocities having a single magnitude common between them; however, it is a synthesis of both real and imaginary motions. The proposed transformation laws are similar to that of Lorentz under which vector quantities be in cross product or in dot product remain invariant such as Maxwell equations. However, inherent scalar quantities such as mass, time etc. vary to distinguish rest-frame from the moving one. It is seen that the physical processes are exactly the same as Einstein predicted but without reciprocity effects and thus provide a justification of quantization of red-shift and particle decay. These considerations are useful in understanding the intricacies of the micro world such as short-lived particle, antimatter, subatomic particles, gamma rays, gamma-ray burst (GRBs), cosmic rays, dark matter, and asymmetry of Doppler’s shifting images.


[1] Rafael F., Einstein’s space – time: an introduction to special and general relativity Springer P. 1 (2007).

[2] Eringen A. C., Maugin G.A. Electrodynamics of Continua II, Springer – verlag New York Inc. printed in USA, (1990) pp 720,721.

[3] Cumming Karen, Priscilla, Law W, Redish E.F, Understanding Physics, PJ Cooney John Wiley & Sons Inc. N Delhi, 2004, Induction a charge in Magnetic Field, pp 891.

[4] Khilji, J. M. intrinsic laws of motion are invariant, Physics Essays, 24, (2011).

[5] Khilji, J. M. Modified Field Theory, Journal of Theoretics, Dec. (2004).

[6] Beiser Arthur, 2005, Concept of modern physics, 6th edition, Tata McGrawhills Co., New Delhi, Lorentz transformation, pp 39 to 41.

[7] Hans C. O Hanian, 1994, Principles of Physics, The theory of Special Relativity relativistic combination rule for velocities, , w.w Norton & company New York, pp 27.

[8] Jackson John David, 2007, Classical Electrodynamics III, invariance of electric charge covariance John Wiley & sons (Asia) New Delhi, second print pp 553 to 558.

[9] KraneKenneths, ,Modern Physics, Willy India, reprint 2006, pp 65, review of electromagnetic waves ExB Lorentz Transformation, pp 35.

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