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Three-Dimensional Vectorial Approach to Relativity


Franco-Rodriguez, Jorge Adalberto


Research Papers


Relativity Theory



Date Published:

December 04, 2019




Lorentz Transformations, Special and general Relativity, Nnew Rrelativistic Mass, New Relativistic Magnitudes, Vectorial Lorentz Transformations.


In relativistic literature, the derivation of Lorentz Transformations (LT) is always presented confining system O’ to move along the X-axis of a fixed system O. A light ray is sent when the origins of O and O’ coincide, while two observers located at O and O’ measure the trajectory of the light wave front, traveling at the constant speed of light, until it reaches a point P. In the motion of the wave front it is incorrectly assumed that projections of the trajectory along the other axes are the same for O and O’, namely y = y’ and z = z’. This model is extended to particles that move slower than the speed of light to obtain the LT, by preserving the invariance of the interval. However, some physical and mathematical inconsistencies have been observed, such as the dissimilar manners (transversal, longitudinal) in which a particle’s shape is influenced by its velocity. Another prominent LT inconsistency is found with Maxwell’s equations, when the derivation is done sending the pulse of light perpendicularly to the displacement of the moving system O'. In this work, LT were corrected through a general vector transformation under the same principles of constancy of the speed of light and invariance of the structure of the laws of physics in any inertial system. This correction was named Vectorial Lorentz Transformations (VLT) and practical applications of VLT were undertaken and achieved.

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