**Author:**

Franco-Rodriguez, Jorge Adalberto

**Category:**

Research Papers

**Sub-Category:**

Relativity Theory

**Date Published:**

October 6, 2019

**Keywords:**

Lorentz Transformations; Vectorial Lorentz Transformations; Relativistic Time, Mass, Energy, Quantum Mechanics, Fields, Gravitation. Calculation of the Planet Orbits, of the Precession of Mercury Perihelion.

**Abstract:**

In this work the main conceptual errors that sequentially were introduced in the development of the Special Theory of Relativity (SR) are explained. A simple presentation of the Lorentz Transformations (LT) is given, within where it is emphasized that, by using an incomplete configuration, repeated by more than one hundred years, it leads to a first error of a chain of them, when it is assumed that the cross sectional components, in the movable inertial reference system, are invariant or not affected by its relative movement respect a fixed inertial system, on the basis of a presumed “postulate of isotropy“ that equals the referred moving components to those of the fixed inertial system. Making use of the general configuration of an inertial system moving on an inclined line relative to the X- axis, and by considering parallel axes between them, correct results for the transformations of distance, time and speed are obtained. These new transformations were called Vectorial Transformations of Lorentz (VLT). In this work is given a discussion of the different possibilities of interpreting the vector structure of time inside the VLT. This concludes with the correction of the mistake of considering time as a vector that we have used in previous papers. Based on the development of the VLT arose the definitions of the Local Transformations of Lorentz (LLT) which allowed as well to as much demarcate more complete the concepts of local time as those of local physical magnitudes.

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