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2006

Physical Sciences and Mathematics

SelectedWorks

Theory of Vectorial Relativity

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Energy In Vectorial Relativity: E ≈ M.C2, Jorge A. Franco Nov 2006

Energy In Vectorial Relativity: E ≈ M.C2, Jorge A. Franco

Jorge A Franco

In previous work it was shown that assumptions, y = y' and z = z’, within Lorentz Transformations were needless, and therefore groundless. Because of such assumptions, Lorentz Transformations (LT) depend on the body’s spatial orientation, i.e. the well-known transverse and longitudinal transformations of magnitudes, characterized by different scaling factors. On the contrary, the development of LT without assumptions, brought about new transformations that do not depend on spatial orientation and a unique mass definition, m = °m /[1 –(v/c)^2]^(3/2). As it is known, Einstein arrived at two definitions: transverse mass mT = °m /[1 –(v/c)^2]^ (1/2) and longitudinal mass …


Gravitation In Vectorial Relativity, Jorge A. Franco Nov 2006

Gravitation In Vectorial Relativity, Jorge A. Franco

Jorge A Franco

It is known that Kepler’s Laws can be derived from the Newton’s Law of Universal Gravitation. For doing this, mass is considered as an invariable parameter. Although this consideration works wonderfully to solve most of problems in astronomy calculations, as in all physics, when body’s speeds are so high and very precise measurements are required, the referred Kepler Laws do not cope enough what is expected. That’s why the General Theory of Relativity materialized. As it was indirectly pointed out by Einstein in 1905, Newton and Kepler Laws do not consider the relativistic variation of mass with its velocity. In …


Local Lorentz Transformations And Vectorial Relativity, Jorge A. Franco, Jose G. Quintero Nov 2006

Local Lorentz Transformations And Vectorial Relativity, Jorge A. Franco, Jose G. Quintero

Jorge A Franco

In previous work it was shown that instead of the known Lorentz Transformations (LT) the new obtained Vectorial Lorentz Transformations (VLT) were the transformations that truly respected the postulates of the Principle of Relativity and the consideration of the speed of light as a universal constant. In this review is presented the way how it is possible to obtain practical consequences of the VLT, and its applications to our real life.


Vectorial Lorentz Transformations, Jorge A. Franco Feb 2006

Vectorial Lorentz Transformations, Jorge A. Franco

Jorge A Franco

We have noticed in relativistic literature that the derivation of Lorentz Transformations (LT) usually is presented by confining the moving system O’ to move along the X-axis, namely, as a particular case of a more general movement. When this movement is generalized different transformations are obtained (which is a contradiction by itself) and a hidden vectorial characteristic of time is revealed. LT have been generalized in order to solve some physical and mathematical inconsistencies, such as the dissimilar manners (transversal, longitudinal) the particle’s shape is influenced by its velocity and LT’s inconsistency with Maxwell equations when in its derivation the …