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Articles 1 - 11 of 11
Full-Text Articles in Physical Sciences and Mathematics
Relativistic Gravitational Potential Energy And General Free Fall: A Fundamental Topic In Physics, Jorge A. Franco
Relativistic Gravitational Potential Energy And General Free Fall: A Fundamental Topic In Physics, Jorge A. Franco
Jorge A Franco
In this paper, we derived expressions of the relativistic potential energy for radial, circular and general curvilinear motion of a mass under the influence of a gravitational field, and the equivalence relationship between velocity and radius in each case. Also it was obtained the influence of altitude on time, mass, length and other physical magnitudes for circular and general curvilinear motion, and for the static case or radial.
Relativistic Analysis Of Doppler Effect And Aberration Based On Vectorial Lorentz Transformations, Jorge A. Franco
Relativistic Analysis Of Doppler Effect And Aberration Based On Vectorial Lorentz Transformations, Jorge A. Franco
Jorge A Franco
In this paper, we derived more general and correct expressions for the Relativistic Doppler and Aberration effect.
Time Is Not A Vector: Corrections To The Article “Vectorial Relativity Versus Special Or General Relativity?”, Jorge A. Franco
Time Is Not A Vector: Corrections To The Article “Vectorial Relativity Versus Special Or General Relativity?”, Jorge A. Franco
Jorge A Franco
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“ …
Do Gravitational Waves Exist?, Jorge A. Franco
Estimation Of Planetary Orbits Via Vectorial Relativity (Vtr), Jorge A. Franco
Estimation Of Planetary Orbits Via Vectorial Relativity (Vtr), Jorge A. Franco
Jorge A Franco
The equation (approximate) for the Movement of Planets about a Massive Body, according to the theory VTR, is: d2u/(d2) + (1-6).u = , where u = 1/r and are parameters. Applying the previous model we obtain the paths of several planets of the Solar System. In addition we obtain the precession for every planet using the formula given by the Vectorial Relativity and we compare it with the values of the precession given by the GTR (General Theory of the Relativity).
Theoretical Result Of Deflection Of Light Under General Relativity Could Be Wrong, Jorge A. Franco
Theoretical Result Of Deflection Of Light Under General Relativity Could Be Wrong, Jorge A. Franco
Jorge A Franco
Through the new definitions of relativistic mass, gravitational field and that of Energy, obtained in previous work was derived a very approximate value of Mercury’s precession. In present work we address the photon’s motion around a massive body by doing the same treatment done for any mass. The clue to do this is due to realizing that photon has a real mass (depending on its linear momentum, kinetic energy and its frequency) and thus, it is susceptible to be attracted by another mass. According to this work, this is a consistent, general and natural way to attack the problem of …
First Solutions To Gravitation And Orbital Precession Under Vectorial Relativity, Jorge A. Franco
First Solutions To Gravitation And Orbital Precession Under Vectorial Relativity, Jorge A. Franco
Jorge A Franco
One of the reasons of the success of Einstein’s General Theory of Relativity (GTR) was that it allowed to calculate planet’s precession (rotation of the elliptical path axis with time, i.e.: Mercury Precession). The fact that its occurrence has been experimentally observed is not accounted by classic Kepler’s or Newton Laws because it is only applicable to constant masses. This work shows that planet’s precession is a direct consequence of considering variable planet’s mass inside accepted physical laws in our known three-dimensional space. According to us, this work positively confirms new definitions of mass and Energy obtained under Vectorial Relativity.
Energy In Vectorial Relativity: E ≈ M.C2, Jorge A. Franco
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
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
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
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 …