Relativity Laws for the Variation of Rates of Clocks Moving in Free Space and GPS Positioning Errors Caused by Space-Weather Events

Buenker, Robert J.; Голубков, Г. В.; Голубков, М. Г.; IvanKarpov,; Manzheliy, Mikhail

doi:10.5772/55792

Cited by 3 publications

(2 citation statements)

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“…It is because it is only one of an infinite number of space-time transformations that satisfy Einstein's light-speed postulate. [21][22][23] As such, it is consistent with the relativistic velocity transformation (VT), 1 but so are all the other possibilities. The VT in turn is directly responsible for all the confirmed experimental results that have previously been attributed to the LT.…”

Section: The Gps-compatible Version Of the Lorentz Transformationmentioning

confidence: 90%

“…(2) is an obvious candidate for this purpose. As mentioned in previous work, [21][22][23]30,31 it is first necessary to convert the UTDL into a form which is consistent with the primed-unprimed notation of the VT. This can be done quite easily by equating s 1 with Dt 0 and s 2 with Dt and setting their ratio equal to the proportionality constant Q ¼ cðv 10 Þ= c v 20 ð Þ, i.e.,Dt ¼ Q À1 Dt.…”

Section: The Gps-compatible Version Of the Lorentz Transformationmentioning

confidence: 98%

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Application of relativity theory to the global positioning system

Buenker¹

2014

phys essays

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The Global Positioning System (GPS) measures distances by determining the elapsed time for light to pass between the corresponding endpoints and multiplying this value with the speed of light c. An example is considered in which a metal rod and a clock are carried onboard a satellite. It is shown that Einstein's light-speed postulate is only consistent with the deduction that the rod has increased in length at the same time that the clock has slowed down because of time dilation. Both results are independent of the orientation of the metal rod to an observer on the earth's surface, so the above conclusion indicates that isotropic length expansion accompanies time dilation (clock riddle) on the satellite, contrary to expectations from the Fitzgerald-Lorentz length contraction prediction of the Special Theory of Relativity. This logical argument thus shows that the Lorentz transformation is self-contradictory and therefore invalid. It is also shown that the experimental results of the transverse Doppler Effect are only consistent with isotropic length expansion accompanying time dilation. A GPS-compatible space-time transformation is then derived that removes the contradiction of the LT while still satisfying Einstein's two postulates of relativity. V C 2014 Physics Essays Publication. [http://dx.Résumé: Le système de localisation mondial GPS mesure les distances en déterminant la durée que met la lumière à passer entre les points d'extrémité correspondants et en multipliant cette valeur par la vitesse de la lumière, c. Nous considérons un exemple dans lequel une tige métallique et une horloge sont placées à bord d'un satellite. Nous montrons que le postulat de la vitesse de la lumière d'Einstein est seulement compatible avec la déduction que la longueur de la tige a augmenté en même temps que l'horloge a ralenti en raison de la dilatation du temps. Ces deux résultats sont indépendants de l'orientation de la tige métallique par rapport à un observateur à la surface de la Terre, ce qui signifie que la conclusion ci-dessus implique qu'une dilatation de longueur isotrope accompagne la dilatation du temps (paradoxe de l'horloge) dans le satellite, contrairement à la prédiction de la Contraction de longueur de Fitzgerald-Lorentz (FLC) de la Théorie de la relativité restreinte. Cet argument logique montre par conséquent que la transformation de Lorentz se contredit elle-même et ne peut donc être valide. On montre également que les résultats expérimentaux de l'Effet Doppler transverse sont seulement compatibles avec la dilatation de longueur isotrope qui accompagne la dilatation du temps. Une transformation de l'espace-temps compatible avec le GPS est donc établie pour éliminer la contradiction de la LT tout en respectant les deux postulats de la relativité d'Einstein.

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Section: The Gps-compatible Version Of the Lorentz Transformationmentioning

confidence: 90%

Section: The Gps-compatible Version Of the Lorentz Transformationmentioning

confidence: 98%