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The length of a longitudinally moving rod

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Einstein used the Lorentz-equations to transform the instantaneous position-coordinates at the moving-tail and moving-nose of a rod (within an inertial reference-frame (IRF) relative to which the rod is moving with a speed v) into the inertial reference-frame within which the rod is permanently stationary. He concluded from this transformation that such a rod contracts when it is moving past at a speed v. But, according to Galileo's principle of inertia, the natural state of a matter-entity, when it experiences no forces, is to remain stationary within its own inertial reference-frame. Motion of such an entity with mass is caused by a relativistic coordinate transformation of its position-coordinates from the inertial reference-frame within which this entity is permanently stationary into the inertial reference-frame within which the entity is observed to be moving with the speed v. When judged in terms of Galileo's concept of inertia, Einstein's transformation of moving coordinates into permanently stationary coordinates has no physics-meaning. Here, the change in length of a rod (passing at speed v) is derived by Lorentz-transforming the permanently stationary position-coordinates at the beginning and end of the rod, from the inertial reference-frame within which the rod is permanently stationary into the inertial reference-frame relative to which the rod is moving with speed v. In contrast to Einstein's derivation, an increase in the length of the moving rod is obtained: It is found that this length-increase bestows on any matter-entity a de Broglie wavelength.
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Keywords: Coherent Wave Motion; Electron-Wave; Length-Contraction; Lorentz-Transformation; Lorentz‐Fitzgerald Contraction; Special Theory of Relativity; de Broglie’s Wavelength

Document Type: Research Article

Publication date: 30 December 2013

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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