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Lorentz‐Poincare transformations and a local drift

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Two mathematical models of echolocation with light in the Galilean world under the presence of a hypothetical local drift were proposed, and the restrictions imposed by the Lorentz‐Poincaré transformations were studied. For the first proposed model, which considered a uniform drift, the characteristic speed of the drift required for the conservation of the space-time interval was determined. It is equal to the rate of the displacement of the geometrical center of the considered observers. As was shown, such a model is an approximation to the model with a nonuniform drift (the second proposed model). Two possibilities for the physical nature of the light drift were discussed: the creation and movement of the new vacuum or a coordinated variation in its local physical state. An adequate generalization of Einstein's light speed invariance postulate was proposed. Finally, a discussion of the objectivity of cognition in physics was conducted. The Lorentz‐Poincaré transformations and special relativity were shown to be a possible result of the indirect measurement of the objective Galilean coordinates in the real world. It was also suggested that classical electrodynamics could be a consequence of the same phenomenon. Furthermore, the dynamic equivalence of the mass determined by the echolocation method to the proper rest mass was shown.
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Keywords: Lorentz‐Poincare Transformations; Special Relativity

Document Type: Research Article

Publication date: December 30, 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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