Lorentz‐Poincare transformations and a local drift
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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Document Type: Research Article
Publication date: December 30, 2013
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