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Volume 15: Pages 235-245, 2002
Realistic Lorentz Transformation
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The Lorentz transformation has been developed in order to explain that the velocity of light always appears constant in all moving frames and in all directions. In order to solve that problem, Lorentz calculates the change of space metric between frames, so that the velocity of light can appear constant in all frames. We show here that there is an error in the conventional Lorentz transformation. Lorentz calculates the transformation of coordinates assuming a possible change of metric along the x, y, and z axes. However, his calculation is limited only to a change in size of the axes. The parameters available in the Lorentz formulation leave no possibility of taking into account any rotation between axes of frantes. We see below that there is actually an overlooked rotation α of the y axis. Of course, it is not possible to detect the rotation of empty space. There is then no physical matter on which measurements can be made. In physics only direct measurements of the size of matter in that space or using matter surrounding that space can be made. Only real matter can be measured. The interpretation of the Lorentz transformation appears as an esoteric change in the space metric between frames of empty space. In spite of this, this problem can be logically solved in realistic physics using the principles of mass‐energy conservation and quantum mechanics. In this paper we show that, contrary to Lorentz, the transverse size of matter must change in a moving frame due to an inescapable rotation of the y axis.
Keywords: Lorentz transformation, Einstein, relativity, space contraction, speed of light, space metric, time metric, space‐time, time dilation, Galilean transformation, Fitzgerald, Michelson‐Morley
Received: April 18, 2002; Published online: December 15, 2008