New law of adding velocities

Let us see. We would like to have the velocity in the coordinate system O, but first let us find the velocity in the coordinate system O, i.e. From the Lorentz 

By extracting or using the mmetry relation (when O O, then v —v) we obtain  

In this way we have obtained a new rule of adding the velocities of the train and its passenger. Everybody naively thought that if the train velocity is v and, the passenger velocity with respect to the train corridor is i/, then the velocity of the passenger with respect to the platform is E = u +1/. It turned out that this is not true. On the other hand when both velocities are small with respect to c, then indeed one restores the old rule 

Once more we have been unable to exceed the speed of Kght c. One last attempt. Let us take the train velocity as u = 0.95c, and fire along the corridor a powerful 

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The Vanishing of Apparent Forces The Galilean Transformation The Michelson-Morley Experiment The Galilean Transformation Crashes The Lorentz Transformation New Law of Adding Velocities The Minkowski Space-Time Continuum How do we Gel E =... 

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