Lorenz-Einstein Playground

Note that the Lorentz transformation has been modified by Albert Einstein, in order to fulfill the equations [math]x=ct[/math] and [math]x'=ct'[/math], i.e. the invariance of the speed of light is applied to all frames of reference. Using Einstein's equations the Lorentz transformation [i]changes[/i] its features: [br]From a calculation model of figures in [i]translation status[/i] toward a model of [i]sizing and shaping[/i] through movement. [br][br][list][br][*]Switch off all the scale features and vary the time slider or the ß-slider ([math]ß=v/c[/math])![br]What is the result? To describe this case, how can the formulae be simplified?[br][*]Play a little bit with the ß-slider![br]You will detect how the red coordinate system is [b]shrinking[/b]. Just compare H an H' by x and use the shift-checkbox.[br][*]Switch off the [b]shift[/b] and the [b]lift[/b] option while increasing the ß-value![br]The red coordinate system will move toward the max value indicating v=c. The origin of the red system is moving toward t=0,x=0. Why is this a [b]necessary[/b] feature?[br][/list]