Provides the proof of the theoretical existence of superluminal velocities in Einstein’s theory without any paradox. Experimentally superluminal velocities were discovered, and everybody was endeavoured (including myself) to argue away facts. Maybe this ultra short article will be helpful. Please take a look at the following animation also: https://youtu.be/DDwfLImSs0o. It seems necessary to point out that the angles in the space-time diagram are not circular trigonometric measures, but are hyperbolic arguments. These arguments add up for adjacent angles, but it makes no sense to give pi/2 or pi/4 values to such arguments, or to apply on them trigonometric functions such as sin, cos etc. You can apply hyperbolic functions such as hyperbolic sine (sinh) and hyperbolic cosine, etc.
