In Galileo system, x=vt, if only if dx/dt is constant. Lorentz transformation goal is distances (x, x’) x=vt and x’=ct’ are mathematically equal in both systems with symmetry. So c is not Galileo or classic velocity, and t’ is not classic time. C is really the property of the space, or medium, or Ether. It is not velocity in Galileo.( v, C),(t,t’), they are (Apple, Orange), (Peach,Grape) in two math systems. People are still thinking they are same things. That causes confusion. Saying if an object moves at speed of light, time stops. That’s wrong. It should be said t’ in Lorentz stops, or equal to 0. In Galileo t is uniform. Speed of light C is constant from any observer at different speeds. That is wrong. c in Galileo changes from observers, C in Lorentz as the property of space is constant. Then there is no ambiguity, confusing, both accurate in their own system for/from measurements. Time dilution, space-time curvature, etc. are all bogus. If you use Fourier series to express a signal S, it is not the signal in time domain, it’s amplitude A in frequency domain. Nobody uses A-S, calling “signal dancing”. But sigma of all these series by frequency goes back to the value of signal in time domain. They are just mathematically equivalent, not necessarily physically same. There are many ways to do it mathematically, too. Relativity is just another way of measuring of our nature using electric magnetic wave in Lorentz system. It is mathematical ONLY. It has advantages over Galileo system in Astronomy. In Algol events (visit Algol website) proves the speed of light wave in Galileo system changes with observer’s or earth’s motion.