The Extensive Special Relativity and Comment on Local Lorentz Transformation in Varying Speed of Light Theory

It is proved that local Lorentz transformations for different systems cannot derive varying speed of light. Based on the special relativity principle, an invariant speed is necessarily obtained. Therefore, the exact basic principles of the special relativity should be redefined as: I. The special relativity principle, which derives necessarily an invariant speed. II. Suppose that the invariant speed in the theory is the speed of light in the vacuum c. If the second principle does not hold, for example, the superluminal motions exist, the theory will be still the extensive special relativity, in which the formulations are the same, only c is replaced by the invariant speed. If the invariant speed are various invariant velocities, the diversity of space-time will correspond to many worlds. Varying speed of light theory is probably connected only with the general relativity.