Both Special Relativity and Galileo transformations are correct?
The impression of most people on Special Relativity is: When the speed is close to the speed of light, we use the Special Relativity transformation.
But for everyday case, we use Galileo transformation. Galileo transformation is an approximation of Special Relativity transformation under low speed.
This view is not much related to my paper.
Special Relativity has no restriction on speed.
In Einstein's paper on Special Relativity, both transformations appear in the exact same senario.
By the way, it is a unfounded claim that Galileo transformation is an approximation of Special Relativity transformation.
Galileo transformation is absolutely accurate, as it fully obeys the law of the first postulate.
The details about this is shown in section "The First Postulate" in the paper.