GPS-Compatible Lorentz Transformation that Satisfies the Relativity Principle

The Lorentz transformation (LT) is the centerpiece of Einstein’s special theory of relativity (STR). It satisfies the two postulates of relativity: the relativity principle (RP) and the assumption of the constancy of the speed of light in free space (LSP). It was pointed out as early as 1898 by Lorentz that there is a degree of freedom in the definition of a space-time transformation that satisfies the LSP and/or leaves Maxwell’s equations invariant. He introduced a series of four equations that can be referred to as the General Lorentz transformation (GLT) in which a common normalization function appears on the right-hand side of each relation. 

It therefore follows that there are an infinite number of such transformations that satisfy the LSP. However, the RP puts another constraint on the definition of a fully relativistic space-time transformation. In addition, there is the obvious criterion that the equations must be in agreement with all relevant experimental data In the following it will be shown that, although the LT satisfies both of the relativity postulates, it fails to predict the results of a number of experiments that were carried out in the latter half of the 20th century. Read more>>>>>>>>>