True Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. II. the Comparison with Experiments

Some of the well-known experiments: the ''muon'' experiment, the Michelson-Morley type experiments, the Kennedy-Thorndike type experiments and the Ives-Stilwell type experiments are analyzed using the nonrelativistic theory, the ''apparent transformations (AT) relativity'' and the ''true transformations (TT) relativity.'' It is shown that all the experiments (when they are complete from the ''TT relativity'' viewpoint) are in agreement with the ''TT relativity'' in which the special relativity is understood as the theory of a four-dimensional spacetime with the pseudo-Euclidean geometry. It is also explicitly shown that, in contrast to the usual opinion, the commonly used ''AT relativity'' does not always agree with experiments. The concept of sameness of a physical quantity is essential for the distinction between the two forms of relativity both in the theory and in experiments. The difference in this concept causes the agreement of the ''TT relativity'' with the experiments and the disagreement of the ''AT relativity.''