In this paper, it has been shown that some experimental confirmations for the so-called "time dilation effect" may be in a rational way explained on the basis of a thought experiment presented in a previous paper [J. Drozdzynski, Phys. Essays 26, 321 (2013)]. The performed analysis has proven, that in order to carry out a round trip of a laser pulse from the source to a perpendicular located mirror and back to the starting point, the laser source in motion of the spaceship with a constant speed must be pointed at an angle in the direction of movement; whereas at rest it should be directed perpendicular to that axis. This means, that we have not to deal with a "time dilation effect" but with two separate measurements of two separate laser signals, moving at two different distances. The ratio of the two time intervals is expressed by a somewhat different equation as stated by the Special Theory Relativity and possesses also a dissimilar meaning. It has been shown also that it can be evaluated by the observer in motion by himself as well as that the phenomenon of a relativistic length contraction does not exist. On this basis, a quantitative relation between time intervals of such oscillations in two reference frames, which are in motion with a different speed with respect to the frame at absolute rest, has been received. The relation may be of some significance for the Global Positioning System (GPS). A rational explanation of the "moving clocks" experiments as well as the "time dilation effect" of muons is presented. The existence of "paradoxes," resulting from Special Relativity has been excluded. A new elucidation of the null result in the Michelson-Morley experiment is presented. The analysis was based on classical physics and is giving additional evidence for the erroneousness of the principle of relativity. (C) 2014 Physics Essays Publication.
