AbstractA detailed proof of the incorrectness of the special theory of relativity (STR) is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The unity of formal logic and rational dialectics is the only correct criterion of truth. The proof leads to the following irrefutable statement: STR as a consequence of incorrectness of Lorentz transformations contains gross errors. Gross errors are as follows: (1) two material metric inertial coordinate systems (the "primed" and "unprimed" coordinate systems) are not identical. Really, the "unprimed" coordinate system contains the clock that determines only the "unprimed" (ordinary) time, but the "primed" coordinate system contains both the clock that determines the "unprimed" time and the clock that determines the "primed" (non-ordinary, special) time. The "primed" (non-ordinary, special) time is not defined; (2) "unprimed" time characterizes the motion of some material object. This motion is described by the coordinate representation of the Galilean transformation formula. The coordinate representation of the equation of motion of light (photon) contains the "primed" (non-ordinary, special) time. "Primed" (non-ordinary, special) time is not defined; (3) the coordinate representation of the Galilean transformation formula and the coordinate representation of the equation of motion of light (photon) contain both the coordinates of material objects and the lengths of paths passed by material objects. Coordinate representations express the identity of the coordinate (i.e., the segment of the material scale) and the length of the path passed by a material object. But the coordinate representations are incorrect, because coordinate representations express a violation of the formal-logical law of lack of contradiction. According to the law of lack of contradiction, the coordinate of a material object (i.e., the segment of the coordinate scale) is not identical to the length of the path passed by the material object; (4) Substitution of the coordinate representation of the Galilean transformation formula in the coordinate representation of the equation of motion of light (photon) is an incorrect operation leading to Lorentz transformations. The essence of the operation is expressed by the mathematical equality, the left side of which is the "primed" coordinate of the material object as a function of "unprimed" (ordinary) time, and the right side is the "primed" coordinate of light (photon) as a function of "primed" (non-ordinary, special) time. This equality means the coincidence of material objects in the "primed" coordinate system. The nonsense is that the coincidence occurs at different moments in time for different objects: coincidence for the material object occurs at some point of "unprimed" (ordinary) time, and coincidence for light (photon) occurs at a certain point of "primed" (non-ordinary, special) time. Moreover, the nonsense is that the coincidence occurs not at fixed moments in time, but at arbitrary (current) points in time. Thus, the Lorentz transformations and the special theory of relativity are gross errors in physics. The special theory of relativity does not satisfy the criterion of truth and is not a scientific theory at all.
Z. Temur Kalanov (Wed,) studied this question.