Abstract
The Lorentz transformations transform the coordinates in a frame at rest and those in a frame moving with a constant velocity with respect to the rest frame. We analyze the Lorentz transformations using a world line diagram and simple algebra, obtaining some astonishing results. We use two examples to demonstrate that the Lorentz transformations contradict reality and are invalid. Employing the proper definition of simultaneity, we formulate the coordinate transformations between the two frames and obtain the Galileo transformations. Additionally, we suppose A, M, and B are points on the x-axis moving in the x direction and the distances AM = MB. Source S rests on the x-axis and emits signals when S and M coincide. The emitted signal reaches A earlier than it reaches B. In other words, A, which is approaching the signal source, receives the signal earlier than B, which is moving away from the signal source.
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