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[en] In classical (non-quantum) relativity theory, the course of a moving clock is dilated when compared to the course of a clock at rest (the Einstein dilation). Any unstable system may be regarded as a clock. The time evolution (e.g., the decay) of a uniformly moving physical system is considered using relativistic quantum theory. An example of a moving system is given whose evolution turns out to be speeded-up instead of dilated. A discussion of this paradoxical result is presented.