A radioactive nucleus of half life 1 micro second move through the laboratory at 2.7c, where C is velocity of light 3×10^8 m / second the half life measured by an observers in the laboratory will be
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Radioactive nuclei are not tachyons - hypothetical particles moving faster than light. Maybe it is only a mistake in the given speed. In general lifetime of a relativistic radioactive nucleus is increased by a Lorentz gamma factor 1/Sqrt(1-(v/c)^2).
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