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Old Nov 9th 2008, 09:28 AM   #1
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Theory of special relativity

Because there is no such thing as absolute simultaneity, two observers in relative motion may disagree on which of two events A and B occurred first. Supposed, however, that an observer in reference frame S measures that event A occurred first and cause even B. For example, even A might be pushing a light switch, and even B might be a light bulb turning on. Prove that an observer in another frame S' cannot measure event B (the effect) occurring before even A (the cause). The temporal order of cause and effect is preserved by the Lorentz transformation equations. Hint: for event A to cause even B, information must have traveled form A to B, and the fastest that anything can travel is the speed of light.
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