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The smallest time increment of time is the Planck time, 10-42 seconds (which I think is 10 to the million, million, million, million, million, million, millionth of a second). It is the time that light takes to travel the smallest measurable distance. Also see, http://www.khouse.org/articles/1997/23/

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15y ago
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Q: What is the shortest period of time?
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