Topological Paradoxes of Time Measurement

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Lisker, Roy
preprint description
This paper applies the ideas presented in "Time, Euclidean Geometry and Relativity" ID 1290 , to a specific problem in temporal measurement. It is shown that, under very natural assumptions, that if there is a minimum time interval T in ones collection of clocks, it is impossible to measure an interval of time 1/2T save by the accidental construction of a clock which pulses in that interval. This situation is contrasted to that for length, in which either the Euclidean Algorithm or a ruler and compass construction can be used to construct a lengh 1/2L from a length Lo