Simple continued fractions and special relativity
Abstract: Let be inertial frames of reference in a one dimensional relativistic universe where the speed of light is , k some natural number. For let have velocity 1 with respect to . Let denote the velocity of with respect to . Then only if or 5 will be a simple continued fraction convergent of infinitely often.
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Keywords: Special relativity, simple continued fraction, velocity addition laws
Article copyright: © Copyright 1977 American Mathematical Society