Forma, Vol. 18 (No. 4), pp. 249-262, 2003
Original Paper

The Relationship of the Cotangent Function to Special Relativity Theory, Silver Means, p-cycles, and Chaos Theory

Jay Kappraff1* and Gary W. Adamson2

1New Jersey Institute of Technology, Newark, NJ 07102, U.S.A.
2P.O. Box 124571, San Diego, CA 92112-4571, U.S.A.
*E-mail address:

(Received October 14, 2003; Accepted November 28, 2003)

Keywords: Cotangent, Relativity, Silver Means, Periodic Trajectories, Chaos Theory

Abstract. The cotangent function is shown to play a key role in special relativity theory, silver mean constants, p-cycles for all positive integer values of p, and period doubling bifurcations from chaos theory. Geometry and properties of number play important roles in the analysis. A new theorem pertaining to periodic continued fractions is introduced.

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