Special Relativity in Accelerated Systems

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Abstract
Within Special Relativity accelerated systems can be described as those systems in which standard clock synchronism does not hold. Therefore, the ε-generalized Lorentz equations derived by Winnie are the equations governing accelerated systems. The ε-generalized equation for time is used in analyzing two cases of the clock paradox: (1) the case in which a clock travels in a straight line, stops, and returns, and (2) the case in which a clock travels with uniform velocity in a circular path. The treatment of case (1) of the paradox within this generalization of the Special Theory is compared with Møller's treatment of it within the General Theory.

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