Relativity and Cosmology

   

The Traveling Twins Paradox

Authors: Ramzi Suleiman

A modified version of the Twin Paradox (TP), termed the Traveling Twins Paradox (TTP), is described. In the TTP, the twins move towards each other, via two identical fast vehicles, from two starting points, located along the x axis at coordinates +(l+ ∆l) and –(l+ ∆l), respectively. The twins first accelerate up to velocity v along identical runways of length ∆l each, then they shut down engines and travel towards each other with constant equal velocities (v). After passing each other they use the same runways to decelerate and stop. Unlike the standard TP, the scenario of the TTP is completely symmetric. Moreover, in the range (-l, +l) the TTP system is inertial. Thus, all solutions resorting to a preferred frame of reference (the "staying" twin in the standard TP), or to General Relativity (acceleration/deceleration effects) do not apply. This implies that the TTP poses an unsolvable paradox in Special Relativity.

Comments: 5 Pages.

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[v1] 2014-04-26 07:13:38

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