Relativity principles in 1+1 dimensions and differential aging reversal
Abstract
We study the behavior of clocks in 1+1 spacetime assuming the relativity principle, the principle of constancy of the speed of light and the clock hypothesis. These requirements are satisfied by a class of Finslerian theories parametrized by a real coefficient β, special relativity being recovered for β=0. The effect of differential aging is studied for the different values of β. Below the critical values |β| =1/c the differential aging has the usual direction - after a round trip the accelerated observer returns younger than the twin at rest in the inertial frame - while above the critical values the differential aging changes sign. The non-relativistic case is treated by introducing a formal analogy with thermodynamics.
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