A Geometrical Characterization of the Twin Paradox and its Variants.
The aim of this paper is to provide a conceptual analysis of the twin paradox (TwP) within a first-order logic framework. We give a geometrical characterization of TwP and its variants, for example, one without differential aging (No-TwP). It is shown that TwP is not equivalent to the assumption of slowing down of moving clocks and No-TwP is not equivalent to the Newtonian assumption of the absoluteness of time. The connection of TwP and a symmetry axiom of Special Relativity is also studied.
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