A Geometrical Characterization of the Twin Paradox and its Variants

Details A Geometrical Characterization of the Twin Paradox and its Variants A Geometrical Characterization of the Twin Paradox and its Variants

2008-07-11

arxiv.org/abs/0807.1813v2

Studia Logica 95:161-182,2010

Physics

Mathematical Physics

22 pages, 3 figures

Scientific paper

10.1007/s11225-010-9253-7

The aim of this paper is to provide a logic-based conceptual analysis of the twin paradox (TwP) theorem within a first-order logic framework. A geometrical characterization of TwP and its variants is given. It is shown that TwP is not logically equivalent to the assumption of the slowing down of moving clocks, and the lack of TwP is not logically equivalent to the Newtonian assumption of absolute time. The logical connection between TwP and a symmetry axiom of special relativity is also studied.

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