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A Geometrical Characterization of the Twin Paradox and its Variants

Székely, Gergely (2008) A Geometrical Characterization of the Twin Paradox and its Variants. [Preprint]

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    Abstract

    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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    Item Type: Preprint
    Additional Information: 16 pages, 3 figures
    Keywords: twin paradox; geometrical characterization; logical foundations; axiomatization; special relativity
    Subjects: Specific Sciences > Mathematics
    Specific Sciences > Physics > Relativity Theory
    Depositing User: Gergely Székely
    Date Deposited: 12 Jul 2008
    Last Modified: 07 Oct 2010 11:16
    Item ID: 4103
    URI: http://philsci-archive.pitt.edu/id/eprint/4103

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