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 | ||||||
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| 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 |
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| Depositing User: | Gergely Székely | ||||||
| Date Deposited: | 12 Jul 2008 | ||||||
| Last Modified: | 07 Oct 2010 15:16 | ||||||
| Item ID: | 4103 | ||||||
| Subjects: | Specific Sciences > Mathematics Specific Sciences > Physics > Relativity Theory |
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| Date: | July 2008 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/4103 |
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