A Geometrical Characterization of the Twin Paradox and its Variants
Mathematical Physics
2012-11-20 v2 General Relativity and Quantum Cosmology
Logic
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0807.1813,
title = {A Geometrical Characterization of the Twin Paradox and its Variants},
author = {Gergely Szekely},
journal= {arXiv preprint arXiv:0807.1813},
year = {2012}
}
Comments
22 pages, 3 figures