Space-time trigonometry and formalization of the "Twin Paradox" for uniform and accelerated motions
| dc.creator | Boccaletti, Dino | |
| dc.creator | Catoni, Francesco | |
| dc.creator | Catoni, Vincenzo | |
| dc.date | 2005-09-20 | |
| dc.date.accessioned | 2026-07-07T06:20:10Z | |
| dc.date.available | 2026-07-07T06:20:10Z | |
| dc.description | The formal structure of the early Einstein's Special Relativity follows the axiomatic deductive method of Euclidean geometry. In this paper we show the deep-rooted relation between Euclidean and space-time geometries that are both linked to a two-dimensional number system: the complex and hyperbolic numbers, respectively. By studying the properties of these numbers together, pseudo-Euclidean trigonometry has been formalized with an axiomatic deductive method and this allows us to give a complete quantitative formalization of the twin paradox in a familiar "Euclidean" way for uniform motions as well as for accelerated ones. | |
| dc.description | 18 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0509161 | |
| dc.identifier | http://arxiv.org/abs/physics/0509161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95256 | |
| dc.subject | Classical Physics | |
| dc.title | Space-time trigonometry and formalization of the "Twin Paradox" for uniform and accelerated motions | |
| dc.type | text |