Ordered addition of two Lorentz boosts through spatial and space-time rotations
| dc.creator | Iyer, Chandru | |
| dc.creator | Prabhu, G. M. | |
| dc.date | 2007-04-16 | |
| dc.date | 2007-05-08 | |
| dc.date.accessioned | 2026-07-07T07:59:39Z | |
| dc.date.available | 2026-07-07T07:59:39Z | |
| dc.description | The ordered addition of two Lorentz boosts is normally shown to result in a boost by utilizing concepts from group theory and non-Euclidian geometry. We present a method for achieving this addition by performing a sequence of spatial rotations and uni-dimensional Lorentz transformations. The method is first developed for two-dimensional space and it is then extended to three-dimensional space by utilizing the commutative property of the rotation of the y-z plane and a boost along the x-axis. The method employs only matrix multiplication and certain invariant quantities that are natural consequences of spatial rotations and Lorentz transformations. The combining of two boosts in different directions into a single boost cannot be expected a priori because we show that the converse of this statement is not true. That is, two rotations interspersed with a boost cannot always be reduced to a single rotation preceded and followed by boosts. | |
| dc.description | 9 pages, Content changed, Typo fixed, One reference added | |
| dc.identifier | https://arxiv.org/abs/0704.2023 | |
| dc.identifier | http://arxiv.org/abs/0704.2023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128448 | |
| dc.subject | Classical Physics | |
| dc.title | Ordered addition of two Lorentz boosts through spatial and space-time rotations | |
| dc.type | text |