Non-coordinate time/velocity pairs in special relativity
| dc.creator | Fraundorf, P. | |
| dc.date | 1996-07-17 | |
| dc.date.accessioned | 2026-07-07T09:13:52Z | |
| dc.date.available | 2026-07-07T09:13:52Z | |
| dc.description | Motions with respect to one inertial (or ``map'') frame are often described in terms of the coordinate time/velocity pair (or ``kinematic'') of the map frame itself. Since not all observers experience time in the same way, other time/velocity pairs describe map-frame trajectories as well. Such coexisting kinematics provide alternate variables to describe acceleration. We outline a general strategy to examine these. For example, Galileo's acceleration equations describe unidirectional relativistic motion {\it exactly} if one uses $V=\frac{dx}{dT}$, where $x$ is map-frame position and $T$ is clock time in a chase plane moving such that $γ^{\prime }=γ\sqrt{\frac 2{γ+1}}$. Velocity in the traveler's kinematic, on the other hand, has dynamical and transformational properties which were lost by coordinate-velocity in the transition to Minkowski space-time. Its repeated appearance with coordinate time, when expressing relationships in simplest form, suggests complementarity between traveler and coordinate kinematic views. | |
| dc.description | RevTeX, full (3+1)D treatment w/5 tables, 1bw and 1greyscale figure. Mat'l on 1D origins at http://www.umsl.edu/~fraundor/a1toc.html | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9607038 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9607038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152475 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Physics Education | |
| dc.title | Non-coordinate time/velocity pairs in special relativity | |
| dc.type | text |