Some minimally-variant map-based rules of motion at any speed
| dc.creator | Fraundorf, P. | |
| dc.date | 1997-04-15 | |
| dc.date | 1998-07-27 | |
| dc.date.accessioned | 2026-07-07T09:04:49Z | |
| dc.date.available | 2026-07-07T09:04:49Z | |
| dc.description | We take J. S. Bell's commendation of ``frame-dependent'' perspectives to the limit here, and consider motion on a ``map'' of landmarks and clocks fixed with respect to a single arbitrary inertial-reference frame. The metric equation connects a traveler-time with map-times, yielding simple integrals of constant proper-acceleration over space (energy), traveler-time (felt impulse), map-time (momentum), and time on the clocks of a chase-plane determined to see Galileo's original equations apply at high speed. Rules follow for applying frame-variant and proper forces in context of one frame. Their usefulness in curved spacetimes via the equivalence principle is maximized by using synchrony-free and/or frame-invariant forms for length, time, velocity, and acceleration. In context of any single system of locally inertial frames, the metric equation thus lets us express electric and magnetic effects with a single frame-invariant but velocity-dependent force, and to contrast such forces with gravity as well. | |
| dc.description | 9 pages (1 table, 1 fig, 17 refs/context updated) RevTeX, cf. http://www.umsl.edu/~fraundor/a1toc.html | |
| dc.identifier | https://arxiv.org/abs/physics/9704018 | |
| dc.identifier | http://arxiv.org/abs/physics/9704018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149516 | |
| dc.subject | Physics Education | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Classical Physics | |
| dc.title | Some minimally-variant map-based rules of motion at any speed | |
| dc.type | text |