Abstract
The previous paper I of this series presented four asymptotic conditions of smooth worldlines in Minkowski space and researched the inclusion relations between them. This paper moreover presents three asymptotic conditions that are used in special relativistic particle dynamics. (1) There is no end of the worldline. (2) From any point, the perpendicular to the worldline is drawable. (3) The acceleration vanishes asymptotically. The inclusion relations between seven conditions are researched by showing some inclusion relations and by examining some examples. Then the concluding Venn diagram is obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 3235-3242 |
| Number of pages | 8 |
| Journal | journal of the physical society of japan |
| Volume | 63 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1994 Jan 1 |
Keywords
- asymptotic condition
- special relativity
- worldline
ASJC Scopus subject areas
- Physics and Astronomy(all)