Some Asymptotic Conditions of Worldlines in Minkowski Space. II

Gen Yoneda*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)3235-3242
Number of pages8
Journaljournal of the physical society of japan
Issue number9
Publication statusPublished - 1994 Jan 1


  • asymptotic condition
  • special relativity
  • worldline

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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