Some asymptotic conditions of worldlines in Minkowski space. II

    Research output: Contribution to journalArticle

    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 languageEnglish
    Pages (from-to)3235-3242
    Number of pages8
    JournalJournal of the Physical Society of Japan
    Volume63
    Issue number9
    Publication statusPublished - 1994 Sep

    Fingerprint

    Minkowski space
    inclusions
    Venn diagrams
    relativistic particles

    Keywords

    • Asymptotic condition
    • Special relativity
    • Worldline

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Some asymptotic conditions of worldlines in Minkowski space. II. / Yoneda, Gen.

    In: Journal of the Physical Society of Japan, Vol. 63, No. 9, 09.1994, p. 3235-3242.

    Research output: Contribution to journalArticle

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