Some asymptotic conditions of worldlines in Minkowski space

Gen Yoneda, Yoshiyasu Ishigami, Satoshi Arima

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    This paper presents four asymptotic conditions of smooth worldlines in Minkowski space that are often used in special relativistic particle dynamics. (A) Permanency with respect to an observer's time. (B) Permanency with respect to the proper time. (C) Finiteness of the gamma factor. (D) Intersection with the light cone of any apex. The conditions (B) and (D) are free from observers and it is verified that (A) and (C) are invariant conditions for all inertial observers. To examine the inclusion relations between (A), (B), (C) and (D), some inclusion relations are proved and some are denied by counter examples. Then the concluding Venn diagram is obtained. Such researches must interest theoretical physicists who unintentionally use one or plural number of these conditions.

    Original languageEnglish
    Pages (from-to)1495-1499
    Number of pages5
    JournalJournal of the Physical Society of Japan
    Volume62
    Issue number5
    Publication statusPublished - 1993 May

    Fingerprint

    Minkowski space
    Venn diagrams
    inclusions
    relativistic particles
    intersections
    cones
    counters
    apexes

    Keywords

    • Asymptotic condition
    • Special relativity
    • Worldline

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Some asymptotic conditions of worldlines in Minkowski space. / Yoneda, Gen; Ishigami, Yoshiyasu; Arima, Satoshi.

    In: Journal of the Physical Society of Japan, Vol. 62, No. 5, 05.1993, p. 1495-1499.

    Research output: Contribution to journalArticle

    Yoneda, Gen ; Ishigami, Yoshiyasu ; Arima, Satoshi. / Some asymptotic conditions of worldlines in Minkowski space. In: Journal of the Physical Society of Japan. 1993 ; Vol. 62, No. 5. pp. 1495-1499.
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