Characteristic spaces emerging from primitive chaos

Yoshihito Ogasawara, Shinichi Oishi

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    This paper describes the emergence of two characteristic notions, nondegenerate Peano continuum and Cantor set, by the exploration of the essence of the existence of primitive chaos from a topological viewpoint. The primitive chaos is closely related to vital problems in physics itself and leads to chaotic features under natural conditions. The nondegenerate Peano continuum represents an ordinarily observed space, and the existence of a single nondegenerate Peano continuum guarantees the existence of infinite varieties of the primitive chaos leading to the chaos. This result provides an explanation of the reason why we are surrounded by diverse chaotic behaviors. Also, the Cantor set is a general or universal notion different from the special set, the Cantor middle-third set, and the existence of a single Cantor set guarantees infinite varieties of the primitive chaos leading to the chaos. This analogy implies the potential of the Cantor set for the method of new recognizing physical phenomena.

    Original languageEnglish
    Article number014001
    JournalJournal of the Physical Society of Japan
    Volume83
    Issue number1
    DOIs
    Publication statusPublished - 2014 Jan 15

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Characteristic spaces emerging from primitive chaos. / Ogasawara, Yoshihito; Oishi, Shinichi.

    In: Journal of the Physical Society of Japan, Vol. 83, No. 1, 014001, 15.01.2014.

    Research output: Contribution to journalArticle

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