English

A Structure behind Primitive Chaos

Chaotic Dynamics 2015-03-26 v2 Mathematical Physics General Topology math.MP

Abstract

Recently, a new concept, primitive chaos, was proposed, as a concept closely related to the fundamental problems of physics itself such as determinism, causality, free will, predictability, and irreversibility [J. Phys. Soc. Jpn. {\bf 79}, 15002 (2010)]. This letter reveals a structure hidden behind the primitive chaos; under some conditions, a new primitive chaos is constructed from the original primitive chaos, this procedure can be repeated, and the hierarchic structure of the primitive chaos is obtained. This implies such a picture that new events and causality is constructed from the old ones, with the aid of the concept of a coarse graining. As an application of this structure, interesting facts are revealed for the essential condition of the primitive chaos and for the chaotic behaviors.

Keywords

Cite

@article{arxiv.1503.06685,
  title  = {A Structure behind Primitive Chaos},
  author = {Yoshihito Ogasawara},
  journal= {arXiv preprint arXiv:1503.06685},
  year   = {2015}
}
R2 v1 2026-06-22T08:59:40.117Z