原始混沌背后的结构

摘要：

最近，一个新的概念，原始混沌，被提出，作为一个概念密切相关的物理学本身的基本问题，如决定论，因果关系，自由意志，可预测性和不可逆性[J. Phys. Soc. Jpn. { \bf 79}，15002（2010）]。这封信揭示了隐藏在原始混沌背后的一种结构，在一定条件下，由原始混沌构造新的原始混沌，这个过程可以重复，得到原始混沌的层次结构。这意味着这样一种图景，即新事件和因果关系是在粗粒化概念的帮助下从旧事件和因果关系中构建出来的。作为该结构的一个应用，揭示了原始混沌的本质条件和混沌行为的有趣事实。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。