Bird's-Eye View of Primitive Chaos

TL;DR

This paper introduces a bird's-eye view perspective on primitive chaos, revealing a hierarchical structure that suggests the potential for diverse chaos phenomena in physical and simulated systems.

Contribution

It proposes a new hierarchical framework for primitive chaos, enhancing understanding of chaos structures in physics and simulations.

Findings

Hierarchic structure of primitive chaos identified

Visual perspective reveals potential variety of chaos

Framework aids in understanding chaos in physical and simulated systems

Abstract

The notion of primitive chaos was proposed [J. Phys. Soc. Jpn. {\bf 79}, 15002 (2010)] as a notion closely related to the fundamental problems of physics itself such as determinism, causality, free will, predictability, and irreversibility. In this letter, we introduce the notion of bird's-eye view into the primitive chaos, and we find a new hierarchic structure of the primitive chaos. This means that if we find a chaos in a real phenomenon or a computer simulation, behind it, we can clearly realize the possibility of tremendous varieties of chaos in the hierarchic structure unless we can see them visually.