On Space Emerging from Chaos

Abstract

The purpose of this study is to find the relation between the chaos theory and space perception. The tent map is a typical chaotic map and it has an interesting property related to general problems about determinism, causality, free will, and irreversibility. Then, as its generalized property, the notion of a primitive chaos is proposed, and we can see the emergence of notion of nondegenerate Peano continuum by exploring sufficient conditions for the existence of the primitive chaos from a topological viewpoint.