Coevolution of machines and tapes

Abstract

A problem of self-referential paradox and self-reproduction is discussed in a network model of machines and tapes. A tape consists of a bit string, encoding function of a machine. Tapes are replicated when it is attached by an adequate machine. Generally, a tape is replicated but it may be different from the original one. In this paper, external noise evolves diversity in a system. New reaction pathway induced by external noise will be reproduced deterministically by an emerging autocatalytic network. Hence it will remain stable after external noise is turned off. Low external noise develops a minimal self-replicative loop. When external noise is elevated, a more complex network evolves, where a core structure emerges. Tapes in a core network can be bifurcated into either a RNA-like or a DNA-like tape with respect to its usage in an autocatalytic loop.