Information, Bifurcation and Entropy in the Universal Rewrite System

The universal rewrite system, which has previously been applied especially to the generation of the number system and to nilpotent quantum mechanics, not only provides a generalised description for all natural processes but also creates a direct measure of entropy increase and of information transfer, which is especially significant for systems on the edge of chaos. Entropy and information can be shown to have a direct connection with the concept of the generation of the number field at a very fundamental level.