Global logic resulting from disequilibration process.
Describing a system in which internal detection or observation proceeds at a finite velocity is always destined to end up with a form of self-contradiction. For any formal language, for such a description, we must assume that the velocity of observation propagation or VOP be infinity. In the present paper, we propose a self-referential scheme intended for formally describing a system exhibiting the process of disequilibration propagating at a finite VOP, and find that a global logic can emerge from local disequilibration. Conservative cellular automata of Margolus type, for instance, enable disequilibration to be replaced by such a process that the number of particles is not conserved globally while appearing to be conserved by local observers. One cannot determine local rules universally. Nevertheless, global logic emerges as a result of the dynamics of a one-to-many type mapping. This is a fundamental aspect of natural languages or communication relevant to natural life and intelligence.
Gunji
Y P
YP
Department of Earth and Planetary Sciences, Faculty of Science, Kobe University Nada, Japan.
D005075:Biological Evolution; D001699:Biometry; D003142:Communication; D006801:Humans; D007802:Language; D008128:Logic; D008433:Mathematics; D008954:Models, Biological