Global logic resulting from disequilibration process

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)33-62
Number of pages30
JournalBioSystems
Volume35
Issue number1
DOIs
Publication statusPublished - 1995

Keywords

  • Biological computation
  • Cellular automata
  • Disequilibration
  • Measurement

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics

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