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
Externally publishedYes

Fingerprint

Language
Observation
Logic
Formal languages
cellular automaton
Cellular automata
communication (human)
Intelligence
One to many
Formal Languages
Communication
communication
Cellular Automata
Natural Language
Observer
Infinity
Propagation
Internal
particle
detection

Keywords

  • Biological computation
  • Cellular automata
  • Disequilibration
  • Measurement

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics
  • Modelling and Simulation
  • Statistics and Probability
  • Ecology, Evolution, Behavior and Systematics
  • Biotechnology
  • Drug Discovery

Cite this

Global logic resulting from disequilibration process. / Gunji, Yukio.

In: BioSystems, Vol. 35, No. 1, 1995, p. 33-62.

Research output: Contribution to journalArticle

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