The emergence hypothesis and computational universality at the edge of chaos

Kosaku Inagaki · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1999

This paper proposes a hypothetical theory called the “emergence hypothesis” that tries to unify the evolution of life and intelligence based on the superexponential law and computational universality. The superexponential law is an extension of the square-root law proposed by Kauffman, and its validity is examined by investigating human pattern recognition characteristics, neural networks, and molecular biological data. Computational universality, called “elemental universality,” is proved to be a necessary condition for the crystallization of order in the Kauffman networks, which means that the edge of chaos has potential computational universality. Elemental universality, decomposed into nonlinearity and negative feedback, can be regarded as a kind of natural law, which, however, may not belong to conventional materialistic physics. © 1999 Scripta Technica, Electron Comm Jpn Pt 3, 82(11): 1–8, 1999

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