A General Theory of Information Transfer

All living beings use autopoiesis and cognition to manage their “life” processes from birth through death. Autopoiesis enables them to use the specification in their genomes to instantiate themselves using matter and energy transformations. They reproduce, replicate, and manage their stability. Cognition allows them to process information into knowledge and use it to manage its interactions between various constituent parts within the system and its interaction with the environment. Currently, various attempts are underway to make modern computers mimic the resilience and intelligence of living beings using symbolic and sub-symbolic computing. We discuss here the limitations of classical computer science for implementing autopoietic and cognitive behaviors in digital machines. We propose a new architecture applying the general theory of information (GTI) and pave the path to make digital automata mimic living organisms by exhibiting autopoiesis and cognitive behaviors. The new science, based on GTI, asserts that information is a fundamental constituent of the physical world and that living beings convert information into knowledge using physical structures that use matter and energy. Our proposal uses the tools derived from GTI to provide a common knowledge representation from existing symbolic and sub-symbolic computing structures to implement autopoiesis and cognitive behaviors.

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Markov – Stieltjes transformation of measures and some of its applications

Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics Series ◽

10.29235/1561-2430-2018-54-4-468-479 ◽

2019 ◽

Vol 54 (4) ◽

pp. 468-479

Author(s):

I. S. Kovalyova

Keyword(s):

Inversion Formula ◽

Information Transfer ◽

Boundary Behavior ◽

Integral Operators ◽

Point Of View ◽

Stieltjes Transform ◽

Theory Of Information ◽

The Given ◽

The Uniqueness Theorem ◽

Stieltjes Type

The paper is devoted to the study of the properties of the Markov – Stieltjes transformation of measures. In the works of J. Anderson, A. A. Pekarsky, N. S. Vyacheslavov, E. P. Mochalina et al., the functions of Markov – Stieltjes type were studied from the point of view of the approximation theory. In the works of A.R. Mirotin and the author, the Markov – Stieltjes transform of functions was studied as an operator in Hardy and Lebesgue spaces. In this paper, the general properties of the Markov – Stieltjes transform of measures are studied, the theorem of analyticity and the uniqueness theorem are proved, the Markov – Stieltjes transformations of positive and complex measures are described, the inversion formula and the continuity theorem are established, the boundary behavior of the given transformation is investigated. In particular, the analogues of the Sokhotsky – Plemelya formulas are established. Applications to the theory of self-conjugate operators are given. In addition, the results obtained can find use in the theory of functions and integral operators, as well as in the theory of information transfer, in particular, in the theory of signal processing.

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Information: Concept Clarification and Theoretical Representation

tripleC Communication Capitalism & Critique Open Access Journal for a Global Sustainable Information Society ◽

10.31269/triplec.v9i2.284 ◽

2011 ◽

Vol 9 (2) ◽

pp. 347-357 ◽

Cited By ~ 2

Author(s):

Mark Burgin

Keyword(s):

Information Theory ◽

General Theory ◽

Mathematical Models ◽

Synthetic Approach ◽

Conceptual Level ◽

Theoretical Level ◽

Information Operations ◽

Theory Of Information ◽

Concept Of Information ◽

Information Concept

The general theory of information is a synthetic approach, which organizes and encompasses all main directions in information theory. It is developed on three levels: conceptual, methodological and theoretical. On the conceptual level, the concept of information is purified and information operations are separated and described. On the methodological level, it is formulated as system of principles, explaining what information is and how to measure information. On the theoretical level, mathematical models of information are constructed and studied. The goal of this paper is to clarify the concept of information and discuss its mathematical models, establishing relations with physics as the most developed science.

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