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Writing, Proofreading and Editing in Information Theory.

J Ricardo Arias-Gonzalez1,2

  • 1Instituto Madrileño de Estudios Avanzados en Nanociencia, C/Faraday 9, Cantoblanco, 28049 Madrid, Spain.

Entropy (Basel, Switzerland)
|December 3, 2020
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Summary
This summary is machine-generated.

This study introduces a mathematical theory for information creation and revision, drawing inspiration from biomolecular systems. This new formalism extends thermodynamic analysis to abstract symbol strings, applicable to diverse communication systems.

Keywords:
editingmemorynon-Markovianproofreadingreplicationstochasticthermodynamicstranscriptiontranslation

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Area of Science:

  • Information theory
  • Thermodynamics
  • Biomolecular systems

Background:

  • Information creation and processing lack a unified mathematical framework.
  • Existing theories do not fully capture the dynamics of information generation and revision.
  • Biomolecular systems offer a model for efficient information management.

Purpose of the Study:

  • To develop a mathematical formalism for information creation (writing) and revision.
  • To extend thermodynamic analysis of stochastic chains to abstract symbol strings.
  • To provide a unified theory applicable to diverse communication systems.

Main Methods:

  • Introduced 'writing' (bit string generation) and 'revision' (proofreading, editing) as core concepts.
  • Developed a non-Markovian treatment for operational rules on symbol chains.
  • Extended thermodynamic analysis of material chains to abstract information chains.

Main Results:

  • Established a mathematical framework for information chains, analogous to material chains.
  • Demonstrated how non-Markovian dynamics capture memory effects in information processing.
  • Showcased the theory's applicability across various domains.

Conclusions:

  • The proposed theory provides a robust mathematical foundation for understanding information.
  • This formalism unifies concepts across human languages, computer science, and gene evolution.
  • The physical nature of information is further elucidated through this thermodynamic approach.