Information temperature as a measure of DNA's and texts complexity

TL;DR

This paper explores the concept of information temperature as a novel measure of complexity and intelligence in DNA sequences and texts, proposing it as an indicator of academic level and brain activity quality.

Contribution

It introduces the idea of using information temperature as a new characteristic for assessing complexity and intelligence in sequences and texts, expanding Shannon's entropy concept.

Findings

Information temperature can characterize the complexity of DNA and texts.

IT may serve as an indicator of the academic level of texts.

IT could reflect the quality of brain activity of the author.

Abstract

C. Shannon introduced the notion of entropy for random sequences. What about their temperature? After discussing some methods for introducing information temperature (IT) for binary random stationary ergodic sequence, we suggest using IT as a characteristic of complexity and intelligence of an agent capable of writing or generating meaningful texts. In particular, we discuss the question of whether the temperature can characterize the academic level of the text, or serve as an indicator of the quality of brain activity of the text author.