Entropic Integrated Information Theory-Theory of Consciousness

The author proposes a mathematical reformulation of Integrated Information Theory (IIT) using entropy as the measure of information and as the information distance function. The paper modifies the structure of IIT and Quantum Integrated Information Theory by treating mechanisms as open subsets of a topological space where the system is the topology. It argues that entropy should serve as the measure of cause/effect information and information distance, drawing on prior work. The relationship between entanglement and conceptual information is also explored. The work attempts to unify consciousness, quantum information, entanglement, and quantum mechanics within a single theoretical framework.

Study at a glance

Abstract

In this paper I am going to give a mathematical theory of Integrated Information Theory, using entropy as measure of information and hence, as the information distance function. Also, we will consider a set, whose open subsets are mechanisms and topology is the system, we use these two modification in the structure of Integrated Information Theory [2] and Quantum Integrated Information theory [3], to define Entropic Integrated Information Theory, we will also justify our claims to use why entropy should be use as a measure of cause/effect information and as information distance function using [1]. We will also see the relationship of entanglement with concept and conceptual information. This paper is an attempt to binds consciousness, quantum information, entanglement and quantum mechanics together.