Kolmogorov Complexity as an Objective Measure of Integrated Information — E8 Intelligence Research

FINDING: Kolmogorov Complexity provides an objective, program‑length measure of algorithmic information and randomness, enabling formal quantification of integrated information. | MATH: K(x)=min{|p|:U(p)=x}; invariance theorem |K_U(x)−K_V(x)|≤c; Chaitin's halting probability Ω=∑_{p halts}2^{−|p|}. | CONNECTION: None identified in the supplied evidence. | DEPTH: 9 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.23998059
Primary Topic
Computability, Logic, AI Algorithms
Type
preprint
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preprint

Kolmogorov Complexity as an Objective Measure of Integrated Information — E8 Intelligence Research

Andrew Stewart Caldin
9 links
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
preprint

Kolmogorov Complexity as an Objective Measure of Integrated Information — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Kolmogorov Complexity provides an objective, program‑length measure of algorithmic information and randomness, enabling formal quantification of integrated information. | MATH: K(x)=min{|p|:U(p)=x}; invariance theorem |K_U(x)−K_V(x)|≤c; Chaitin's halting probability Ω=∑_{p halts}2^{−|p|}. | CONNECTION: None identified in the supplied evidence. | DEPTH: 9 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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Kolmogorov Complexity as an Objective Measure of Integrated Information — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS