Kolmogorov Complexity: Defining Randomness Through Incompressibility — E8 Intelligence Research

FINDING: Algorithmic information theory defines randomness via Kolmogorov complexity — a string is random if no shorter program can generate it. | MATH: \( K(s) = min\{ |p| : U(p) = s \} \), where \( U \) is a universal Turing machine. Random strings have \( K(s) ≈ |s| \). | CONNECTION: No direct geometric ratios or symmetries emerge from these sources. The concept is discrete and computational, not continuous or harmonic. | DEPTH: 7 — Foundational to limits of knowledge and compression, but lacks geometric or crystallographic structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com