Decomposition of Kolmogorov Complexity And Link To Geometry

TL;DR

This paper explores the connection between Kolmogorov Complexity and geometry, introducing a decomposition method and applying it to analyze the geometry of Light Cone using computational approximations.

Contribution

It presents a novel approach linking Kolmogorov Complexity with geometric concepts through projection and decomposition methods, supported by computational testing.

Findings

Established a theoretical link between Kolmogorov Complexity and geometry.

Developed formulas for complexity decomposition and projection.

Applied the approach to study Light Cone geometry.

Abstract

A link between Kolmogorov Complexity and geometry is uncovered. A similar concept of projection and vector decomposition is described for Kolmogorov Complexity. By using a simple approximation to the Kolmogorov Complexity, coded in Mathematica, the derived formulas are tested and used to study the geometry of Light Cone.