Kolmogorov Complexity, Causality And Spin

TL;DR

This paper introduces a topological and computational framework linking Kolmogorov Complexity to physical phenomena like causality and spin, suggesting laws of physics emerge from complexity-based filtering.

Contribution

It presents a novel method connecting Kolmogorov Complexity with causality and spin, offering a new perspective on physical laws as complexity-based filters.

Findings

Causality arises from high Kolmogorov Complexity values.

Spin is a consequence of high Kolmogorov Complexity.

Physical laws act as low-pass filters for small complexity values.

Abstract

A novel topological and computational method for 'motion' is described. Motion is constrained by inequalities in terms of Kolmogorov Complexity. Causality is obtained as the output of a high-pass filter, passing through only high values of Kolmogorov Complexity. Motion under the electromagnetic field described with immediate relationship with Subscript[G, 2] Holonomy group and its corresponding dense free 2-subgroup. Similar to Causality, Spin emerges as an immediate and inevitable consequence of high values of Kolmogorov Complexity. Consequently, the physical laws are nothing but a low-pass filter for small values of Kolmogorov Complexity.