# Kaula's rule is a consequence of probability laws by A. N. Kolmogorov and his school

## TL;DR

This paper discusses how Kaula's rule emerges from fundamental probability laws, based on A. N. Kolmogorov's early 1930s work on analytical methods in probability theory and Markov processes.

## Contribution

It links Kaula's rule to probability laws through Kolmogorov's foundational work on Markov processes and their evolution equations.

## Key findings

- Kaula's rule is derived from probability laws.
- Kolmogorov's work on Markov processes underpins Kaula's rule.
- The paper connects early 20th-century probability theory to geophysical observations.

## Abstract

At the beginning of 1930-s A. N. Kolmogorov has published three papers on analytical methods for the probability theory. The two-page work had the essence of the approach started by A. Einstein and developed further by Fokker and Planck. He proposed a fundamental solution for evolution description of the 6D vector of the probability distribution at the Markov character of action which in modern terms is usually called as time delta-correlated acceleration. This is an approximation of processes when correlation time of random forces is much smaller than the reaction time of the system in consideration.

---
Source: https://tomesphere.com/paper/1901.06307