An analysis of Rick Lockyer's "octonion variance sieve"

TL;DR

This paper formalizes the octonion variance sieve algorithm used in physics, clarifying its structure and providing an alternative derivation algebra perspective to enhance understanding.

Contribution

It presents a symbolic formulation of the octonion variance sieve algorithm and introduces an alternative derivation algebra description.

Findings

Structured the algorithm in symbolic form

Highlighted relationships between function, distance, and invariants

Provided an algebraic perspective using derivation algebras

Abstract

In "Octonion Algebra and its Connection to Physics" [16] an algorithm on octonions is brought forward for description of physical law, the "octonion variance sieve process". This paper expresses the used algorithm in symbolic form, and highlights the structure between the "function", "distance", and "algebraic invariant" concepts therein. An alternative description in terms of derivation algebras is shown.