Octomorphic Field Theory. Derivations

Title: Algebraic Derivations for Octomorphic Field Theory
Author: Brian Aubrey Simpson
Keywords: Octonions, Non-Associative Algebra, Field Theory, Physics, Consciousness, Mathematical Physics
License: Octomorphic Open License v1.1
Description:
This document presents Section I.1: Algebraic Derivations of Octomorphic Field Theory (2025), a novel framework deriving fundamental physics from the octonionic algebra, as constrained by Hurwitz’s theorem. Using the non-associative properties of octonions, we introduce the associator as the core dynamic operator, define 72 meta-stable field configurations, and derive key parameters such as field alignment (L), triality balance (TB), and self-reference depth (D_SR). These underpin the theory’s predictions for particle physics, cosmology, and consciousness emergence, with no free parameters. This section establishes the mathematical foundation, including the Trinity Equation, configuration transition rules, and cross-scale resonance ratios, offering a unified geometric basis for physical reality. For the complete theory and experimental validations, see Simpson, B. A. (2025). Octomorphic Field Theory.Copyright Notice (Octomorphic Open License v1.1)Octomorphic Open License v1.1 (2025)
Authored by Brian Aubrey SimpsonOpen Access for Non-Commercial Use: This work, Octomorphic Field Theory: Section I.1 - Algebraic Derivations, is freely available for study, reproduction, adaptation, and distribution by individuals, educators, and non-profit researchers for non-commercial purposes.Attribution Requirement: All uses or adaptations must credit Brian Aubrey Simpson as the original author. Suggested citation: Simpson, B. A. (2025). Algebraic Derivations for Octomorphic Field Theory. Zenodo. DOI: 

10.5281/zenodo.15602780
Prohibition on Commercial Exploitation: Commercial entities, including corporations and for-profit organizations, are strictly prohibited from using, adapting, profiting from, or claiming authorship of this work or its derivatives without explicit written consent from Brian Aubrey Simpson. Unauthorized commercial use will be pursued under international copyright law.Open Sharing Mandate: Any derivative works must be shared under this same Octomorphic Open License v1.1, remain freely available, and not be enclosed within proprietary or patented frameworks.Enforcement: Violations of this license, including attempts to rebrand, patent, or commercially exploit this work, are considered unethical and subject to legal action under applicable copyright law.This license ensures that Octomorphic Field Theory remains a public resource for scientific advancement, protected from corporate appropriation.

© 2025 Brian Aubrey Simpson. All rights reserved for commercial use.