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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.18163123 |
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Table of Contents:
- <p>This work presents a model‑theoretic derivation of the Standard Model based on the non‑commutative operator structure of the 3×3 complex matrix algebra M3(C), developed within the broader framework of Cognitional Mechanics (CM). As part of the CM‑GUT program, the paper shows how fermion generations, gauge symmetries, mass hierarchies, and fundamental constants can be represented as consequences of the algebraic and operational properties of this matrix structure.</p> <p>The approach is not proposed as a replacement for established physical theory, but as a coherent and internally consistent model demonstrating how key features of particle physics may emerge from a single algebraic substrate. In parallel with the companion paper “Einstein Equations from M3(C),” this work positions CM‑GUT as a unified generative framework in which both gravitational and particle‑physics structures arise from the same underlying operator principles.</p> <p>The manuscript provides the algebraic construction, representation assignments, operational interpretation of masses and couplings, and the consistency conditions required for anomaly cancellation. It is offered as a conceptual model for exploring unification through non‑commutative algebra and the generative principles of Cognitional Mechanics.</p>