An Algebraic Roadmap of Particle Theories, Part I: General construction
High Energy Physics - Phenomenology
2025-02-18 v2 High Energy Physics - Theory
Abstract
Expanding the results of [1], [2], [3], we demonstrate a network of algebraic connections between six well-known particle theories. These are the Spin(10) model, the Georgi-Glashow model, the Pati-Salam model, the Left-Right Symmetric model, the Standard Model both pre- and post-Higgs mechanism. A new inclusion of a quaternionic reflection within the network further differentiates bosons from the boson in comparison to the Standard Model. It may introduce subtle new considerations for the phenomenology of electroweak symmetry breaking.
Keywords
Cite
@article{arxiv.2312.12377,
title = {An Algebraic Roadmap of Particle Theories, Part I: General construction},
author = {N. Furey},
journal= {arXiv preprint arXiv:2312.12377},
year = {2025}
}
Comments
15 pages, 6 figures, First paper in a series; proposed connection to Hodge duality and Jordan algebras via volume elements, updated references