An Algebraic Roadmap of Particle Theories
Author:
Open Access
- 15 February 2025
- journal article
- Published by Wiley in Annalen der Physik
- Vol. 537 (4)
Abstract
Expanding the results of previous research, a network of algebraic connections is demonstrated 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
All Related Versions
Funding Information
- Humboldt-Universität zu Berlin
This publication has 29 references indexed in Scilit:
- Left-Right Symmetric Fermions and Sterile Neutrinos from Complex Split Biquaternions and BioctonionsAdvances in Applied Clifford Algebras, 2023
- Superselection of the weak hypercharge and the algebra of the Standard ModelJournal of High Energy Physics, 2021
- The Unified Standard ModelAdvances in Applied Clifford Algebras, 2020
- R $\otimes $ ⊗ C $\otimes $ ⊗ H $\otimes $ ⊗ O-Valued Gravity as a Grand Unified Field TheoryAdvances in Applied Clifford Algebras, 2019
- Leptons, Quarks, and Gauge from the Complex Clifford Algebra $\mathbb {C}\ell _6$ C ℓ 6Advances in Applied Clifford Algebras, 2018
- Generations: three prints, in colourJournal of High Energy Physics, 2014
- A magic pyramid of supergravitiesJournal of High Energy Physics, 2014
- Beyond the spectral standard model: emergence of Pati-Salam unificationJournal of High Energy Physics, 2013
- Quaternions for GUTsInternational Journal of Theoretical Physics, 1996
- Octonionic representations of Clifford algebras and trialityFoundations of Physics, 1996