Journal of Applied Mathematics and Physics

Volume 3, Issue 1 (January 2015)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.71  Citations  

Geometry of the Standard Model of Quantum Physics

HTML  XML Download Download as PDF (Size: 359KB)  PP. 46-61  
DOI: 10.4236/jamp.2015.31007    6,012 Downloads   7,367 Views  Citations


General relativity links gravitation to the structure of our space-time. Nowadays physics knows four types of interactions: Gravitation, electromagnetism, weak interactions, strong interactions. The theory of everything (ToE) is the unification of these four domains. We study several necessary cornerstones for such a theory: geometry and mathematics, adapted manifolds on the real domain, Clifford algebras over tangent spaces of these manifolds, the real Lagrangian density in connection with the standard model of quantum physics. The geometry of the standard model of quantum physics uses three Clifford algebras. The algebra  of the 3-dimensional physical space is sufficient to describe the wave of the electron. The algebra of space-time is sufficient to describe the wave of the pair electron-neutrino. A greater space-time with two additional dimensions of space generates the algebra . It is sufficient to get the wave equation for all fermions, electron, its neutrino and quarks u and d of the first generation, and the wave equations for the two other generations. Values of these waves allow defining, in each point of space-time, geometric transformations from one intrinsic manifold of space-time into the usual manifold. The Lagrangian density is the scalar part of the wave equation.

Share and Cite:

Daviau, C. and Bertrand, J. (2015) Geometry of the Standard Model of Quantum Physics. Journal of Applied Mathematics and Physics, 3, 46-61. doi: 10.4236/jamp.2015.31007.

Cited by

[1] Christoffel Symbols and Chiral Properties of the Space-Time Geometry for the Atomic Electron States
[2] 2 Une onde de Dirac augmentée visant l'unification des interactions
[3] Resolution in the Case of the Hydrogen Atom of an Improved Dirac Equation
[4] Extended Relativistic Invariance, Quantization of the Kinetic Momentum
[5] Le monopôle magnétique dans le modèle standard1
[6] Le monopôle magnétique dans le modèle standard
[7] Scientific Community and Remaining Errors, Physics Examples
[8] Towards the Unification of All Interactions (The First Part: The Spinor Wave)
[9] L'onde leptonique générale: Électron+ monopôle magnétique
[10] Towards the Unification, Part 2: Simplified Equations, Covariant Derivative, Photons
[11] Electro-Weak Gauge, Weinberg-Salam Angle
Journal of Modern Physics, 2015
[12] Retour à l'onde de Louis de Broglie
Annales de la Fondation Louis de Broglie, 2015
[13] Charge des quarks, bosons de jauge et principe de Pauli

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.