Article
Version 1
Preserved in Portico This version is not peer-reviewed
Introduction to Fermionic Structures in C4 Space-Time
Version 1
: Received: 17 September 2018 / Approved: 19 September 2018 / Online: 19 September 2018 (08:34:16 CEST)
How to cite: Mastoridis, D.; Kalogirou, K. Introduction to Fermionic Structures in C4 Space-Time. Preprints 2018, 2018090374. https://doi.org/10.20944/preprints201809.0374.v1 Mastoridis, D.; Kalogirou, K. Introduction to Fermionic Structures in C4 Space-Time. Preprints 2018, 2018090374. https://doi.org/10.20944/preprints201809.0374.v1
Abstract
We explore several ways, in order to include fermionic structures naturally in a physical theory in C4. We begin with the standard Dirac formalism and we proceed by using Cartan's property of triality as a second option. Afterwards, we suggest a new approach (in a preliminary basis), by introducing an 1-linear form, as the "square root of the geometry" derived by the usual 2-linear forms (quadratic forms). Keeping this way, we introduce n-linear forms, in order to formulate a new geometric structure, which could be suitable for the formulation of a pure geometric uni ed theory.
Keywords
uni ed theories; geometric uni cation; fermionic geometry; Cartan's principle of triality; complex space-time
Subject
Physical Sciences, Space Science
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment