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. Preprints2018, 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
Mastoridis, D.; Kalogirou, K. Introduction to Fermionic Structures in C4 Space-Time. Preprints2018, 2018090374. https://doi.org/10.20944/preprints201809.0374.v1
APA Style
Mastoridis, D., & Kalogirou, K. (2018). Introduction to Fermionic Structures in <em>C</em><sup>4</sup> Space-Time. Preprints. https://doi.org/10.20944/preprints201809.0374.v1
Chicago/Turabian Style
Mastoridis, D. and K. Kalogirou. 2018 "Introduction to Fermionic Structures in <em>C</em><sup>4</sup> Space-Time" Preprints. 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.
