Unifying gravitation and electromagnetism
Title: Revisiting the foundation of relativity, GTR2 foundations.
Author: © Thierry PERIAT.
French matriculation: ISBN 978-2-36923-0915, EAN-9782369230915.
Publication: 23 March 2016.
Document: Just click on the link.
Other versions: They are no more available; please consider the warning posted on the: English-Speaking-Corner.
- Version 2 proposed to the Journal “Mathematical physics, Analysis and geometry” in July 2018 (manuscript S-18-00125);
- Version 1 posted on zenodo.org in 2019.
The GTR2-GB reconsiders the basic stones with which the theory of relativity has been built.
Three fundamental hypotheses are characterizing the GTR-p theory:
- The discussion is developed in a four-dimensional real vector space E(4, R) referred to a canonical basis.
- The time is a vector (the arrow of time).
- Basis vectors can vary and their successive partial derivations up to the p-th order are again in E(4, R).
With these simple assumptions, two crucial results can be obtained when p = 2:
- There is a mathematical object of which the components are mimicking those of the Riemann-Christoffel curvature tensor; I provisory label it with the composed word “pseudo-curvature tensor”.
- The whole coherence is obtained under one important condition: the partial derivates of the four basis vectors form a Clifford algebra; this mathematical fact suggests the existence of electromagnetic fields with a geometrical origin.
These preliminaries have caught my attention because they seemingly furnish two essential ingredients allowing the construction of a unified theory containing gravitation and electromagnetic fields in a four-dimensional space.
© Thierry PERIAT.
Go to the: “English-speaking-corner”.
The French version
Date de dernière mise à jour : 17/11/2022