Quelques rêveries cosmiques cosmoquant-fr

Unifying gravitation and electromagnetism

Title: Revisiting the foundation of relativity, GTR2 foundations.

Author: © Thierry PERIAT.

French matriculation: ISBN 978-2-36923-0915, EAN-9782369230915.

Language: GB/USA.

Version: 1

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.

  1. Version 2 proposed to the Journal “Mathematical physics, Analysis and geometry” in July 2018 (manuscript S-18-00125);
  2. Version 1 posted on zenodo.org in 2019.

Nom du fichier : Isbn 978 2 36923 091 5 periat

Taille : 344.01 Ko



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

Vers la grande unification

Date de dernière mise à jour : 17/11/2022