# GTR2-GB

## The foundations

My document: EAN-9782369230915 - **visit Zenodo.org** (extern link)

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:

- 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-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. This fact may eventually be put in relation with another one which has been obtained within my analysis of the covariant version of the Lorentz law; see the page: The chameleons fields.

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.

The rest of my explorations is checking the plausibility of these premises.

© Thierry PERIAT, 15 February 2020.

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Last edited: 02/12/2020