Title: Looking for a neutral element for V4(H, G(2)).
Author: © Thierry PERIAT.
French matriculation: ISBN 978-2-36923-004-5, EAN 9782369230045.
Number of pages: 19.
Publication: 9 August 2022.
Document: available in clicking on the link; the .pdf document will open in an extern window; only on your computer.
In looking for a neutral element for the space E(4, H) equipped with a tensor product deformed by the (4-4-4) cube containing the Christoffel’s symbols, I discover a matrix suggesting a link with the Lorentz transformations … but not only.
I also discover the necessity to introduce time-dependant isometric metrics (among them: the FLRW ones) and I state that the conditions allowing the existence of a neutral element are compatible with a coincidence between two definitions of the Riemann-Christoffel curvature tensor: the traditional one and the one which is induced by the inner logic of the theory studying the diverse decomposition of deformed tensor products; see the document on the page: “Un tenseur de courbure”.
© Thierry PERIAT.
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Date de dernière mise à jour : 29/11/2022